This is a catalogue of and guide to the Charles S. Peirce
Papers which are presently housed in the Houghton Library,
the rare book and manuscript library at Harvard University.
The papers were for the most part received by the Harvard
Philosophy Department from Peirce's widow in the winter
of 1914-15, less than a year after his death. These
are the papers which have been worked on over the years
by several scholars, initially by Josiah Royce, who
unfortunately died before much progress was made, more
recently by Charles Hartshorne, Paul Weiss, and Arthur
Burks, as editors of the Collected Papers,* and most
recently by Max H. Fisch, in connection with the preparation
of an intellectual biography of Peirce.
The papers have been divided into two parts. Part One
consists principally of manuscripts; Part Two, of correspondence.
The manuscripts range over the whole of Peirce's intellectual
life and include as anyone familiar with Peirce might
expect manuscripts on logic, mathematics, metaphysics,
and pragmatism. Also included are Peirce's scientific
manuscripts, his manuscripts in the history of science
and in linguistics, his reviews and translations, and
various other manuscripts, many of biographical interest.
In addition to the manuscripts, there is a considerable
body of correspondence which ranges over much of Peirce's
private and professional life. Placed with this correspondence,
but organized separately, is the correspondence of
Peirce's second wife Juliette, the correspondence among
various members of Peirce's family, and some miscellaneous
correspondence.
In the fall of 1960 when I began my work on the Catalogue,
Peirce's papers had been assembled for the convenience
of those who, like myself, were engaged in one or another
of several Peirce projects. Although the papers were
all in one place, there were, in fast, three separate
sets of Peirce materials, all organized, with a catalogue
for one and a catalogue of sorts for another, but none
for the third. The bulk of the Peirce Collection at
Harvard, consisting of sixty-one boxes and bundles,
had been maintained in the Archives of Widener Library
The "Archives" material had been organized,
boxed, and catalogued in 1941 by Knight W. McMahan.
McMahan's ninety-nine page typewritten "Catalogue
of the C. S. Peirce Manuscripts," with its description
of what the boxes contained,
* Collected Papers of Charles Sanders Peirce, Vols.
I-VIII, Harvard University Press, 1931-1958.
served well the needs of Peirce scholars who sought
to examine the contents of those boxes and, although
incomplete, it came as close as was possible at that
time to putting Peirce's papers into some kind of final
order. Later John F. Boler contributed an eleven-page
addition which dealt more effectively than McMahan's
catalogue had with Peirce's book reviews.
Another distinguishable part of the Peirce Collection,
also sizable but of less importance than the material
located in the Archives, had been maintained in Houghton
Library. The "Houghton" material consisted
of some nineteen boxes which had neither been classified
nor catalogued until a preliminary arrangement and
listing of this material was effected in 1960 by John
Boler in his "Interim Catalogue," a typescript
of thirteen pages.
The third distinguishable part of the Peirce Collection
the correspondence had been kept mostly with the
"Archives" material and had been partially
organized by McMahan at the time he was working on
his catalogue. But since then, in 1960 to be specific,
the collection of family correspondence, formerly in
the Benjamin Peirce Papers in the Archives had been
transferred to the Charles Peirce Collection by authorization
of Charles Peirce's niece, Miss Helen Ellis. Subsequently,
more family correspondence found its way into the Collection,
again, by authorization of Miss Helen Ellis. By this
time, the whole of the correspondence had been completely
reorganized.
In addition to the Peirce material noted above, there
were miscellaneous manuscripts that had been listed
separately in the catalogues of Widener and Houghton;
various collections of articles on or by Peirce, some
of the articles being annotated; annotated books from
Peirce's library; public documents and photographs;
and much unedited, scraplike material, to mention only
some of the items which needed to be integrated with
the rest. The present catalogue is the attempt to gather
several collections and miscellaneous items into one
collection. Unquestionably, the fact that so much of
the Peirce manuscripts and correspondence had already
been ordered or partially ordered, greatly facilitated
my own efforts at integration. Clearly, if it were
not for the fast that the cataloguing of the Peirce
Papers had a history, this catalogue could not have
been produced, most certainly not in the time it took
to produce it.
Having noted the history of the cataloguing of the Peirce
Papers, I would be remiss if I did not mention the
contributions of W. F. Kernan and V. F. Lenzen.* Kernan's
"List of C. S. Peirce Manuscripts," a nine-page
* For interesting accounts of the early history of the
Peirce Papers, see V. Lenzen's "Reminiscences
of a Mission to Milford, Pennsylvania," Transactions
of the Charles S. Peirce Society, I, X (Spring 1965)
pp. 3-11 and W. F. Kernan's "The Peirce Manuscripts
and Josiah Royce A Memoir Harvard 1915-1916,"
Transactions of the Charles S. Peirce Society, I, 2
(Fall 1965) pp. 90-95.
typescript, was prepared at the time he was assisting
Royce in organizing Peirce's papers and collaborating
with him on an article entitled "Charles Sanders
Peirce" which appeared in the Journal of Philosophy,
December 21, 1916, a memorial issue devoted to Peirce.
Lenzen's "Notes on Papers and MSS. in The Charles
S. Peirce Collection," a twenty-page typescript,
is an evaluation of the contents and the physical condition
of the manuscripts which, at the time (December 1917),
were sorted into eighty-three boxes. The Kernan and
Lenzen typescripts, along with the catalogues of Boler
and McMahan, are kept with the Peirce Papers, and are
available for consultation.
Needless to say, I am indebted to all those who have
shared in the ordering and cataloguing of the Peirce
Papers. Nor is my indebtedness limited to those who
were actively engaged in cataloguing per se. My indebtedness
extends to the several editors of the Collected Papers
who were engaged, along with the others, in the work
of identifying, classifying, and uniting papers which
had become separated. With very few exceptions, the
readers of this catalogue and of the microfilm edition
of Peirce's papers which has recently been made available,
and even the persons who may in the future use this
catalogue as a guide to the original papers themselves,
will get only a very inadequate sense of the years
of labor that have gone into this sort of preliminary
editorial work. For this and other reasons I want to
record my indebtedness to those who most recently have
been and still continue to be engaged in that same
work of identifying, classifying, and reassembling.
Besides Max H. Fisch, for whom a special word of gratitude
is reserved, I wish to mention especially the contributions
of Carolyn Eisele to the mathematics and the history
of science sections of the Catalogue, of Ruth B. Fisch
to the biography and correspondence sections, and of
Don D. Roberts who ordered and provided a page-by-page
index of the important Logic Notebook (MS. 339) and
who had done considerable work on a number of logic
manuscripts. Although each of the persons mentioned
had areas of spe-cial interest, their efforts in behalf
of the Catalogue were not confined only to those areas.
Over the past few years earlier drafts of this catalogue
were in active use, and this afforded opportunity for
correction and am-plification. The present catalogue
is the beneficiary of both. So to those persons mentioned,
I owe much of what is valuable in this catalogue; for
its failures, I alone am responsible.
My major debt of gratitude is to Max H. Fisch. It is
only right to point out the fact that he, along with
Ruth B. Fisch, has spent an incredible amount of time
on the sort of preliminary editorial work noted above.
Therefore, it is not surprising that nearly every page
of the Catalogue bears witness to his scholarship and
encyclopedic knowledge of Peirce's life and works.
To be more specific: McMahan's catalogue dealt reasonably
well with Peirce's mathematical, philosophical, and
scientific papers, but only sketchily with his correspondence
and other papers of biographical interest. It was Professor
Fisch's extensive work on the correspondence and these
other papers which resulted, especially in the case
of the correspondence, in the organization exhibited
in this catalogue. Moreover, it was he, who, more than
anyone else, saw the need, not only for a more adequate
catalogue of Peirce's papers than existed at the time
but also for the preservation of the papers themselves.
So two projects cataloguing and microfilming were
joined and brought to completion under his watchful
eye.
This catalogue would not have been possible had it not
been for the generosity of the Department of Philosophy
of Harvard University, not only for consenting to and
encouraging the cataloguing project but also for contributing
very substantial financial assistance along the way.
Specifically, I want to acknowledge a grant for the
academic year 1960-61, wich allowed me to prepare the
ground for the Catalogue, and other grants which enabled
me to complete the project. I want also to acknowledge
my gratitude to Professors Morton G. White and Donald
C. Williams, who made up the Peirce Committee of the
Harvard Philosophy Department, for their cordial cooperation
throughout the years I was engaged on the project;
to the Department for permission to quote from the
unpublished manuscripts; and to the Department, again,
for its generous subsidy that cleared the way for publication
of the Catalogue.
I also wish to express my gratitude to the Henry P.
Kendall Foundation for a grant-in-aid which got me
through one summer and to the Mount Holyoke College
Grants Committee for a research grant which helped
to defray the cost of preparing the manuscript for
publication. Grateful acknowledgment is made to the
librarians, both at Harvard and Mount Holyoke College,
whose cooperation contributed to the success of this
project, but in particular to Miss Carolyn Jakeman
of the Houghton Library and to Dr. William Bond, its
Director. I would also like to express my thanks to
Leone Barron, Director of the University of Massachusetts
Press, for her unfailing enthusiasm and valuable editorial
advice; to several Mount Holyoke College students for
help in various ways, but principally to Miss Diane
Goldberg for her help in connection with Appendix II
and the General Index; and finally to my wife for her
help at different stages in the preparation of the
Catalogue.
South Hadley, Massachusetts RICHARD S.
ROBIN June, 1967
INTRODUCTION
It had been evident for some time that an updated catalogue
of the Charles S. Peirce Papers was needed, one which
would survey the whole Collection, making as widely
available as possible a detailed statement of what
it contained and answering, so far as possible, the
questions scholars raise, including those about the
date of manuscripts and their relation to published
versions. Indeed the manuscripts and correspondence
are so voluminous and unwieldy that it is virtually
impossible for anyone to deal with them successfully
without benefit of the orientation which a catalogue
of the kind envisioned would provide. Moreover, as
the prospects of a microfilm edition of the Peirce
Papers increased, so did the need for an adequate catalogue,
which would reflect an orderly arrangement of the Papers
and assist the users of a microfilm edition.
The catalogue which was finally produced is imperfect.
It is imperfect because of the frequency of error in
what already has been done. More importantly, it is
imperfect because of what has not been done; that is,
much remains to be done by way of identifying and describing,
piecing together scattered fragments, assigning dates
to undated manuscripts and letters, and the like. But,
imperfect as this catalogue is, it is better than none
at all, and all of us who contributed to it recognized
that the needs for a comprehensive catalogue now outweighed
the advantages of indefinite delay.
ORGANIZATION OF THE CATALOGUE
As noted in the Preface, the Catalogue is divided into
two parts. The first part consists of manuscripts and
related material; the second part comprises the correspondence,
both Peirce's and the correspondence of others. The
organization of the correspondence presented no special
problems, but the organization of what may be called
the "subject matter" part of the Catalogue
was another story, and a brief word concerning the
problems encountered and the principle of organization
finally adopted is in order.
Of the two alternative ways of organizing a man's papers
chronologically and by content neither way, in spite
of the obvious advantages of each, was easily adapted
to the Peirce Collection. Consider the following problems.
If the decision is made to order by chronology, what
then does one do with the large quantity of undated
papers? (Less than half of the 1,644 catalogue entries
are dated and of the dates not supplied by Peirce
himself many are conjectural.) Moreover one would have
to expect that some of the material would be cut up
rather badly as in those instances where Peirce comments
on earlier articles. By virtue of temperament and other
needs, Peirce can be described as just as Henry James
had been an inveterate "revisionist." His
tendency to rework drafts of articles and books left
future editors of his manuscripts with the problem
of unscram-bling the various drafts, which, in some
cases, had been written years apart.
Consider now the problems resulting from a decision
to order the manuscripts by content. How does one handle
Peirce's many digressions? Even more significant perhaps
is the problem inherent in schemes that emphasize content;
namely, the risk one runs of either imposing too much
order or not enough order. Organization is rarely innocent,
and the greater the organization the greater the risk
that one's bias or interpretation will get in the way
of a clear presentation of what there is. However,
if one chooses to "play it safe" by arranging
the manuscripts as much as possible according to content,
thereby achieving a spectrum of sorts, and only then
drawing the lines at the more palpable breaks, the
results will tend to be nondescript. Finally, as was
pointed out to me, if an index were eventually prepared,
it would cancel out the need for ordering by content
in the first place.
A compromise between ordering by chronology and by content
seemed called for. But what compromise? One answer
was provided by Boler who, at one point, submitted
a plan to the Harvard Philosophy Depart-ment which
seemed perfectly reasonable and promising. His plan
in-volved six steps: (X) following Burks's bibliography
of Peirce's published works (Collected Papers, Vol.
VIII, pp. 260-321), locate and file the man-uscripts
for each entry; (2) place alternative drafts (and identifiable
fragments) with above; (3) from the remaining unpublished
material, file what is alike in content with above;
(4) also, some of the remaining material, especially
complete drafts and identifiable fragments, may be
filed chronologically; (5) whenever possible, arrange
what remains according to content; (6) finally, classify
the remainder of unidentifiable fragments as such.
Boler confessed that he became disillusioned about
the idea that Steps 3 and 4 would take care of the
bulk of the material. I too became disillusioned, and
for the reasons Boler gave. But my difficulties with
Boler's plan carried somewhat further.
Perhaps the decisive factor in the decision which was
ultimately made to compromise while emphasizing content
was the fact that the bulk of Peirce's philosophical
and other manuscripts the "Archives" material
had already been classified by content, in accordance
with a scheme adopted by McMahan. The "Houghton"
material which had been cata-logued independently by
Boler on the basis of some other scheme was from the
point of view of both quantity and quality far less
significant.
It was tempting, therefore, to adopt the McMahan catalogue,
with its principle of organization, incorporating the
"Houghton" material as best one could. In
this way, the manuscripts might be consolidated, but
even more important, since consolidation might be achieved
in other ways, was the amount of time and work that
could be saved.
The decision to adopt Peirce's own classification of
the sciences (which in effect, is what McMahan did)
was clearly a practical one, but only in part. Independently
there are good reasons for turning to Peirce's classi-ficatory
scheme. For one thing, it has the advantage of spreading
out Peirce's manuscripts in an orderly way without
making the results appear nondescript and without imposing
more order than is absolutely necessary. For another
thing, it is Peirce's scheme, not someone else's, concocted
for the occasion.
There are a number of accounts of Peirce's classificatory
scheme of the sciences. In brief, his classification
begins with the distinction between a theoretical and
a practical science, a distinction based upon the difference
of two interests the theoretical interest in attaining
knowledge for its own sake and the practical interest
in attaining knowledge for the sake of something else.
The theoretical branch of science is subdivided into
(a) the sciences of discovery and (b) the sciences
of review, with the latter dependent upon the former,
since review implies the review of something which,
in this case, is the information provided by the various
sciences of discovery. Indeed, Peirce's own studies
in classification are subsumed under (b), as one might
expect.
Although Peirce did classify the practical sciences,
he was chiefly con-cerned with the theoretical ones,
especially those which fell under the heading "sciences
of discovery" or, in other places, "sciences
of research," and it is his classificatory scheme
for those sciences which turned out to be most useful
for our purposes. Below is one of several tabular listings
from Peirce's papers.*
MATHEMATICS
PHILOSOPHY
Phenomenology, or Ideoscopy
Normative Science
Esthetics
Ethics
Logic
Speculative Grammar
Critic
Methodeutic
Metaphysics
IDIOSCOPY, or SPECIAL SCIENCE
Physics
Nomological Physics
Classificatory Physics
Descriptive Physics
Psychics
Nomological Psychics [Psychology]
Classificatory Psychics [Ethnology]
Descriptive Psychics [History]
* This particular list is taken from a manuscript placed
with the Matthew Mattoon Curtis correspondence (L107).
The manuscript is an incomplete draft of a philosophical
autobiography prepared in response to Curtis's request
for information concerning Peirce's logical and philosophical
views. For a more complete account of Peirce's classificatory
scheme for the sciences, see Collected Papers, Vol.
I, pp. 75-137. For a good summary account, see Thomas
Goudge, The Thought of C. S. Peirce (Toronto: Toronto
University Press, 1950) pp. 44-50.
The above listing is for the sciences of discovery (research)
only. It should also be clear that the listing is incomplete,
for it fails to give the subdivisions of mathematics,
metaphysics, and the idioscopic sciences, especially
the last with its elaborate arrangement of suborders,
families, and subfamilies.
The listing also fails to indicate the hierarchical
character of Peirce's classificatory scheme. For Peirce,
the sciences listed first are independent of those
listed later. Or, if you like, when borrowing occurs,
each science tends to borrow from those sciences which
precede it in the classification. Thus, for example,
in the case of the subdivisions of logic, methodeutic
rests upon both critic and speculative grammar, critic
upon speculative grammar alone vis a vis the divisions
of logic, and speculative grammar upon neither, but
only upon those sciences (ethics, esthetics, phenomenology,
mathematics) which precede it in the hierarchy. Or,
more generally, the mathematician, as such, working
independently of the other scientists, seeking formal,
not material, truth, traces out the necessary consequences
of hypotheses which others, to be sure, may posit.
Philosophy (all branches) is dependent upon mathematics,
but takes precedence over all the special sciences,
which follow it in the hierarchical scheme.
If one examines my table of contents, and observes the
order in which Peirce's papers are catalogued, one
will note the Catalogue's general adherence to Peirce's
classificatory scheme. The Catalogue lists Peirce's
mathematical works first, and attempts to deal with
these works along the lines suggested by Peirce's division
of mathematics into the mathe-matics of logic, of discrete
series, of continua and pseudo-continua. The items
listed toward the end textbooks, recreations, computations
and fragments are conveniently placed there, and have
nothing to do with the classificatory scheme for mathematics.
If one ignores pragmatism the next major division of
the manuscripts following mathematics and concentrates
on the other divisions (phe-nomenology, logic, metaphysics,
physics, chemistry, astronomy, geodesy, psychology,
linguistics, history, sciences of review, practical
science), especially the order in which they occur
in the Catalogue, one ought to observe that the remainder
of the Catalogue follows Peirce's classificatory scheme,
although this may not be self-evident with respect
to some of the divisions Why, for example, does chemistry
precede astronomy, both in Peirce's scheme and in my
catalogue? The reason is that chemistry falls under
classificatory physics whereas astronomy falls under
descriptive physics, and classificatory physics takes
precedence over descriptive physics in Peirce's scheme.
Again: Why does linguistics take precedence over history?
The answer is that linguistics falls under classificatory
psychics, and history, as already indicated, falls
under descriptive psychics. Since classificatory psychics
precedes descriptive psychics in Peirce's account,
linguistics takes precedence over history.
This is not to say that I have slavishly followed Peirce's
scheme for the classification of the sciences. As a
matter of fact, a rigid adherence to Peirce's scheme
is neither required nor desirable. I have followed
the scheme only so far as it proved to be advantageous
to do so; I have de-parted from it whenever I concluded
that by adhering to it the presen-tation of the Peirce
material would be hampered Indeed, if one observes
closely the organization of this catalogue, one will
observe the many liberties taken with Peirce's classificatory
scheme, with perhaps the major liberty taken with respect
to the manuscripts on pragmatism.
Pragmatism, as a division or heading, presents a special
problem. As things stand, given Peirce's classificatory
scheme, the manuscripts on pragmatism are out of order.
They ought to be in closer proximity than they are
now to the logical manuscripts. Pragmatism clearly
cuts across the divisions of logic, and perhaps ought
to have been subsumed under logic, that is, under one
or more of its divisions. After all, did not Peirce
come to the view that pragmatism is the logic of abduction?
The justification for its present position in the Catalogue,
as a separate division between mathematics and phenomenology,
rests on the desire not to bury pragmatism among the
manuscripts on logic, because of the general im-portance
of pragmatism in Peirce's thought and of the lecture
series or series of articles of which many of the manuscripts
form an integral part.
There are other kinds of problems. One kind concerns
the gaps in the Catalogue. To cite one example, Peirce's
classificatory scheme calls for the ethnology of social
development, one of the sciences comprising one of
the many subdivisions of psychical science. The fact
that there is no place or listing for it in the Catalogue
means simply that none of the manuscripts of Peirce
are concerned specifically with the ethnology of social
development.
More serious, perhaps, is the failure of this catalogue
to provide separate listings for, say, ethics or speculative
grammar. But here the problem was not one of finding
manuscripts which dealt specifically with ethical problems
or the issues of speculative grammar. Indeed there
are many such manuscripts. The problem was frequently
that of separating units of larger works lecture series
or series of articles or chapters in a proposed book
something which this editor was reluctant to do. In
such cases, the descriptions attached to catalogue
entries and the general index are counted on to direct
the reader's attention to subject matter for which
the Catalogue provides no separate heading or listing.
Then there is the other kind of problem one runs into
when dealing with classificatory schemes generally
the problem of how to classify this or that relative
to the scheme with which one is working. For example,
does this manuscript fall under logic or mathematics?
Does that manuscript belong with the manuscripts on
pragmatism or somewhere else? Often it is not a simple
matter to decide, especially when Peirce digresses
and when the digression becomes the most significant
feature of the manuscript. Sometimes, usually in the
case of notebooks, two quite different articles are
begun, which forces the editor to decide their relative
importance, with the ever present possibility of judgmental
error. When confronted with problems of this kind,
I have again counted on my descriptions to call attention
to anomalies and the general index to bring similar
but widely separated material together.
Finally, there are the outright mistakes. One of these
will serve as an example. There is no excuse for separating
MSS. 314 and 316, since MS. 316 continues MS. 314.
In this case the error was discovered only after the
microfilming of the manuscripts was completed. Undoubtedly
there are errors of this and other sorts which have
yet to be discovered. Work on the Catalogue proceeded
on the expectation that errors, both of commission
and omission, would be made; it also proceeded in the
hope that these errors, when discovered, would be reported
and collected, and then, in one way or another, made
available to users of this catalogue.
THE FORM OF THE CATALOGUE
The manuscript portion of the Catalogue differs from
the correspondence portion with respect to the form
employed in presenting the relevant information concerning
each entry. For the manuscript portion, each entry
is presented in an arrangement of six or seven parts:
1. Title
2. Abbreviated title (Mark)
3. Type of material, whether manuscript, typescript,
reprint, or other
4. Publication
5. Date
6. Pagination
7. Description of content
In the Catalogue, Parts 1 and 2 (title) are separated
from Parts 3-6 (physical description) which in turn
are separated from Part 7 (description of content).
Peirce's titles are presented without brackets or parentheses,
just as they appear in the manuscripts. Title page
punctuation is retained and the original spellings
have been preserved in all titles without the use of
sic to indicate deviations from the norm.
The use of brackets indicates that the title has been
supplied by the editor. It goes without saying that
when a title has been supplied, it is always in the
absence of one provided by Peirce, either because he
never provided one or because the title page is missing.
In defense of supplying titles may I say that it serves
as a convenient way of noting a manuscript's principal
content and, in many cases, the supplied title as a
brief description of the contents saves space by enabling
us to dispense with a formal description at the end.
May I also add that the supplied titles are sometimes
less misleading than the titles which Peirce himself
gives. Although Peirce's titles no doubt acquaint us
with his intentions, do they also acquaint us with
the manuscript's contents? Certainly not in those cases
where the manuscript progresses only a few pages and
where Peirce's introductory reflections have little
or nothing to do with the title. Or, where the manuscript
digresses from the topic indicated by the title, and
the digression is the manuscript's distinctive feature.
A large number of Peirce's manuscripts have no title,
but some of these possess a mark which is most often
found in the upper left-hand corner of the manuscript
page. When the mark occurs in conjunction with a title,
it frequently stands for a short or abbreviated form
of the title. It becomes a matter for conjecture when
there is a mark but no title. In any event the occurrence
of a mark is indicated by the use of parentheses. When
the manuscript possesses both a title and a mark, the
procedure is to record the title first and the mark
in parentheses second. When the manuscript possesses
only the mark, then the mark, distin-guished from the
title by the use of parentheses, serves in place of
the title.
In the next parts (3-6) I was concerned with identifying
the type of material, whether a manuscript or typescript,
or reprint, or book, or page proof, or galley proof,
or the like. I was also concerned with whether, in
the case of typescripts, reprints, books, and proofs,
there was any annotation or correction.
Most of the manuscripts were not published. But where
publication had occurred this is noted by reference
to Burks's bibliography and Fisch's two supplements.
For an explanation of both Burks's and Fisch's manner
of handling bibliographical references, see my explanations
of conventions on p. xxvii f. The Catalogue notes whether
a manuscript was published in full or in part, and
where publication was in part only, precisely what
part was published. The only exception to notification
of publication occurs in those cases where a part,
or even the whole of a manuscript, was published as
part of another author's publication. For example,
MS. 620 was published as an appendix to one of Fisch's
articles on Peirce,* but there is no indication of
this publication in the description of MS. 620. This
happens to be a significant publication, but, in other
cases, it was difficult to say what was and was not
significant, and it did not seem worthwhile to mention
every publication of this kind.
When not placed within brackets or qualified in any
other way, the given date is Peirce's. As a rule one
date is given and this is the date which is usually
recorded on the title page or, in the case of some
note-books, on the cover. Most often it is the only
date. But where several dates are given, the range
of dates is noted in the description.
When the date is placed in brackets, then the date,
as in the case of titles, has been supplied by someone
other than Peirce. Whereas I supplied the titles, various
persons at different times and with varying degrees
of confidence supplied the dates. When the date is
placed in brackets without any other qualifying mark,
then it is presumed to be accurate, derived from reliable
internal evidence. A date preceded by "c."
is presumed to be an accurate central locus of possible
dates. A date followed by a question mark is frankly
a "best guess," based on some internal evidence.
When the expression "n.d." occurs, it means
that for the moment not even a good guess can be made.
The pagination of a manuscript is indicated by two forms,
for example, either pp. 1-5 or 5 pp. The first form
signifies that the manuscript was numbered by Peirce;
the second form gives the editor's count. One difficulty
in determining a true page count rests with Peirce's
habit of using the verso of a page of manuscript for
calculations or other notes which may or may not be
related to the manuscript in question. The question
of whether to count a page or not sometimes proved
difficult and left room for judgmental error. For additional
information concerning pagination, see the guide to
the use and consultation of the microfilm edition of
the Peirce Papers, prepared by the Harvard University
Microreproduction Service, which is reproduced in the
next section of this introduction.
* See Studies in the Philosophy of Charles Sanders Peirce,
Second Series, edited by Moore and Robin, University
of Massachusetts Press, 1964, pp. 24-29.
In 1915, a few of the manuscripts had become separated
from the main Peirce Collection. These were added to
the general manuscript collection of the Harvard University
Library. They were catalogued separately, each with
its own call number. Now that they have been restored
to the Peirce Collection, their old call numbers have
been added to the description for the purpose of identifying
them.
In the interest of economy the content descriptions
(Part 7) have been pared down to the bare essentials
necessary for a clear indication of what there is.
The descriptions tend to be topical rather than critical,
serving more the function of an index than an analytical
table of contents. Not all entries have descriptions,
although bracketed titles are intended in all cases
to emphasize the principal content of the manuscript.
For the most part Peirce's own titles serve the same
function. When they do not, a formal description is
indicated and provided. But, in general, descriptions
are provided for the important entries only, except
where the lack of a description means either that,
in the case of a draft of a complete or more refined
version, the manuscript in question says nothing not
already contained in the description of that later
or refined version or contains no additional information
which in the judgment of the editor is worth special
notice. In any event the reader should take note of
the number of pages of manuscript. If they are few,
the topic or topics indicated by the title or by the
formal description may not be very well developed.
Throughout the manuscript portion of the Catalogue,
although occurring infrequently, are entry numbers
for which there are no manuscripts, as distinct from
those entries where a manuscript exists but is missing.
These "holes" were created by the fast that
the manuscripts which were originally there have been
recombined with other manuscripts and that this was
done after the completion of the microfilming. Rather
than renumber, the entry numbers were retained, but
left blank. The "holes" may even have a use
someday. They might conveniently serve as the means
of slipping new Peirce material into the collection,
if such material is ever uncovered.
The correspondence constitutes the last portion of the
Catalogue and is divided into four parts: the Charles
S. Peirce correspondence, which contains all of Peirce's
letters, both those he wrote and those he received;
the Juliette Peirce correspondence, which contains
all of Juliette Peirce's correspondence, except such
correspondence as involves Peirce jointly and which
was, for this reason, placed with his correspondence;
the family correspondence, which consists of correspondence
among members of Peirce's family but which does not
involve Peirce or his wife Juliette directly; and miscellaneous
correspondence.
The form adopted for the correspondence is the simplest
possible one. For the Charles S. Peirce correspondence,
the correspondents are listed alphabetically, the number
of letters and letter drafts noted, and, when these
are dated, the dates recorded, except when more than
three of them are involved and when more than three
are dated, in which case only the first and last dates
are given. Where dates were lacking, an attempt was
made to supply them, the procedure here being the same
as for the manuscripts. Supplied dates appear in brackets,
with or without "c." and with or without
question marks. The remaining parts of the correspondence
follow the form of the first part.
The division of the Catalogue into two parts manuscripts
(or, as sometimes represented, subject matter) and
correspondence is a bit misleading insofar as it suggests
that no correspondence is to be found in the first
part and nothing which is classifiable as subject matter
is to be found in the second part. On the contrary,
an occasional letter draft may be found among the manuscripts;
these were filmed with the manuscripts and all but
those which appear on the versos of manuscript pages
were subsequently placed with the correspondence, once
it became clear that they belonged there. Not all of
Peirce's correspondence is personal and business correspondence.
There is much which can be described as professional,
so much so that if the first few pages and the last
were set aside, the remainder could easily be mistaken
for manuscript material. Indeed, this is the principal
reason why some correspondence was originally placed
with the manuscripts.
Finally, a word about the four appendices. Appendix
I is a supplement to my catalogue descriptions necessitated
by certain discrepancies between the descriptions and
what is contained in the microfilm edition of the Peirce
Papers. (See the following section of this introduction
for an explanation of the discrepancies and the manner
of handling them.) Appendix II is a chronological listing
of Peirce's manuscripts. It is hoped that this listing
can be expanded some day, as scholars are able to date
more of Peirce's manuscripts. Appendices III and IV
are cross-reference tables. Appendix III is a cross-reference
table from Burks's bibliography to my catalogue entries
and Appendix IV, from McMahan's catalogue to mine.
Anyone who so desires can set out from the Collected
Papers and reach my catalogue entries through the intermediary
of Burks's bibliog-raphy. See Burks's cross-reference
index, pp. 325-330 of Vol. VIII of the Collected Papers.
THE MICROFILM EDITION
Two Peirce projects cataloguing and microfilming were
linked almost from the beginning. The need for a new
catalogue was evident; but so was the need to microfilm
Peirce's manuscripts and correspondence, for the physical
condition of Peirce's papers was a matter of grave
concern. Although the entire collection is now kept
in the Houghton Library, where temperature and air
control give the papers the best chance for survival,
it was feared that even with slightly more handling,
given normal wear and tear, the deterioration of the
papers would be rapid and alarming. With interest in
Peirce mounting and with the expectation that the demand
for consulting his papers would most likely increase
in the years ahead, it was urged that steps be taken
to microfilm them, or at least as much of them as there
were funds for.
The success of the microfilming project depended in
part on achieving a new arrangement of the Peirce Papers,
one which would incorporate the efforts of the past,
but would yield a single numerical sequence. With the
present catalogue, the numbered sequence was achieved.
This permitted the microfilming of Peirce's manuscripts,
with all of its advantages of preserving the original
manuscript collection from the wear and tear of handling,
of providing a record which might serve in place of
any parts of the collection that might from time to
time be lost, stolen, or destroyed, and finally of
making the manuscripts readily available to scholars
in all parts of the world.
There are some discrepancies between what was microfilmed
and my catalogue descriptions. These are few considering
the number of catalogue entries and the principal reason
that there are any at all is that errors were discovered
in the Catalogue before it was printed but only after
the microfilming of the manuscripts was completed.
Apart from a major change or two and some minor ones,
the microfilm was left un-touched, mainly because of
the expense involved in any extensive alteration. An
asterisk placed before the catalogue entry number of
the manuscript indicates that a discrepancy exists
and directs attention to Appendix I "A Supplement
to the Catalogue Descriptions."
A short guide to the use and consultation of the microfilm
edition was prepared by the Harvard University Library
Microreproduction Service in the Fall of 1964. For
the benefit of those who will be working with the film
and for the additional information concerning the manuscripts
themselves, I reproduce the guide here.
This microfilm possesses some apparently anomalous features
with which the reader ought to be acquainted to facilitate
its use. The major part of the film's unusual features
originates in the author's manner of composition.
First it was the author's usual practice to write on
one side only of the paper. Less than 5% of the material
in this microfilm contained writing on the verso of
the page. In the notebooks, Peirce usually wrote only
on the recto pages; accordingly, to spare unnecessary
expense, only those pages of the notebooks actually
bearing text have been filmed. This accounts for the
fact that notebooks appear to have been filmed in irregular
fashion, sometimes as a single spread and sometimes
as a double spread. A similar situation prevails with
the material written on loose sheets. In a few instances,
both with the notebooks and the loose sheets, Peirce
used the opposite sides to make routine calculations,
some related and some unrelated to the main body of
the work. In most instances, these routine calculations
have not been filmed. Where there was doubt about routineness
or where the calculations were other than ordinary
arithmetic, such material was microfilmed. Some of
these data may thus appear to interrupt the normal
sequence of the manuscript.
Another unusual feature concerns pagination. The manuscripts
fol-low four schemes of pagination: (X) unpaged, (2)
either even-numbered or odd-numbered, (3) normal, and
(4) iterated pagination. The re-peated pagination almost
always occurs in the notebooks when Peirce was constructing
a draft If he was dissatisfied with his first draft
of page 1, he would go on to the next page, number
it also "page 1,'' and continue with his revision
until satisfied that he could carry on with page 2,
and so on It is not uncommon for a page number to be
thus repeated for four or five consecutive drafts before
the next sequential number.
Odd-numbered pagination only is common in the notebooks.
Evi-dently this was Peirce's way of indicating his
consciousness that he was using only the rectos, or
perhaps he was saving the versos for cor-rections or
changes. In a few instances, an explanatory target
accom-panies each frame of film and states that no
pages are missing.
Unpaged material has been placed in sequence insofar
as this was ascertainable by the editors, and, of course,
insofar as the actual pages were available.
At the end of a numbered sequence of pages, there will
occasionally be found a miscellany of pages consisting
of broken runs or isolated pages surviving from other
drafts.
Another unusual condition arises from Peirce's practice
of starting some notebooks from the front, and upon
reaching the center, turning the notebook upside down
and beginning anew from the "back." Sometimes
the separate contents of such notebooks may be unrelated
although they occupy the same physical and bibliographic
unit; in other instances, after the notebook was turned
upside down, the same material was continued. This
condition prevails in little used as well as in full
notebooks. Rather than inconvenience the reader of
the film with upside down images or reversed pages
sequences, all such material has been filmed for normal
reading sequence. In each case a notice explaining
this situation is filmed at the beginning, the center,
and the "end" of the item.
Peirce occasionally constructed from paper a physical
device to be removed from a notebook and manipulated.
An example is a dough-nut-like device he constructed
to elucidate a point in topology. In filming devices,
a first exposure has been made with the device in place,
a second with the device removed, and if necessary
for clarity, a third of the device itself.
Printed editorial forms used in connection with the
partial publi-cation of this material by the Harvard
University Press in the Col-lected Papers have remained
with the collection, and it is possible that a few
of these may have been accidentally incorporated into
the micro-film. These are of course not a part of the
collection and should be ignored.
POSTSCRIPT
Generally speaking, a catalogue of a man's writing stands
as an impersonal record of his achievement. Standing
alone it seems to cry out for some kind of personal
statement, a portrait of sorts, which would complement
the impersonal record. Of course it is a matter of
conjecture as to what kind of personal statements or
portrait of himself Peirce would have appreciated.
In the introduction to a catalogue a panegyric seems
somehow out of place. Perhaps it would be best to let
the catalogue speak for itself. The display of prodigious
intellectuality, creative genius, philosophic and scientific
integrity, demonstrated therein, and, for one who knows
something of the frustrations and deprivations of Peirce's
personal and professional life, the sense of tragedy
that pervades the whole seem to me to be intellectually
stimulating and, at times, profoundly moving.
ABBREVIATIONS & CONVENTIONS
A. autograph
CSPCharles Sanders Peirce
Collected PapersCollected Papers of Charles Sanders
Peirce, 8 vols., Harvard University Press, Cambridge,
1931-1958.
JPJuliette Peirce
MS., MSS.manuscript(s)
n.d.no date
n.p.no place, i.e., of publication
n.yr.no year
p, pp.page(s)
PAAASProceedings of the American Academy of Arts and
Sciences
rrecto
Studies in LogicStudies in Logic, By Members of the
Johns Hopkins University (edited by Peirce), Little,
Brown and Company, Boston, 1883.
TS.typescript
vverso
vol., vols.volume(s)
Following the established practice, all references to
the Collected Papers of Charles Sanders Peirce will
be handled in this manner: first the volume number
is given and then, after the decimal point, the paragraph
number in that volume. Thus 4.658 means Volume IV,
paragraph number 658.
All bibliographical references and cross references
are made with respect to Arthur W. Burks's "Bibliography
of the Works of Charles Sanders Peirce," Collected
Papers, Vol. VIII, pp. 260-321, and to Max H. Fisch's
"A First Supplement to Arthur W. Burks's Bibliography
of the Works of Charles Sanders Peirce," Studies
in the Philosophy of Charles Sanders Peirce, Second
Series, edited by Edward C. Moore and Richard S. Robin,
The University of Massachusetts Press, Amherst, 1964
and to his "Second Supplement," Transactions
of the Charles S. Peirce Society II, X (Spring 1966),
pp. 51-53. Burks's bibliography is divided into three
sections: General, Items from The Nation, and Miscellaneous.
The first two sections are arranged primarily in chronological
order; the third section is arranged alphabetically.
Following the method Burks has adopted, references
and cross references to bibliographical items are as
follows: First the section is given, "G"
for the General Section, "N" for The Nation
Section, and "M" for the Miscellaneous Section.
Next come the year and the number of the title under
that year for sections "G" and "N";
only the item number for section "M." Thus
"G-1883-4" refers to the fourth title under
the date 1883 in the General section; "N-1901-3"
refers to the third title under the date 1901 in The
Nation section; and M-5 refers to the fifth item or
name in the Miscellaneous section. Items preceded by
''sup(1)'' refer to Fisch's first supplement to Burks's
bibliography; those preceded by "sup(2)"
refer to Fisch's second supplement.
Part One
MANUSCRIPTS
MATHEMATICS
THE SIMPLEST MATHEMATICS
1. On the Simplest Possible Branch of Mathematics
A. MS., n.p., [c.1903?], pp. 1-9, 13, 17-33.
Brief discussion of paradisaical logic, i.e., system
of logic in which only one value is supposed, provided
another value (or other values) is not positively denied.
The simplest kind of mathematics referred to, however,
is a two-valued system of which Boole's algebra of
logic is regarded as a special case. Inadequacies of
Boolean algebra and some merits of secundal notation.
Rules and examples for common mathematical operations
in CSP's dyadic system.
2. On the Simplest Branch of Mathematics (SM)
A. MS., n.p., [c.1903?], pp. 1-2; 1-5, incomplete, with
an alternative p. 5.
The pure mathematics of existential graphs, alpha and
beta parts, with definitions and permissions of transformation.
See MS. 512 for more of MS. 2.
3. On Dyadics: the Simplest Possible Mathematics (D)
A. MS., n.p., [c.1903?], pp. s-2, incomplete.
Intended as the first of a series of four memoirs, with
plans for further memoirs on the application of mathematical
theory to deductive logic. The doctrine of multitude
and a working definition of "continuity."
See MS. 511.
4. Sketch of Dichotomic Mathematics (DM)
A. MS., n.p., [c.1903?], pp. 1-52 (p. 25 missing), with
11 pp. of variants.
Nominal and real definitions; definition of terms, e.g.,
"postulate," "axiom," "corrollary,"
"theorem," which are employed in mathematical
or geometrical demonstration; canon of demonstration.
Long digression which begins with recognition of seven
schools of philosophy each determined by the emphasis
placed upon one or more of the following concepts:
form, matter, and entelechy. The relationship of these
schools to the realist-nominalist controversy, with
special attention given to the Aristotelian position.
The nature of signs: sign and related notions, especially
form, law, habit and entelechy; sign as having its
being in the power, not act, of determining matter;
sign as entelechy.
5. Dichotomic Mathematics (DM)
A. MS., n.p., [c.1903?], pp. 1-4, 1-3, 2-9, 6-11, 6-8,
10, 16-7, 45-46, with 22 pp. belonging to other drafts.
Similar in content to MS. 4, but without any of the
digressions.
6. [Dyadic Value System]
A. MS., n.p., n.d., 2 pp.
The simplest of value systems serves as the foundation
for mathematics and, indeed, for all reasoning, because
the purpose of reasoning is to establish the truth
or falsity of our beliefs, and the relationship between
truth and falsity is precisely that of a dyadic value
system.
7. On the Foundations of Mathematics (Foundations)
A. MS., n.p., [c.1903?], pp. 1-16, with 3 rejected pages;
17-19 of another draft. Mathematics as dealing essentially
with signs. The MSS. below (Nos. 8-11) are drafts of
this one, and all are concerned with the nature of
signs.
8. On the Foundations of Mathematics (Foundations)
A. MS., n.p., [c.1903?], pp. 1-4, 3-4; 4-8 of another
draft.
9. [Foundations of Mathematics]
A. MS., n.p. [c.1903?], pp. 1-5, with rejected pages.
Vagueness, generality, and singularity.
10. [Foundations of Mathematics]
A. MS., n.p., [c.1903?], pp. 1-2.
11. [Foundations of Mathematics]
A. MS., n.p., [c.1903?], pp. 1-2, incomplete.
12. Notes Preparatory to a Criticism of Bertrand Russell's
Principles of Mathematics (B. Russell)
A. MS., n.p., February 5, 1912, pp. 1-14.
The comments on Russell's work are as follows: ".
. . true in the main" and "throughout, however,
he betrays insufficient reflection on the fundamental
conceptions of the subject," with the "primary
difficulty . . . his not having begun with a thorough
examination of the elements; . . . the ultimate analytic
of thought." The major part of the manuscript
concerns CSP's own analytic of thought (theory of signs).
13. On the Logic of Quantity (L of Q)
A. MS., n.p., [c.1895], pp. 1-13; 7-12, with an alternative
p. 8 of another draft.
The principal questions raised are these: Why mathematics
always deals with a system of quantity, what the different
systems of quantity are and how they are characterized,
and what the logical nature of infinity is. The relationship
of logic and metaphysics to the three categories of
Firstness, Secondness, and Thirdness. Singular, dual,
and plural fasts. Chaldean metaphysics; chaos to determinacy;
the evolutionary process. Postulates of mathematical
logic (pp. 7-12).
14. On Quantity, with special reference to Collectional
and Mathematical Infinity (Quantity)
A. MS., n.p., [c.1895], pp. 1-34.
The nature of mathematics, pure and applied. In general,
mathematics is concerned with the substance of hypotheses,
drawing necessary conclusions from them; pure mathematics
is concerned only with those hypotheses which contain
nothing not relevant to the forms of deduction. The
nature of quan-tity (real, rational, and imaginary).
System of quaternions as an enlargement of the system
of imaginary quantity. Possible grades of multitude.
Spatial and temporal continuity. Common sense notions
of continua, especially with regard to the flow of
time. "Continuum" defined as "a whole
composed of parts, with the parts of the whole comprising
a series, such that, taking any multitude whatever,
a collection of those parts can be discovered the multitude
of which is greater than the given multitude."
Lastly, reasons are given for thinking that continuity
exists beyond the evidence afforded by our natural
beliefs in the continuity of space and time.
15. On Quantity, with special reference to Collectional
and Mathematical Infinity (Quantity)
A. MS., n.p., [c.1895], pp. 1-29, incomplete.
Same questions raised as in MS. 14. "Mathematics"
defined, with extended comments on the divisions of
the sciences.
16. On the Logic of Quantity, and especially of Infinity
(Logic of Quantity)
A. MS, n.p., [c.1895], pp. 1, 5-9, 7-18, 18-20.
Several definitions of "mathematics," including
Aristotle's and CSP's. Mathematical proof and probable
reasoning; the system and scale of quantity; the importance
of quantity for mathematics. But to grasp the nature
of mathematics is to grasp the three elements, which,
with regard to consciousness, are feeling, consciousness
of opposition, and consciousness of the clustering
of ideas into sets. Recognition of the three elements
in the three kinds of signs logicians employ. An analysis
of the syllogism.
17. On the Logic of Quantity (Logic of Quantity)
A. MS., n.p., [c.1895], pp. 1-9; 7-10 of another draft.
This manuscript should be compared with MS. 16, to which
it bears a special similarity. See also MS. 250 where
CSP defines "mathematics" as "the tracing
out of the consequences of an hypothesis." Five
definitions of "mathematics." Benjamin Peirce's
definition found acceptable with modification. "Science"
defined in terms of the activity of scientists, not
in terms of its content or "truths." Probable
inference and certain features of mathematical proof
(pp. 7-10).
18. (Logic of Quantity)
A. MS., n.p., n.d., pp. 3-4.
Defense of a modified version of Benjamin Peirce's definition
of "mathematics." Cf. MS. 78.
19. Logic of Quantity (Logic of Quantity)
A. MS., n.p., n.d., pp. 1-12.
Several theorems demonstrated, e.g., that every relation
included under a preference is itself a preference.
Solution is offered to the following problem: Required
that property which a collection must have to prevent
it from proceeding from any collection of which it
forms a part.
20. Logic of Quantity (Logic of Quantity)
A. MS., n.p., n.d., pp. 1-5; 1-4, 3-5; plus a single-page
table of contents ("Contents") and 3 rejected
pages.
Definitions, corollaries, theorems, and problems. The
theorems and problems differ from those in MS. 19.
21. Memoire sur la Logique de la Quantite. Deuxieme
Partie.
A. MS., n.p., n.d.. pp. 1-16, with 5 rejected pages.
The application of the logic of relations to quantity.
22. Systems of Quantity
A. MS., n.p., n.d., 5 pp.
Definitions of "relation," "relationship,"
"ring-relationship," and "quantity."
Systems of logical, collectional, and total quantity
distinguished.
23. [Logic of Number]
TS., n.p., n.d., pp. 2-7.
A draft of G-1881-7 (for annotated reprint of, see MS.
38). Unlimited and limited discrete simple quantity.
24. The Theory of Multitude (Multitude)
A. MS., n.p., [c.1903], pp. 1-3; 3-4 of another draft.
"Multitude" defined in terms of collection,
followed by a pragmatistic definition of "collection."
25. Multitude and Number (Multitude)
A. MS., G-1897-1, pp. 1-82, with rejected or alternative
pages running brokenly from p. 7 to p. 71.
Most of manuscript was published (4.170-226, except
187n1) but omitted were several illustrations (pp.
21-24; 34) and several proofs of theorems, among which
are the following: That the collection of possible
sets of units which can be taken from discrete collections
is always greater than the collection of units (pp.
12-13), that the sum of an enumerable collection of
enumerable multitudes is an enumerable multitude (pp.
29-32), and that there is a vast collection of indefinitely
divident relations between the units of any denumerable
collection (pp. 40-54).
26. On Multitude (On Multitude)
A. MS., n.p., [c.1897], pp. 1-24, with 24 pp. of rejects
and/or alternatives.
An inquiry into what grades of multitude of collections
are mathematically possible. This is a logical inquiry
because both a strict logica utens and the principles
of logica docens are required. Collection is explained
but not precisely defined. Provided are three axioms
relating to collections and several theorems. The inquiry
concludes with a discussion of the general method of
drawing conclusions by means of the above system.
27. Considerations concerning the Doctrine of Multitude
A. MS., n.p., [c.1905-07?], pp. 1-5; 23, 24, 27, 29,
30.
The nature of definition; "collection" defined;
first- and second-intentional collection.
28. [On Multitudes]
A. MS., n.p., [c.1897?], pp. 23-48.
Abnumeral collection; first, second, and third denumeral
multitude; princi, secundo, and tertio post-numeral
multitude. Continuity and the doctrine of limits.
29. [On Multitudes]
A. MS., n.p., n.d., 10 pp.
Innumerable and inenumerable multitude. Generality and
infinity.
30. Note on the Doctrine of Multitude
A. MS., n.p., [November 1903], pp. 1-6; 1-2.
Doctrine of multitude is developed in terms of dog-names
and boy-names. See CSP - Josiah Royce correspondence,
11/13/03, and the CSP-E. H. Moore correspondence, 12/16/03.
31. On the theory of Collections and Multitude
A. MS., n.p., [c.1905-07?], 2 pp.; plus 1 p. (p. 2)
("Note on Collections").
32. [On Collections]
A. MS., n.p., n.d., pp. 1-2, incomplete.
"Collection" defined; collection and quota
distinguished.
33. [On Collections and Multitudes]
A. MS., n.p., n.d., pp. 4-8.
34. [Collections and the Fermatian Inference]
A. MS., n.p., n.d., 26 pp. of discontinuous fragments
(nn. except for 67).
35. [Fermatian Inference]
A. MS., n.p., n.d., 5 pp.
36. [Fragments on Collections]
A. MS., n.p., n.d., 14 pp.
37. On the Number of Forms of Sets
A. MS., n.p., n.d., pp. 1-3.
Explanation of form and formality in terms of plurality
and diversity of sets. Table of formalities.
38. On the Logic of Number Reprints, G-1881-7.
One of the two reprints is annotated. Undated revisions
in the form of marginal notes.
39. Logic of Number
A. MS., n.p., n.d., 18 pp.
Fundamental premises concerning number.
40. Axioms of Number
A. MS., n.p., [C.1881?], 4 pp.
Fifteen axioms (or assumptions) of arithmetic which
provide a definition of "positive, discrete number"
and from which, CSP thought, every proposition of the
theory of numbers may be deduced by formal logic. Definitions
of "addition" and "multiplication."
41. The Axioms of Number
TS., n.p., n.d., 2 pp.
42. [Cardinal and Ordinal Number]
A. MS., n.p., n.d., 10 pp.
43. [Cardinal Number]
A. MS., n.p., n.d., pp. 36-38.
Mathematical calculations on the versos of these pages.
44. First Definition of Ordinals (Topics)
A. MS., G-c.1905-3 [G-1904-3], pp. 26-49, with 10 pp.
of rejects and/or alternatives.
Published, in part, as 4.331-340. Omitted: an attempt
to define formally a secundal system of enumeration
(pp. 38-39) and a second example (pp. 46-49).
*45, [Second Definition of Ordinals]
A. MS., n.p., [1904], pp. 4-6; 19-22; and 1 p. (the
number of which is missing).
Parenthetically: "As for the whole existing race
of philosophers, say John Dewey, to mention a relatively
superior man whom you see, why they are the sort of
trash who are puzzled by Achilles and the Tortoise!
Think of trying to drive any exact thought through
such skulls! Royce is the only philosopher I know of
real power of thought now living."
46. [Ordinals]
A. MS., n.p., n.d., pp. 6-7.
Second definition of "ordinals," and first
and second ordinal definition of "addition."
Also multitudinal definition of "addition."
47. Proof of the Fundamental Proposition of Arithmetic
A. MS., n.p., [1890?], pp. 1-4.
The proposition to be proved: ". . . that the order
of sequence in which the things of any collection are
counted makes no difference is [in] the result, provided
there can be any order of counting in which the count
can be completed. "
48. Numeration (Num)
A. MS., n.p., n.d., pp. 1-20, with 44 pp., some of which
belong to different drafts but many of which are rejected
pages.
Definitions of "number" and "series."
The distinction between precise and definite; vague
and indefinite. Abstraction, or ens rationis. In what
sense can it be said that entia rationis are real?
These pages were probably intended for an arithmetic.
49. An Illustration of Dynamics (Illustration)
A. MS., n.p., [c.1901-02?], pp. 1-20, with 3 pp. of
variants.
Setting out from two problems of dynamics both of which
require for their solution the method of infinitesimals,
CSP attempts an explanation of the method of infinitesimals,
which requires, in turn, an explanation of collections
and multiplicity. In addition, there is a discussion
of the different modes of being, followed by a discussion
of the distinction between reality and existence (for
the purpose of showing that although nothing unreal
can exist, something may be non-existent without being
unreal).
50. (Attraction)
A. MS., n.p., [c.1901-02?], pp. 1-12, with a rejected
p. 10.
Contents are similar to those of previous manuscript,
but without the discussions of existence and reality
and of collections.
NUMERICAL NOTATION AND ANALYSIS
51. On the Ways of Thinking of Mathematics (W of T)
A. MS., n.p., [c.1901-02?], pp. 1-4, with a rejected
p. 3.
On the decimal and secundal systems of enumeration.
52. Notes on Numerical Notation
A. MS., n.p., [c.1910?], pp. 1-10, plus a rejected p.
2.
The notion of "elegance" in mathematics. The
secundal system.
53. Secundal Computation
A. MS., n.p., [c.1912?], pp. 1-6, with 2 other attempts
to write p. 2.
The notion of "elegance" in mathematics. The
secundal system. Modes of reality.
54. Secundal Computation, Rules
A. MS., n.p., [early 1912], 8 pp., with 3 rejected pages;
plus 1 folded sheet ("rules for addition and subtraction").
Notational explanation and accompanying statement of
the rules for multiplication, division, addition, and
subtraction. The extraction of square roots.
55. Computations for a Table of Secundal Antilogarithms
A. MS., n.p., n.d., pp. 2-4.
56. Calculation of I.V.I. and Secundal Expression
A. MS., n.p., n.d., pp. 1-2; plus a folded sheet ("Calc.
of Table of Secundal Logarithms").
57. Essay on Secundal Augrim (SA)
A. MS., n.p., [c. February 1905?], pp. 1-9.
Dedicated to James Mills Peirce and concerned with the
same material as MS. 54.
58. Secundal Augrim
A. MS., n.p., n.d., 1 p.
Calculation of fundamental antilogs by additive method.
Calculation of (10)01.
59. Secundal Augrim. Calculation of 10-01 by additive
method continued
A. MS., n.p., n.d., 1 p.
60. Secundal Augrim. Sheet 1
A. MS., n.p., n.d., 1 p.
61. Secundal Numerical Notation (Secundals)
A. MS., n.p., n.d., pp. 1-12, with variant pages 7 and
9.
The four distinguishing characteristics of the system
of secundals. CSP's version of the secundal system,
with its several rules and examples of their application.
62. [Notes on Secundal Numeration]
A. MS., n.p., [c.1905?], 1 p., with 64 pp. of secundal
calculations.
63. [Secundal Notation Employed in Finding Factors]
A. MS., n.p., n.d., 11 pp.
64. Notes for my treatise on Arithmetic
A. MS., notebook, n.p., n.d.
Mostly on secundals. Versos contain calculations pertinent
to pendulum experiment, and two of these pages are
dated Paris 1876.
65. The Binary Numerical Notation
A. MS., n.p., n.d., pp. 1-2; 1-2 ("The Binary System
of Numerical Notation").
66. Mathematics as it is to be treated in my Logic treated
as Semiotics
A. MS., n.p., [c.1892-94?], pp. 1-5.
Binary system of notation.
67. Sextal Numeration
A. MS., notebook, n.p., n.d.
Transformation of an integer from decimal or sextal
to secundal expression and back again to the decimal
expression. Synthemes.
68. Note on a Series of Numbers (Series)
A. MS., n.p., [c.1903?], pp. 1-12, with variants (pp.
7, 8-12).
The series investigated is that whose first two dozen
members are 2 S 3 S 3 S 4 S 5 S 5 S 4 S 5 S 7 S 8 S
7 S 7 S 8 S 7 S 5 S 6 S 9 S 11 S 10 S 11 S 13 S 12
S 9 S 9 S
69. Numerical Equations
A. MS., n.p., n.d., 1 folded sheet (2 pp.).
Method of getting all the roots when their moduli are
all different.
70. Analysis of some Demonstrations concerning definite
Positive Integers (N)
A. MS., G-1905-6, pp. 1-20, with 50 pp. of variants
and notes.
See notes for an explanation of existential graphs.
The versos of some pages contain notes for dictionary.
In addition there is a draft of a letter in reply to
an advertisement appearing in the New York Herald.
71. Of the Unordered Combinations of Six Things (6 Things)
A. MS., n.p., [c.1899], pp. 1-8.
The symmetrics of combinations of six things.
72. On the Combinations of Six Things
A. MS., n.p., n.d., 1 p.
73. A Problem of Trees
A. MS., n.p., n.d., 4 pp. (incomplete or unfinished).
The problem for which a solution is offered is to find
how many distinct forms there are for a row of a given
number of letters (separated into two parts by a punctuation
mark, and each part not consisting of a single letter
into two parts by a subordinate punctuation mark,
and so on until all letters are separated).
*74. On the Number of Dichotomous Divisions: a problem
in permutations
A. MS., n.p., n.d., pp. 1-10 (p. 7 missing); plus 17
pp. of another draft.
In the calculus of logic, a proposition is separated
by its copula into two parts. The two parts may again
be separated in a like manner, and so on indefinitely.
One may inquire how many such propositional forms with
a given number of copulas there are. Similar problem
in algebra.
ALGEBRA
75. Notes on Associative Multiple Algebra
A. MS., n.p., n.d., 23 pp.
"The main proposition of this note was presented
to the American Academy of Arts and Sciences, May 11,
1875; and is published in the Proceedings of the Academy
on p. 392." It is clear that this manuscript and
the following two (76 and 77) belong together. See
G-1875-2 and 3.150-151.
76. II. On the Relative Forms of the Algebras
A. MS., n.p., n.d., pp. 1-7.
A draft of G-1881-10 (Addendum 2).
77. III. On the Algebras in which division is unambiguous
A. MS., n.p., n.d., pp. 8-14.
A draft of G-1881-10 (Addendum 3).
78. Notes on B. Peirce's Linear Associative Algebra
(LAA)
A. MS., n.p., n.d., pp. 1-5.
A defense of Benjamin Peirce's definition of "mathematics":
Six possible objections noted and countered. Cf. G-1881-10
and MS. 18.
79. Nilpotent Algebras
A. MS., n.p., n.d., 1 p.
Double and triple algebras.
80. Nilpotent Algebras
A. MS., n.p., n.d., 3 pp.
81. Notes on the Fundamentals of Algebra
A. MS., n.p., n.d., 2 pp.
Copula. Ligations, both simple and branching.
82. On the Application of Logical Analysis to Multiple
Algebra
A. MS., n.p., n.d., pp. 1, 3-4.
See G-1875-2.
83. Index to Jordan's "Substitutions"
A. MS., n.p., n.d., 8 pp.
84. [Algebraical Problems]
A. MS., n.p., n.d., 3 pp.
Drafts of corresponding pages of MS. 165.
85. An Algebraical Excursus
A. MS., n.p., n.d., pp. 1-2.
86. On the Quadratic Equation (QE)
A. MS., n.p., n.d., pp. 1-5.
On the real, equal, or imaginary roots of quadratic
equations.
87. Rough Sketch of Suggested Prolegomena to your [i.e.,
James Mills Peirce's] First Course in Quaternions
A. MS., n.p., [c.1905?], pp. 1-20, 16-19, 17-26, and
20 pp. of variants.
The mathematician's threefold task involves substituting
hypotheses for less definite descriptions of real or
imaginary states of affairs, then developing a point
of view for making those hypotheses as comprehensible
as possible, and finally employing that point of view
for the purpose of solving problems. Mathematical theory
is the discovery of methods of treating a broad class
of problems from one general point of view. Quaternions
as a particular theory of tridimensional space. Analysis
of spatial and temporal relations. Listing Numbers.
88. Quaternions Applied to Probabilities
A. MS., n.p., [1860's, early 1870?] 1 folded sheet (4
pp.).
89. Quaternions Theory of Functions
A. MS., n.p., n.d., 7 pp.
90. [Quaternions]
A. MS., n.p., [c.1876], 2 pp.
Quaternion algebra. Hamilton's and Benjamin Peirce's
forms interpreted geometrically.
CALCULUS OF FINITE DIFFERENCES
91. A Treatise on the Calculus of Differences (Calc.
Diff.)
A. MS., n.p., [1903-04?], pp. 1-25, with twice as many
pages from other drafts.
For "calculus of differences" CSP preferred
"calculus of successions." He planned to
divide treatise into four parts, but the manuscript
only gets into the first part which, treating the subject
generally without regard to the na-ture of known quantities,
is occupied mainly with equations of differences. The
distinction between logical and mathematical functions.
Features of mathematical functionality. Definitions
of "value," "universe of values."
"quantity." Notational rules.
92. Note on the Notation of the Calculus of Finite Differences
(NFD)
A. MS., n.p., [1903-04?], pp. 1-4.
The calculus of finite differences and the differential
calculus compared, especially with respect to the notion
of function.
93. Calculus of Finite Differences
A. MS., n.p., n.d., pp. 1-2, with 2 pp. (of two other
starts); 1 p. ("The Logic of Finite Differences");
3 pp. ("Equations of Finite Differences");
a notebook ("Promiscuous Notes").
The notebook from p. 17 onward is devoted to Boole's
Finite Differences and related topics (Tagalog is the
major subject of the first part of notebook).
BRANCHES AND FOUNDATIONS OF GEOMETRY
94. New Elements of Geometry by Benjamin Peirce, rewritten
by his sons, James Mills Peirce and Charles Sanders
Peirce.
A. MS., n.p., n.d., pp. 1-6, 1-4 ("Preface"),
2 pp. ("Nota Bene"), pp. 1-398, (pp. 7, 31-33,
35, 69-70, 74-76, 78, 92-94, 166-168, 175, 182-183,
235 missing), with pp. xvi, xvii, xviii, xix, and pp.
37-150 from Benjamin Peirce's Plane and Solid Geometry
mounted and ready for revision.
Rewritten are books II-V concerned with the fundamental
properties of space, topology, graphics, metrics.
95. [The Branches of Geometry; Ordinals]
A. MS., notebook, G-1904-3 and sup(1) G-c.1905-3, pp.
1-34.
An address delivered to the National Academy of Sciences.
There is no indication of publication under G-1904-3,
but this is G-c.1905-3 which is a mistake. see sup(1)
G-c.1905-3.
*96. [The Branches of Geometry; Existential Graphs]
A. MS., n.p., [c.1904-05?], 11 pp.
97. [The Branches of Geometry]
A. MS., n.p., n.d., pp. 9-16, with 5 pp. of variants.
98. The Axioms of Geometry
A. MS., n.p., [c.1870-71?], 2 pp., with 3 pp. of other
starts.
99. The Axioms of Geometry. Attempt at enumerating them
A. MS., n.p., [c.1875-76], l p.
100. First Attempt at a Geometry Logically Correct
A. MS., notebook, n.p., September 21, 1874.
101. [Six Fundamental Properties of Space]
A. MS., n.p., n.d., 2 pp.
CSP's intention is to explain imaginaries in a new way,
bringing them into the orbit of synthetic geometry
by means of the principle of continuity.
ANALYTIC GEOMETRY
102. Promptuarium of Analytic Geometry
A. MS., n.p., n.d., 5 pp. and 4 pp. of different drafts.
103. Syllabus of Plane Analytic Geometry
A. MS., n.p., n.d., 5 pp.
104. On Real Curves
A. MS., n.p., n.d., pp. 1-5, with variant p. 4.
105. On Real Curves. First Paper
A. MS., n.p., n.p., n.d., 13 pp.
*106. Four Systems of Coordinates
A. MS., n.p., n.d., 16 pp.
EUCLIDEAN AND NON EUCLIDEAN GEOMETRY
107. Synopsis of Euclid
A. MS., n.p., n.d., 2 pp.
108. [Euclid's Elements; Properties of the Number 2;
the Meaning of "Rational"]
A. MS., n.p., n.d., pp. 1-4.
109. Pythagorean Triangles (Pyth. Tri)
A. MS., n.p., [c.1901?], pp. 1-4.
110. Note on Pythagorean Triangles
A. MS., n.p., n.d., 1 p.
111. Formulae for Plane Triangles
A. MS., n.p., n.d., 1 sheet.
112. Notes on Klein Icosahedron
A. MS., n.p., n.d., 12 PP.
*113. Icosahedron (Icosahedron)
A. MS., n.p., n.d., 16 pp.
114. On Hyperbolic Geometry (Hyp. Geom)
A. MS., n.p., [c.1901?], pp. 1-6, 16-20, with rejected
pages.
Formulae required for the projection of the hyperbolic
plane upon the Euclidean. Definitions of "individual,"
"independence of individuals," and "collection."
Fundamental theorem of multitude. (Cantor's demonstration
of this theorem is thought to be fallacious.)
115. Newton's Enumeration of Cubic Curves
A. MS., n.p., n.d., 7 pp.
Hyperbolic geometry.
116. Brocardian Geometry
A. MS., n.p., n.d., 1 p.
117. The Non-Euclidean Geometry made Easy
A. MS., G-undated-7, pp. 1-8.
Published, in part, as 8.97-99. Unpublished (pp. 3-8).
Denial of either the first or second of the two "natural
propositions," noted in that part of manuscript
which was published, leads to a non-Euclidean geometry.
Both of the corresponding kinds of non-Euclidean geometry
are intelligible, and a consideration of plane geometry
will suffice to show this.
118. Reflections on Non-Euclidean Geometry
A. MS., n.p., n.d., pp. 1-5.
119. Non-Euclidean Geometry
A. MS., n.p., [c.1883 or later], 1 p. and 1 p. ("Notes
on Non-Euclidean Geometry") .
The purpose of this memoir is to find some way of treating
geometry metrically by introducing the absolute synthetically.
The attempt is restricted to plane non-Euclidean geometry:
"Solid non-Euclidean geometry is a trifle too
hard for me."
120. The Elements of Non-Euclidean Geometry. Preface
A. MS., n.p., n.d., 3 pp., plus 3 pp. which may be part
of the same draft.
121. [On Non-Euclidean Geometry]
A. MS., G-undated-6, pp. 2-11; plus 4 pp. of an earlier
draft.
Probably manuscript of an address to the New York Mathematical
Society, November 24, 1894. Published, in part, as
8.93 n2. Was Euclid a non-Euclidean geometer? Probably!
Properties of space. Evidence for thinking there is
an absolute which is a real quadric surface. Newton's
argument that space is an entity and its bearing on
non-Euclidean Geometry. On back of p. 11: "Professor
Fiske" [i.e., Thomas S. Fiske].
122. Non-Euclidean Geometry. Sketch of a Synthetic Treatment
A. MS., n.p., n.d., 32 pp. (several attempts with different
titles).
123. Lobachevski's Geometry
A. MS., n.p., n.d., 3 pp.
124. Formulae
A. MS., notebook, n.p., n.d.
Notes on non-Euclidean geometry, existential graphs,
and Laurent's probabilities. Solution of quadratic
equation. The "formulae" of the title refers
to trigonometrical formulae and formulae of analytic
geometry.
PROJECTIVE GEOMETRY
125. Geometry. Book 1. Projective Geometry
A. MS., n.p., n.d., pp. 1-4.
Definitions: Geometry, Body, Surface, Line, Point.
126. A Geometrico-Logical Discussion
A. MS., n.p., n.d., pp. 1-10, with 28 pp. of other drafts.
Four-ray problem (How many rays cut four given rays?)
as offering best apercus into nature of projective
geometry. The impossibility of exact ideas, even in
mathematics. Idea of a person; idea of a species of
animal. Reality and entia rationis. Brief note on verso
of one of the pages is dated September 16, 1906, and
reads as follows: "11 1/4 P.M. Fell asleep standing
and dreamed something about a tablet in a church In
memory of my mother."
127. [Fragments on Projective Geometry]
A. MS., n.p., n.d., 61 pp.
128. [Mathematical Notion of Projection]
Amanuensis, with corrections in CSP's hand, n.p., n.d.,
pp. 11-12.
METRICAL GEOMETRY
129. Metrical Geometry
A. MS., n.p., n.d., pp. 1-39, with variant pages, and
155 pp. of other drafts.
Drafts for MS. 94 or 165. Foundations of linear and
angular measurement. Signate, imaginary and quaternional
measurement. Concept of a metron. Definitions, theorems,
and demonstrations.
130. Metrical Geometry
A. MS., n.p., n.d., 27 pp.
Drafts for MS. 94 or 165. On the nature of spatial measurement.
131. [Metrical Geometry]
A. MS., n.p., n.d., 12 pp.
Drafts for MS. 94 or 165. On propositions holding true
for all kinds of systems of measurement.
132. Plan of Geometry
A. MS., n.p., n.d., 28 pp.
133. [Metrical Geometry]
A. MS., n.p., n.d., pp. 1, 14-l5, 17-19
Much of the content, however, is projective geometry
which is thought of as requisite for metrics.
134. [Metrical Geometry]
A. MS., n.p., n.d., pp. 27-39, plus 4 pp. of variants.
Drafts for MS. 94 or 165.
135. [Metrical Geometry]
A. MS., n.p., n.d., pp. 56-62, plus a variant p. 58.
Drafts for MS. 94 or 165.
136. [Metrical Geometry]
A. MS., G-undated-12 (Space), 1 p.
TOPICAL GEOMETRY
137. Topical Geometry (Topics)
A. MS., n.p., [1904], pp. 1-29, plus a confusion of
partial drafts with pages running as high as p. 40,
but with no continuous or final draft.
It is not evident that the title page goes with rest
of the manuscript, which was written for Popular Science
Monthly. The branches of geometry and their mutual
relations. The branches of topics. Topics presupposes
time, and time presupposes the doctrine of multitude.
The topical properties of time; the hypothetically
defined time of topics a true continuum; true continuity
opposed to the pseudo-continuity (of the calculus).
Instances of time, with the multitude of instances
defined with the aid of the secundal system of enumeration.
Points as possibilities, not actualized until something
occurs to mark them. The dividing point between green
and white is both green and white. Law of contradiction
does not apply to potentialities. Census Theorem, Census
Number, and Listing Numbers. On general words (signs).
138. Analysis of Time
A. MS., notebook, n.p., begun c.1904-05 with two entries
dated August 13, 1908.
Four given rays may be crossed by how many rays? The
analysis of the Four-ray problem requires a consideration
of continuity which in its primitive, i.e., simple,
sense has the form of time. Time as a determination
of actuality (later see annotation CSP dissents).
Definition of terms, e.g., instant, gradations. "I
will not take up more of this book with the subject
of discrete quantity But I refer to a similar book
labelled 'All Pure Quantity merely ordinal' [MS. 224]
for more about it."
139. On synectics, otherwise called Topology or Topic
A. MS., n.p., n.d., 4 pp., incomplete.
Synectics as the science of spatial connections; pure
synectics as the science of the connection of the parts
of true continua.
140. A Treatise on General Topics (General Topics)
A. MS., n.p., n.d., pp. 1-4, plus 1 p., dated December
26, 1913, on what it means to say that a line is continuous.
141. On Topical Geometry, in General (T)
A. MS., G-undated-12, pp. 1-14, 4-8, 4-7, 5-7, 5, 9,
13.
Published, in part, as 7.524-538, except 534n4 and 535n6.
Omitted from publication is a discussion of the Kainopythagorean
Categories centering in the view that there are but
three and that there can be no element in experience
not included in the three.
142. Notes on Topical Geometry
A. MS., G-undated-16 [c.1899-1900?], 6 pp., plus 2 pp.
each of two other drafts having the same title as above.
Published, in part, as 8.368n23. Omitted from publication
are definitions of "thing" and "collection,"
and a discussion of signs, especially icon, index,
and symbol.
143. Topic (Topic)
A. MS., n.p., n.d., pp. 1-4.
Point-figures and line-figures.
144. On General Topic (Topic)
A. MS., n.p., n.d., pp. 1-3, incomplete.
General and special topic distinguished. Properties
of a continuum.
*145. An Attempt to state systematically the Doctrine
of the Census in Geometrical Topics or Topical Geometry,
more commonly called "Topologie" in German
books; Being A Mathematical-Logical Recreation of C.
S. Peirce following the lead of J. B. Listing's paper
in the "G^ttinger Abhandlungen"
A. MS., n.p., n.d., 12 pp.
146. On Space-Logic
A. MS., n.p., November 13, 1895, pp. 1-2 (with a second
p. 2), incomplete.
Notation. Topical singularity of a line.
147. On Space-Logic
A. MS., n.p., November 14, 1895, 1 p.
Notation only.
148. Topics of Surfaces
A. MS., n.p., n.d., 1 p.
149. Ch. 2. Topical Geometry
A. MS., n.p., n.d., 1 p.
Definitions of "space," "place,"
"point," "particle," "line,"
"filament," "surface," "film,"
"solid," "body."
150. [Topical Geometry]
A. MS., n.p., n.d., 45 pp.
Draft of MS. 94 or 165. Also material on graphics (projective
geometry).
151. Topics. Chapter I. Singular Systems
A. MS., n.p., n.d., 3 pp.
Firstness, or qualities, are positive albeit vague determinations.
Vagueness and generality discriminated.
152. Section 4. Of Topical Geometry
A. MS., n.p., n.d., pp. 6-12; 7-8.
Kinds of multitude: numerable, innumerable, enumerable,
inenumerable.
153. On the Problem of Coloring a Map (4 Colors)
A. MS., n.p., n.d., pp. 1-17, plus variants.
154. On the Problem of Map-Coloring and on Geometrical
Topics, in General (MC, PMC, Map)
A. MS., n.p., [1899-1900], pp. 1-10, plus variants and
many other attempts (82 pp. in all), none going beyond
p. 10.
The problem of map-coloring is stated as follows: "To
determine demonstratively the smallest number of colors
that will suffice so as to color any map whatever which
can be drawn on a given surface, that no two confine
regions (that is, two regions having a common boundary-line)
shall have the same color." See CSP W. E. Story
correspondence, 12/29/00.
155. Studies in map Coloring as Starting-point for Advance
into Geomet-rical Topics
A. MS., notebook, n.p., [c.1897-1900?].
The first part of the notebook, the date of which is
c.1870, deals with physical constants.
156. Map Coloring Vol. IV
A. MS., small notebook, n.p., n.d., plus another notebook
("Map Coloring Vol. V"), n.p., n.d.
Study of the Census Number.
157. [Link Coloring]
A. MS., n.p., [c.1897-1900?], 16 pp.
In how many ways, with c colors, can a simple chain
of 1 links be colored, no two adjacent links being
colored alike? In how may ways, with c + l colors,
can a simple chain of I + l links be colored so that
all adjacent links are colored differently?
158. [Fragments on Map-Coloring]
A. MS., n.p., n.d., 32 pp. and 3 pp.
159. Notes on Listing
A. MS., n.p., [1897?], pp. 1-7.
160. A Study of Listing Numbers (Listing Numbers)
A. MS., n.p., February 3, 1897, pp. 1-5, plus 1 p. which
apparently belongs here.
161. [Listing Numbers; The Census-Number; The Census
Theorem]
A. MS., n.p., n.d., 5 pp.
162. [Fragments on Listing Numbers and the Census-Number]
A. MS., n.p., n.d., 8 pp.
163. [Topology; Real Curves; Astronomy; Archeology;
Assorted Mathematical Notes]
A. MS., notebook, n.p., 1895 (p. 45 is dated July 1895).
MATHEMATICAL TEXTBOOKS
164. New Elements of Mathematics
A. MS., n.p., [c.1895], title page and 2 pp. ("Preface").
An introduction to a book which is designed to give
the educated man all the mathematics he needs to know
and which could serve as preparation for the study
of higher mathematics. Brief account of the recent
history of mathematics, followed by an examination
of the branches of geometry.
165. Elements of Mathematics
A. MS., n.p., [c.1895], pp. 1-357 (pp. 61, 77, 93, 213,
259-273, 276-294 missing), with 23 pp. of a well-detailed
"Table of Contents" and "Subject Index"
and 18 pp. of another draft of Article 2, Scholium
2, of Chapter I.
Chapter I "Introduction" (pp. 1-39): Elementary
account of the nature of mathematics; analysis of the
game of tit-tat-too as an illustration of the process
of deducing the consequences of hypotheses; definitions
and the etymology of important terms. See MS. 1525
for possible early drafts of some of this material.
Chapter II "Sequences" (pp. 40-76, with p.
61 missing): Sequences, both simple and complex. Chapter
III "The Fundamental Operations in Algebra"
(pp. 78-92, with pp. 77 and 93 missing): Fundamental
operations in algebra; explicit and implicit functions;
functions of several variables. Chapter IV "Factors"
(pp. 94-106): Parts, divisors, and factors; prime factors;
greatest common divisor of several numbers; multiples,
dividends, and products; least common multiple; fundamental
theorem of composition. Chapter V "Negative Numbers"
(pp. 107 116): Definition and historical data. Chapter
VI "Fractional Quantities" (pp. 117-130):
Rational number explained; the system of rational numbers
as including the values of all rational fractions except
o/o. Chapter VII "Simple Equations" (pp.
131-173): Solution of linear equations; systems of
simultaneous equations. Chapter VIII "Ratios and
Proportions" (pp. 174-188): Ratios, proportions,
anharmonic ratio. Chapter IX "Surds" (pp.
189-222, with p. 213 missing): Possibility and importance
of surds; definition of "limit"; Achilles
and the tortoise (p. 196); imaginary quantities; exercises
and problems. Chapter X "Topical Geometry"
(pp. 223-275, with pp. 259-273, 276-293 missing): Topical
geometry explained; continuum; homo-geneity; tridimensionality
of space; singularities; topical classes of surfaces;
the topical census. Long footnote on the intelligibility
of infinitesimals. Chapter XI "Perspective"
(pp. 294-357): Graphics; homoloidal system of plates;
dominant (optical) homoloids; projection; Desarques'
Ten-Line theorem; the Nine-Ray theorem.
166. Elements of Mathematics
A. MS., n.p., [c.1895], pp. 44-320, with many gaps and
variant pages.
Another draft of MS. 165.
167. Practical Arithmetic
A. MS., n.p., n.d., pp. 1-29 (pp. 26-27 missing), plus
2 pp.
Maxims for attaining accuracy and speed in handling
numbers. Counting and measuring. The decimal names
of numbers. The arabic notation.
168. Practical Arithmetic
TS. (corrected), n.p., n.d., 21 pp. of two drafts.
169. Factotal Augrim (A) (B)
A. MS., n.p., n.d., pp. 1-18 (A), 5-18 (A), plus variants;
1-4 (B).
Terminology: augrim, arithmetic, vulgar arithmetic,
practical arithmetic, ciphering, and algorithm. Elementary
and composite augrims. On number, including a long
footnote on collections.
170. Rough List of Works Consulted for Arithmetic
A. MS., n.p., [1890-91?], 3 pp.
171. CSP's Small Inventions in Arithmetic and Logic
A. MS., n.p., n.d., 8 pp.
The arrangement of all the rational fractions, not negative,
in the order of their values and without calculation.
172. Examples in Arithmetic
A. MS., n.p., n.d., 8 pp.
173. A System of Arithmetic
A. MS., n.p., n.d., 3 pp.
Rule for addition.
174. Rule for Division
A. MS., n.p., n.d., pp. 1-28 (pp. 2, 13, 15-16, 23-26
missing), plus variants and several unnumbered pages.
175. Exercises in Arithmetic
A. MS., notebook, n.p., n.d.
176. [Elementary Arithmetic]
A. MS., n.p., n.d., 15 pp.
Rule for addition. Counting by threes, fours, fives,
etc.
177. The Practice of Vulgar Arithmetic
A. MS., notebook, n.p., n.d.
Addition, multiplication, squaring a number, solving
algebraic equations, Rule of False.
178. C. S. Peirce's Vulgar Arithmetic: Its Chief Features
A. MS., notebook, n.p., [c.1890].
Draft of a book, outlining its chief features. Shortcuts
in the teaching of arithmetic.
179. Peirce's Primary Arithmetic Upon the Psychological
Method
A. MS., n.p-, [1893], 52 pp.
Teaching numeration. Addition. Multiplication.
180. Plan of the Primary Arithmetic
A. MS., n.p., n.d., pp. 1-3.
The contents of seventeen chapters are noted.
181. Primary Arithmetic
A. MS., n.p., n.d., 31 pp.
Six lessons concerned with counting.
182. Primary Arithmetic. Suggestions to Teachers
A. MS., n.p., n.d., 12 pp.
A teaching manual on counting.
183. Mugling Arithmetic
A. MS., n.p., n.d., pp. 1-2.
184. [On Counting]
A. MS., n.p., n.d., 4 pp.
185. Chapter IV. Addition
A. MS., n.p., n.d., 6 pp.
186. Familiar Letters about the Art of Reasoning
A. MS., n.p., May 15, 1890, pp. 1-22, plus title page
and 2 pp. (unnumbered).
In the form of a letter to Barbara (of the mnemonical
verses). Card-playing as a pedagogical instrument,
useful in teaching the art of reasoning.
187. [Assorted Notes for an Elementary Arithmetic]
A. MS., n.p., n.d., 6 pp. (not all in CSP's hand).
188. [Introduction to Practical Arithmetic]
A. MS., n.p., n.d., 2 pp.
Discussion is somewhat advanced and may not be part
of a primary or vulgar arithmetic.
189. Lydia's Peirce's Primary Arithmetic
A. MS., notebook, n.p., [1904-05], with 65 pp. of drafts.
"Grandmother" Lydia teaches counting, making
use of children's nonsense rhymes like "eeny-meeny-mony-meye,"
but pointing up the numerical limitations of gibberish.
190. [Notes on Square Roots, Long Division, Addition,
Cyclic Numeration]
A. MS., n.p., n.d., 9 pp.
191. [Balance and Scales]
A. MS., n.p., n.d., 13 pp.
Part of a proposed book for children.
192. [On Algebra]
A. MS., n.p., n.d., pp. 2-15.
An elementary discussion possibly for a textbook.
193. Syllabus of the Elements of Trigonometry
A. MS., n.p., n.d., 4 pp., representing three different
starts.
194. [Fragments on Trigonometry]
A. MS., n.p., n.d., over 100 pp.
195. Trigonometry
A. MS., n.p., n.d., pp. 1-2, plus 13 pp.
196. Sketch of a Proposed Treatise on Trigonometry
A. MS., n.p., n.d., 20 pp.
197. Elements of Geometry
A. MS., n.p., n.d., 1 p.
198. [Geometry Exercises]
A. MS., n.p., n.d., 14 pp.
MATHEMATICAL RECREATIONS
199. The Third Curiosity (MM/D)
A. MS., n.p., [1907], pp. 1-76, plus 53 rejected pages.
Numeration with a base other than 10. Sextal and secundal
systems. The rules of arithmetic, e.g., rule of algebraic
summation and the rule of "direct division."
200. The Fourth Curiosity (MM/E)
A. MS., G-1908-1e, pp. 1-186, plus 161 pp. (running
brokenly to p. 186).
Omitted from publication in the Collected Papers: further
discussion of the relationships of the Aristotelian
pattern; definition of "pure mathematics";
numbers as entia rationis; first valid argument for
pragmatism involves the denial of the Absolute. Kind,
class, and collection. Signs and predication.
201. A Contribution to the Amazes of Mathematics (MM)
A. MS., n.p., [c.1908], 210 pp., most of which are numbered
with the numbered pages running as high as p. 164 (many
pages missing, however).
Rationale for two card "tricks" [The First
(?) and Second Curiosities]. Abstract real (not imaginary)
numbers viewed pragmatistically. Cantorian system.
Cyclical system of numbers. The Fourth Curiosity. Secundal
arithmetic. Reference to Elements of Mathematics (MS.
165), with bitter note on publishers of textbooks.
202. Some Amazements of Mathematics (Cu)
A. MS., n.p., [c.1908], pp. 1-53, plus 26 pp. of variants.
This paper begins with an analysis of the peculiarity
of the number 142857. Lengthy discussion of infinitesimals.
Fermat's theorem, Polynomial theorem, Rule of "direct
division." Card "trick" (same as one
of the two card "tricks" of MS. 201).
203. Addition (Add)
A. MS., n.p., May 24, 1908, pp. 1-5.
Alternate draft of 4.642. Does the collective system
of irrational and rational quantity constitute a continuum
or a pseudo-continuum? CSP says "pseudo-continuum"
as against the opinions of both Cantor and Dedekind.
204. Supplement (A)
A. MS., G-1908-1b, pp. 1-17, incomplete, with variants.
The exact date of this manuscript is May 24, 1908. It
was published, in part, as 7.535n6. Unpublished: Whether
mathematicians generally, including Cantor and Dedekind,
are correct in their views as to what constitutes a
true continuum. The three universes of ideas, i.e.,
arbitrary possibilities, physical things, and minds.
Reality and existence; perfect and imperfect continua.
205. Recreations in Reasoning (RR)
A. MS., G-c.1897-4, pp. 1-35, plus 22 pp. probably from
another draft.
Published as 4.153-169, with the proofs of several theorems
omitted.
206. Recreative Exercises in Reasoning (R)
A. MS., n.p., n.d., pp. 1-4.
Solution of the following exercise: "Required to
arrange all the rational fractions (whose denominators
do not exceed a given number and whose numerators do
not exceed a given number of times the denominator)
in the order of their values, in a horizontal row with
< or = interposed between each successive two to
state their relation of value."
207. Recreations in Reasoning (R)
A. MS., n.p., n.d., pp. 1-24, 2-5 with one rejected
page and 14 pp. of variants; plus 11 pp. of notes.
Three distinguishing marks of numerical multitude. The
ordering of fractions and the simplest method for calculating
circulating decimals.
208. Recreations of Reasoning (RR)
A. MS., n.p., [c.1897], pp. 1, 21, 32; and 1 p.
209. Knotty Points in the Doctrine of Chances
A. MS., n.p., [c.1899], pp. 1-16.
Problem in probabilities: mathematics of the roulette
table. CSP concludes whimsically: "That in an
even game, say an honest roulette without zeros, all
the players might make it a rule to leave off only
when they had netted a winning equal to a single bet,
and were their fortunes or backing unlimited, every
man of them would be sure of success, while the bank,
though it would not win anything, would never lose!"
Now "let U.S. lend to each citizen ..." and
then allow the winnings to be taxed.
210. A Corner for Pythagoreans. Mathematical Recreations
No. 1 by Pico di Sablonieri (pseudonym)
A. MS., n.p., [c.1895], pp. 1-11; plus 12 pp. and 5
pp. of other drafts.
A problem in probabilities. Content is similar to that
of the preceding manuscript.
211. A Brief Preliminary and Hasty Syllabus of a book
to be entitled Calculations of Chances
A. MS., n.p., n.d., 38 pp.; plus pp. 8, 11-18.
COMPUTATIONS AND FRAGMENTS
212. A Trade Secret (Trade Secret)
A. MS., n.p., n.d., pp. 1-4, with a variant p. 1.
The computing of values of a function from an infinite
series: a dodge generally known among professional
computers.
213. Notes of a Computer
A. MS., n.p., n.d., pp. 1-3, plus 1 p. ("A Device
of Computation") and 1 p. ("A Computer's
Device").
214. Note on o(inf)
TS., n.p., n.d., 3 pp.
215. Integer Negative Powers of 2
A. MS., n.p., "checked and found correct by CSP
1911, Oct. 8," 2 pp.
216. Practical Comments on Namur's Tables of Logarithms
A. MS., n.p., n.d., 1 p.
217. Calc. of Nat. Log. 10
A. MS., n.p., n.d., 1 sheet.
218. A Short Table of Reciprocals
A. MS., n.p., n.d., 1 sheet.
219. Computation of the excess of 5/10 over 1
A. MS., n.p., n.d., 1 p.
220. Calculation of the fractional part of 5/10
A. MS., n.p., n.d., 2 pp.
221. Hints toward the invention of a Scale-Table
A. MS., n.p., n.d., pp. 1-6; 1-3; and 9 pp. of fragments.
Table of antilogarithms and a logarithmic scale.
222. Dedekind's Dirichlet #23
A. MS., n.p., n.d., pp. 1-3, plus 5 pp. of two other
starts.
The object of this paper is to describe a notation which
reveals clearly the elementary constitution and properties
of the functions connected with the GCD algorithm.
223. Gibb's Papers. Vol. II. p. 30
A. MS., n.p., n.d., 3 pp.
Probably a draft of G-1883-5d.
224. All Pure Quantity merely ordinal
A. MS., notebook, August 16, 1908.
Notes for a memoir whose purpose is "to prove that
every system of signs of abstract quantities signifies
nothing but that one sign denotes an object later in
one or more sequences (or later in one and earlier
in another, etc.) than an object denoted by another."
A study of two systems: (a) additive scheme of rational
values, (b) numerative scheme of positive fractions.
Ens rationis and feeling (monadic experience contrasted
with dyadic experience, or "reaction").
225. Memorandum of How to Do Things
A. MS., notebook, n.p., n.d.
Various formulae of computation. Certain kinds of problems,
e.g., drawing the best algebraic curve of a given order
through any number of points, finding times of moon's
rising and setting, etc., and their solutions.
226. Note to p. 378 of [Benjamin] Peirce's Analytic
Mechanics
A. MS., n.p., n.d., 4 pp.
227. Theorems of Numbers
A. MS., n.p., n.d., 2 pp., incomplete.
228. Notes
A. MS., n.p., n.d., 9 pp.
Distributions of the theorems of mathematics throughout
the various branches of the discipline. In addition,
the notes are concerned with the theory of equations,
equal roots, symmetric functions, different kinds of
ratios.
229. [Logic of Number] (Lefevre)
A. MS., n.p., n.d., pp. 2-7, 16, 18, 20-21.
Definition of "mathematics" as "the science
of hypotheses."
230. [Analytic Geometry]
A. MS., notebook, n.p., n.d.
Includes, in addition to the material on analytic geometry,
a personal expense account, covering several days,
but with no indication of the year.
231. Studies of Laws of Frequency of Occurrence of Numbers
A. MS., n.p., n.d., 1 p.
These studies are based on population figures for 1900.
232. Note on the Mouse Trap Problem
A. MS., n.p., n.d., 1 p.
233. Gauss's Rule for Easter improved
A. MS., n.p., n.d., 1 p.
234. [Arithmetical Calculations]
A. MS., notebook, n.p., n.d.
235. [Fragment on Quantity]
A. MS., n.p., n.d., pp. 15-16.
236. [Fermat's Theorem]
A. MS., n.p., n.d., 4 pp.
Draft of a postscript to an unidentified letter.
237. Formulae for Repeated Differentiations (Repeated
Differentiations)
A. MS., n.p., n.d., pp. 1-2; plus 2 pp. (Dn).
238. An Apology for the Method of Infinitesimals (Apology)
A. MS., n.p., n.d., pp. 1-15.
An attempt at justifying a remark (see Century Dictionary
s.v. limit) that the method of infinitesimals is more
in harmony with advances in mathematics (1883) than
the method of limits.
239. Infinitesimals
Corrected proofs, G-1900-1.
240. A Mathematical Suggestion
A. MS., n.p., n.d., 1 folded sheet (4 pp.).
241. A Mathematical Discussion
A. MS., n.p., n.d., l folded sheet (4 pp.).
242. [Computation of Ordinates for Points on a Probability
Curve]
A. MS., n.p., n.d., 1 p.
243. The Theta Function of Probabilities
A. MS., n.p., n.d., 1 p., with 5 sheets of calculations.
* 244. [A Problem in Probabilities]
A. MS., notebook, n.p., n.d.
Solution of algebraic problems. Venn Diagrams. Calculation
of the asymptotic axis of the larger atomic weights.
245. Illustrative Problem in Probabilities
A. MS., n.p., n.d., 16 pp.
246. Reflections on the Logic of Science
A. MS., n.p., January 1-7, 1889, pp. 2-22
Evidently for a book on the philosophy of physics. The
relationship between mathematics and physical theory.
The Rule of False. MSS. 247-249 are presumably continuations
of this one.
247. Chapter II. The Doctrine of Chances
A. MS., n.p., January 8, 1889, pp. 23-29, plus another
p. 27.
248. Chapter II. Mathematics
A. MS., n.p., January 9-17, 1889, pp. 23-29.
249. Ordinal Geometry
A. MS., n.p., January 18-19, 1889, 40 pp., representing
several starts.
250. Notes for Chapter of Mathematics
A. MS., n.p., November 24-25, 1901, pp. 1-4.
251. Topics of Mathematics
A. MS., n.p., n.d., 1 p.
252. [On Mathematical Reasoning]
A. MS., n.p., n.d., 22 pp.
Mathematical reasoning illustrated by means of the game
tit-tat-too. The advantage, in general, of studying
mathematics.
253. Logical Analysis of Some Demonstrations in High
Arithmetic (D)
A. MS., n.p., June 11, 1905, pp. 1-20, incomplete, with
an alternate p. 20.
Reference is made to a paper published in The American
Journal of Mathematics (G-1881-7). Demonstrations of
Fermat's and Wilson's theorems.
254. Of the Nature of Measurement
A. MS., G-undated-4, pp. 1-26, plus 6 pp. rejected.
Published, in part, as 7.280-312. Omitted are the demonstration
and scholium in connection with the theorem on hyperbolic
motion (pp. 13-17) and the corollary of the definition
occurring on p. 21 and published as 7.312 (pp. 22-26).
255. Of the Nature of Measurement
A. MS., n.p., n.d., pp. 1-8, plus variants.
256. Properties of Space
A. MS., n.p., n.d., 11 pp. (fragmentary).
257. [On the Properties of Space]
A. MS., n.p., n.d., 6 pp. and 5 pp. of another draft.
The three classes of spatial properties: intrinsic,
metrical, and optical.
258. [On the Properties of Mathematical Space]
A. MS., n.p., n.d., 2 pp.
Space is tri-dimensional and unlimited; its points are
continuous; and it has the same properties everywhere,
and in all directions.
259. Note on the Analytic Representation of Space as
a Section of a Higher Dimensional Space
A. MS., n.p., n.d., 1 p.
260. Note on the Utility of considering Space as a Section
of a Space of more than 3 Dimensions
A. MS., n.p., n.d., 4 pp.
261. Notes on Geometry of Plane Curves without Imaginaries
A. MS., n.p., n.d., pp. 1-5, plus 6 pp.
262. On the Real Qualitative Characters of Plane Curves
TS., n.p., n.d., 12 pp. of several drafts.
*263. Singularities of Pairs of Terminals
A. MS., n.p., n.d., 2 pp.
264. On the Real Singularities of Plane Curves
A. MS., n.p., n.d., 9 pp.
265. Topical Singularities
A. M.S., n.p., n.d., 3 pp.
266. [Worksheets on the Nine-Ray Theorem]
A. MS., notebook, n.p., n.d.
267. [Points, Lines, and Surfaces]
A. MS., notebook, n.p., n.d.
268. Euclid Easy. Chapter I. A Talk on Continuity
A. MS., n.p., n.d., pp. 1-4.
An imaginary conversation between Thomas J. Jeffers
and Euclid Easy, preparatory to a full scale discussion
of the logic of continuity.
269. Notes for Theorems
A. MS., notebook, n.p., n.d.
Various topics are listed with reference both to standard
works and other writings. Topology and the four-color
problem.
270. Test-Example of Mathematical Reasoning
A. MS., n.p., n.d., 6 pp.
An inquiry which presupposes points, rays, planes, and
a relation called "containing."
271. Pythagorean
A. MS., n.p., n.d., 1 p.
272. Remarkable points of a triangle
A. MS., n.p., n.d., 2 pp., and 4 pp. ("Triangle").
273. [Homoloids]
A. MS., n.p., n.d., 8 pp.
Discussion of the four-ray problem.
274. The Dodecanes
A. MS., n.p., n.d., 26 pp,
275. On a Geometrical Notation
TS., n.p., n.d., 2 pp., with 2 pp. of TS. (corrected)
on "Notation."
276. Miscellaneous Journal
A. MS., notebook, dated entries for February 9, 11,
14-15, 20, 25, 28, 1910.
Secundal arithmetic. Probability. Petersburg problem.
Justification for asserting a proposition. Analysis
of the predicate "positive." Also a draft
of a letter apparently to Mrs. O. H. P. Belmont.
277. The Prescott Book
A. MS., n.p., begun May 1907 and continued June 8, 1907-September
13, 1910.
On singularities, Petersburg problem, Ten-Point theorem,
continuity, existential graphs. An analysis of signs,
notes on phaneroscopy, and an outline of a paper for
the Hibbert Journal on "a little known 'Argument'
for the Being of God."
*278. [Unidentified Fragments]
A. MS., n.p., n.d., over 1400 pp.
PRAGMATISM
THE BASIS OF PRAGMATICISM
279. The Basis of Pragmaticism. Meditation the First
(Med)
A. MS., n.p., [c.1905], pp. 1-16, with variants.
Types of readers who will not profit from this critical
examination of pragmaticism. The Harvard Lectures of
1903 presented the argument which finally convinced
CSP of the truth of pragmaticism. The argument of 1903
restated. Discussion of the ethics of terminology contains
some amusing satire. The comparative merits of English
and German; English better adapted to logic than German.
A great mistake to attempt to reform English by way
of German expressions out of harmony with it.
280. The Basis of Pragmaticism (Basis)
A. MS., n.p., [c.1905], pp. 1-48, plus fragments.
Of the different senses of "philosophy," preference
is stated for that sense in which it is synonymous
with cenoscopy, i.e., the study of common experience.
The need for a technical nomenclature and terminology
in the idioscopic sciences. The situation in philosophy
is somewhat different. Philosophy needs to admit "into
its language a body of words of vague significations
with which to identify those vague ideas of ordinary
life which it is its business to analyze." Logical
analysis is not always adequate. Examples from the
history of philosophy, especially Kant and Leibniz,
of irresponsibility in logical analysis. Kant's use
of "necessary" and "universal."
Blunders in logical analysis inevitable until proper
method (pragmaticism) is adopted. Specifically, blunders
result from the failure of philosophers to understand
and accept the logic of relations. Elementary discussion
of existential graphs ("quite the luckiest find
that has been gained in exact logic since Boole").
CSP reflects bitterly on treatment received from institutions
and publishers.
281. The Basis of Pragmaticism (Basis)
A. MS., n.p., [c.1905], pp. 1-9, plus pp. 4-6.
On the senses of "philosophy" and on terminology
in general. The danger of taking words from the vernacular,
e.g., "light" in physics. Earlier draft of
MS. 280.
282. The Basis of Pragmaticism (BP)
A. MS., G-c.1905-7, pp. 1-9.
Published as 5.497-501 with insignificant deletions.
283. The Basis of Pragmaticism (Basis)
A. MS., G-1905-1d, pp. 1-162, with pp. 3-6 missing and
with pp. 112-119 discarded (p. 120 continues p. 111),
plus 210 pp. of alternative sections and single page
fragments.
The following parts of this manuscript were published:
p. 31 (section 8), pp 37-45 as 1.573-574; pp. 45-59
as 5.549-554; pp. 135-148 as 5.448n (footnote to Monist
article "Issues of Pragmaticism"). Unpublished
is the argument for the truth of pragmatism based upon
the argument of the Harvard Lectures of 1903 which,
CSP notes, were not published in his lifetime because
of the failure of a "friend" to recommend
them for printing. The meaning of "science."
Heuretic, practical, and retrospective science distinguished.
The meaning of "philosophy." Cenoscopic and
synthetic philosophy. Methods of cenoscopic research.
The idea of growth, as found in Aristotle and as applied
to knowledge generally. The divisions of cenoscopy,
with metaphysics as the third and last division and
normative science as the mid-division. The deplorable
condition of metaphysics: the necessity of logic and
the normative sciences generally as propaedeutic to
it. The hard dualism of normative science, its distinctness
from practical science, and its relationship to psychology.
Action, effort, and surprise: effort and surprise only
experiences from which we can derive concept of action.
Doctrine of Signs. Modes of indeterminacy; indefiniteness
and generality; the quantity and quality of indeterminacy.
The relationship of law and existence.
284. The Basis of Pragmaticism
A. MS., two notebooks, G-c.1905-5, pp. 1-48 (one notebook);
49-91 (second notebook) .
Selections from first notebook published as 1.294-299,
1.313, and 1.313n; selections from second notebook
(pp. 65-69) were published as 1.350-352. Omissions
from publication (First Notebook) include the disassociation
of pragmaticism from some doctrines which have become
associated with it; for example, the denial of the
Absolute, the affirmation of a Finite God, making action
(brute force) the sammum bonum. ". . . I am one
of those who say 'We believe in God, the Father Almighty,
Maker of heaven and earth and of all things visible
and invisible' where the invisible things, I take it,
are Love, Beauty, Truth, the Principle of Contradiction,
Time, etc. Clearly I can have but the vaguest analogical
notion of the Maker of such things, and Pragmaticism,
I am sure, does not require that all my beliefs should
be definite." CSP thinks that Royce in The World
and the Individual comes closer to exhibiting the meaning
of pragmatism than any exposition of it given by a
pragmatist other than himself. Another misrepresentation
of pragmaticism is to assert that pragmatism depreciates
science. The principal question for pragmaticism must
be whether thought has any meaning or purport beyond
the simple apprehension of the thought itself. Also
omitted is a discussion of the four sects of logic:
Leibnizian, Associationist, Aristotelian, and Kantian.
The analogy between the indecomposable elements of
thought and the atoms of the different elements. Logical
terms and valencies. The indecomposable elements of
the phaneron. Propositions and assertions. Omissions
from publication (Second Notebook) include a discussion
of the three modes of mental analysis (dissociation,
precision, and discrimination). Application of these
modes to primanity, secundanity, and tertianity, e.g.,
primanity can be prescinded though it cannot be dissociated
from secundanity, but secundanity cannot be prescinded
but only discriminated from primanity. Finally, the
use of existential graphs to explain logical fallacy.
MONIST ARTICLES 1905-06
285. Analysis of "What Pragmatism is"
A. MS., n.p., [c.1910-11], 1 folded sheet.
An incomplete topical summary of the contents of the
article entitled "What Pragmatism Is," the
first of the three Monist articles of 1905-06. See
G-1905-1a.
286. Analysis of the Issues of Pragmatism
A. MS., n.p., [c.1910-11], 2 folded sheets. An incomplete
topical summary of the contents of the article entitled
"Issues of Pragmatism," the second of the
three Monist articles of 1905-06. See G-1905-1b.
287. Analysis of Prolegomena
A. MS., n.p., [c.1910-11], 2 folded sheets.
An incomplete topical summary of the contents of the
article entitled "Prolegomena to an Apology for
Pragmaticism," the third of the three Monist articles
of 1905-06. See G-1905-1c.
288. Materials for Monist Article: The Consequences
of Pragmaticism. Vols. I and II
A. MS., two notebooks ("Vol. I" and "Vol.
II"), n.p., April 27, 1905 (the first date recorded).
The material collected in both volumes is for the second
article of the 1905-06 Monist series. Volume I: Critical
Common-sensism. Pragmatism is regarded as a more critical
version of a philosophy of common sense. The indubitability
of propositions with indubitability associated with
vagueness. The nature of doubt: the relationship of
doubt to feeling, habit, and belief. The relationship
of Critical Common-sensism and the normative sciences,
and the relationships among the normative sciences.
Volume II: Generality and vagueness. Concept of God
is vague; Being of God is indefinite. Criticism of
Kant: "Kant is nothing but a somewhat confused
pragmatist." Ethical and logical control compared.
Pragmatism connected with real possibility, with pragmatism
rendered intelligible by the assertion of real possibility.
Pragmatism's relationship to the normative sciences.
Existence and reality: Generals are real but nonexistent.
289. Consequences of Pragmaticism (CP)
A. MS., n.p., [c.1905], pp. 1-22, plus rejected pp.
1, 5.
This paper serves as a critical commentary on the Popular
Science article of January 1878 (G-1877-5b). Applications
of the pragmatic maxim to specific questions, e.g.,
are the so-called "Laws of the Universe"
habits of the universe in some objective sense? Question
of God's objectivity. God and Demiurge are distinguished.
Brief consideration of what constitutes reality and
characterizes propositions.
290. Issues of Pragmaticism (CP)
A. MS., G-1905-1b, pp. 1-26, 30-63 (with no break in
text); 12-28, 20-21, 27-28, 45-59; plus 9 single page
variants.
Published, in part, as 5.402n (pp. 33-37). Unpublished
is the mention of an early anticipation of pragmaticism
in a Journal of Speculative Philosophy article of 1868
(G-1868-2). In that article CSP accepts two positions
which underlie pragmaticism: Critical Common-sensism
and Scholastic realism. Critical Common-sensism differs
from the Scottish notions of common sense. Two classes
of indubitable propositions noted. Acritical inferences
and reasoning. Logica docens and logica utens. CSP
finds support of Critical Common-sensism in the writings
of Avicenna. Several applications of pragmaticism to
the meaning of matter and time and to the notion of
action at a distance. Theory of signs, especially symbols.
291. Pragmatism, Prag [4] (P)
A . MS., G-c.1905-8, pp. 2-68.
Omitted from publication (5.502-537): the footnote on
pp. 20-21, which is concerned with the meaning of "to
precide" as "to render precise, that is,
non-vague, non-indefinite." Discussion of the
derivation of the verb.
292. Prolegomena to an Apology for Pragmaticism (pl)
A. MS., [c.1906], pp. 1-54 and pp. 29-54 of a partial
draft, with 28 pp. of variants and 2 pp. ("Index
to Prolegomena").
Less misleading, perhaps, to say that there are two
drafts of pp. 29-54 and that it is not certain which
should be counted as completing pp. 1-28. Pages 45-53
of one of these drafts were published as 1.288-292.
See G-1905-1c. Not published is the first part of the
manuscript which follows the third of the Monist articles
very closely. Theory of signs. Relation among thought,
thinking, and Signs. Application of the type-token
distinction. Diagram of thought, with some conventions
for diagramming. The meaning of a conditional proposition
and the revision of the tychistic hypothesis. The "second"
draft is similar to the first in respect to the conventions
for the diagramming of thought. Restatement of chief
purpose for constructing algebras of logic and existential
graphs. Sketch of a classification of signs.
293. (PAP)
A. MS., n.p., [c.1906], pp. 1-56 (only the transition
from 45-46 seems unnatural) and a sequence 10-18 marked
"Keep for reference" by CSP, with 48 pp.
of variants.
Anthropomorphism. The "operation of the mind"
as an ens rationis. Genuine reasoning distinguished
from reasoning which is not genuine. All necessary
reasoning is diagrammatic: Diagram is an icon of a
set of rationally related objects, a schema which entrains
its consequences. The three modes of non-necessary
reasoning: probable deduction, induction, and abduction.
System of existential graphs: application of existential
graphs to the phaneron; classification of the elements
of the phaneron; valency; the precedence of form over
matter in all natural classifications, with the distinction
between form and matter applied to existential graphs.
Kant's Gesetz der Affinito/oot. What is meant by saying
that identity is a continuous relation. Diagram variously
characterized as token, as general sign, as definite
form of relation, as a sign of an order in plurality,
i.e., of an ordered plurality or multitude (pp. 10-18).
294. Prolegomena to an Apology for Pragmaticism (Pr)
A. MS., n.p., [c.1906], pp. 1-3, incomplete.
Stylistic problems. Should a writer be allowed to use
the first person singular? Strategy for convincing
the reader of the soundness of the writer's position.
295. (pl)
A. MS., n.p., [c.1906], fragments running brokenly from
p. 8 to p. 103, with 3 pp. unnumbered.
Rejected pages for the Monist article of 1906 (G-1905-1c).
Both marking and topics treated indicate close affinity
with MS. 292. Various topics discussed: kinds of signs;
type-token distinction; collections and classes; the
substitution of "seme," "pheme,"
and "delome" for "term," "proposition,"
and "argument," and the reason for making
the substitution; several conventions of the system
of existential graphs.
296. The First Part of an Apology for Pragmaticism (A1)
A. MS., n.p., [c.1907-08 or 18 months after "Prolegomena"],
pp. 1-14; 14-32, with p. 25 missing (but with no break
in the text); pp. 7-16 of another draft; plus 24 pp.
of variants.
This manuscript was intended as the fourth article of
the Monist series of 1905-06, with two more articles
following: The fourth article was to begin the apology,
the fifth to have contained the main argument, and
the sixth to have provided the subsidiary arguments
and illustrations. More specifically, a rhetorical
defence of the principle of pragmatism in the Popular
Science Monthly issues of November 1877 and January
1878; system of existential graphs; the nominalism
of Ockham and J. S. Mill; objective and subjective
generality; Scholastic realism; the three ways in which
an idea can be mentally isolated from another (dissociation,
precision, and discrimination). Among the variant pages
are some interesting biographical data, especially
CSP's reflections on his father's "remarkable
aesthetical discrimination" and his boyhood impressions
of visitors, Emerson included, to the family home in
Mason Street, Cambridge.
297. Apology for Pragmatism (Apol)
A. MS., n.p., [c.1907], pp. 1-7, incomplete.
Draft of G-1905-1g. CSP notes that there are three arguments
favoring pragmatism of which the first "sets out
from the observation that every new concept comes to
the mind in a judgment." Judgment and assertion.
298. Phaneroscopy (f and fau)
A. MS., G-1905-1h, pp. 1-36, plus 20 pp. of variants.
This article, intended for the January 1907 Monist,
was to have followed the Monist article of October
1906. Published as follows: 4.534n1 (pp. 2-3); 4.6-11
(from pp- 5-16); 4.553n1 (pp. 18-19); 1.306-311 (pp.
26-36). Unpublished are CSP's thoughts on the relevance
of existential graphs to the truth of pragmaticism;
his view that existential graphs afford a moving picture
of thought, and his reflections on telepathy, spiritualism,
and clairvoyance. Vividness and intensity of feeling:
CSP's disagreement with Hume.
*299. Phaneroscopy: Or, The Natural History of Concepts
(Phy or Phaneroscopy)
A. MS., G-c.1905-4, pp. 1-37 incomplete, plus 31 pp.
of variants.
Published as follows: 1.332-334 (pp. 12-18); 1.335-336
(pp. 33-37). Unpublished: definition and presuppositions
of science; idioscopy and cenoscopy; mathematics and
cenoscopy; the nature of experience and cognition;
kinds of reasoning from experience; experience and
shock (having an experience requires more than a shock).
300. The Bed-Rock Beneath Pragmaticism (Bed)
A. MS., G-1905-1e, pp. 1-65; 33-40; 38-41; 37-38; 40-43.7;
plus 64 pp. of fragments running brokenly from p. 1
to p. 60.
This was to have been the fourth and ante-penultimate
article of the Monist series. The following pages were
published as indicated: 4.561n (pp. 31-399); 4 553n2
(pp. 37-38 of a rejected section). Omitted from publication
are comments on the circumstances which led to writing
the various articles of the Monist series. In this
connection CSP notes, with some horror, the view attributed
by the New York Times to William James that practical
preference was the basis of pragmatism and considers
what James probably meant to say, noting James's definition
of "pragmati