Keyword: Mathematics

Manuscript | Posted 28/08/2014
Peirce, Charles S. (1904). Sketch of Dichotomic Mathematics. MS [R] 4

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...

Dictionary Entry | Posted 28/08/2014
Quote from "On Dyadics: the Simplest Possible Mathematics"

Mathematics will here be understood to be the science which sets up hypotheses with a view to doing what it proceeds to do, namely, to deduce their consequences, and to...

Manuscript | Posted 28/08/2014
Peirce, Charles S. (1903 [c.]). On Dyadics: the Simplest Possible Mathematics. MS [R] 3

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....

Manuscript | Posted 14/08/2014
Peirce, Charles S. (1903 [c.]). On the Simplest Possible Branch of Mathematics. MS [R] 1

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...

Monograph | Posted 29/07/2014
Eisele, Carolyn (1979). Studies in the Scientific and Mathematical Philosophy of Charles S. Peirce
Article in Journal | Posted 29/07/2014
Peirce, Charles S. (1881). On the Logic of Number
Monograph | Posted 29/07/2014
Shields, Paul (2012). Charles S. Peirce on the Logic of Number

In 1881 the American philosopher Charles S. Peirce published a remarkable paper in The American Journal of Mathematics called “On the Logic of Number.” Peirce’s paper marked a watershed in...

Link | Posted 23/07/2014
Docent Press

Docent Press publishes original books focused on the history of mathematics and computing. The catalogue includes several titles on Peirce.

Dictionary Entry | Posted 24/06/2014
Quote from "Elements of Mathematics"

… the mathematicians duty has three parts, namely,

1st, acting upon some suggestion, generally a practical one, he has to frame a supposition of an ideal state of things;

2nd, he has...

Monograph | Posted 30/04/2014
Walsh, Alison (2012). Relations between Logic and Mathematics in the Work of Benjamin and Charles S. Peirce

The book begins with a discussion of Benjamin Peirce’s linear associative algebra and then considers this and other early influences on the logic of is son, C. S. Peirce. A discussion of the early...

Monograph | Posted 30/04/2014
Buckley, Benjamin L. (2012). The Continuity Debate: Dedekind, Cantor, du Bois-Reymond, and Peirce on Continuity and Infinitesimals

The topic of this book is the historical struggle to define and defend a realnumber continuum which could do the work limit theory required of it. These definitions drew heavily on philosophical...

Manuscript | Posted 05/05/2013
Peirce, Charles S. (1893-1895 [c.]). Division III. Substantial Study of Logic. Chapter VI. The Essence of Reasoning. MS [R] 409

From the Robin Catalogue:
A. MS., G-1893-5, pp. 85-141 (pp. sog, 130 missing), with 8 pp. of variants.
Published, in part, as 4.53-56 (but not all of 56) and 4.61-79 (...

Dictionary Entry | Posted 07/04/2013
Quote from "Minute Logic: Chapter II. Prelogical Notions. Section I. Classification of the Sciences (Logic II)"

Among the theoretical sciences, I distinguish three classes, all resting upon observation, but being observational in very different senses.

The first is mathematics...

Dictionary Entry | Posted 07/04/2013
Quote from "Minute Logic: Chapter III. The Simplest Mathematics"

It was Benjamin Peirce, whose son I boast myself, that in 1870 first defined mathematics as “the science which draws necessary conclusions.” This was a hard saying...

Dictionary Entry | Posted 07/04/2013
Quote from "The Regenerated Logic"

Mathematics is the most abstract of all the sciences. For it makes no external observations, nor asserts anything as a real fact. When the mathematician deals with facts, they become for him mere...

Dictionary Entry | Posted 05/02/2013
Quote from "A Syllabus of Certain Topics of Logic"

Science of Discovery is either, I. Mathematics; II. Philosophy; or III. Idioscopy.

Mathematics studies what is and what is not logically possible, without making...

Dictionary Entry | Posted 04/02/2013
Quote from "On Quantity, with special reference to Collectional and Mathematical Infinity"

Each science (except mathematics) rests upon fundamental principles drawn from the truths discovered by the science immediately preceding it in the list, while borrowing data and suggestions from...

Manuscript | Posted 04/02/2013
Peirce, Charles S. (1895 [c.]). On Quantity, with special reference to Collectional and Mathematical Infinity. MS [R] 15

From the Robin Catalogue:
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...

Manuscript | Posted 03/02/2013
Peirce, Charles S. (1908 [c.]). A Neglected Argument for the Reality of God (G). MS [R] 842

From the Robin Catalogue:
A. MS., G-c.1905-1, pp. 1-134 (p. 27 and pp. 109-120 missing), with 40 pp. Of variants and 1 p. (“Contents of G”).
Published, in part, as 2.755-772,...

Manuscript | Posted 04/01/2013
Peirce, Charles S. (1903). Syllabus: Syllabus of a course of Lectures at the Lowell Institute beginning 1903, Nov. 23. On Some Topics of Logic. MS [R] 478

From the Robin Catalogue:
A. MS., G-1903-2b and G-1903-2d, pp. 1-168 (pp. 106-136 missing); a second title page; pp. 2-23 of a revised section; 69 pp. of variants; and a...