Number

Keyword: Number


Manuscript | Posted 08/07/2015
Peirce, Charles S. (1903). Lecture VII [R]. MS [R] 474

Robin Catalogue:
A. MS., notebook, n.p., 1903, pp. 96-152.
Volume II of the Seventh Lecture. Law, uniformity, and variety. Critical comments on Mill’s views on the uniformity of...

Manuscript | Posted 28/09/2014
Peirce, Charles S. (1903). Lowell Lectures. 1903. Lecture 3. MS [R] 459

Robin Catalogue:
A. MS., notebook, n.p., 1903, pp. 1-41.
The words “Won’t do” (by CSP) appear on the cover of the notebook. Definition of “mathematics.” Denial that mathematics...

Manuscript | Posted 21/09/2014
Peirce, Charles S. (1912). Secundal Computation, Rules. MS [R] 54

Robin Catalogue:
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...

Manuscript | Posted 17/09/2014
Peirce, Charles S. (1906 [c.]). Numeration. MS [R] 48

Robin Catalogue:
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.”...

Manuscript | Posted 15/09/2014
Peirce, Charles S. (1905 [c.]). First Definition of Ordinals. MS [R] 44

Robin Catalogue:
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...

Manuscript | Posted 15/09/2014
Peirce, Charles S. (nd). Cardinal and Ordinal Number [R]. MS [R] 42

Robin Catalogue:
A. MS., n.p., n.d., 10 pp.

Manuscript | Posted 15/09/2014
Peirce, Charles S. (nd). The Axioms of Number. MS [R] 41

Robin Catalogue:
TS., n.p., n.d., 2 pp.

Manuscript | Posted 15/09/2014
Peirce, Charles S. (1881 [c.]). Axioms of Number. MS [R] 40

Robin Catalogue:
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...

Manuscript | Posted 15/09/2014
Peirce, Charles S. (nd). Logic of Number. MS [R] 39

Robin Catalogue:
A. MS., n.p., n.d., 18 pp.
Fundamental premises concerning number.

Manuscript | Posted 14/09/2014
Peirce, Charles S. (nd). Fragments on Collections [R]. MS [R] 36

Robin Catalogue:
A. MS., n.p., n.d., 14 pp.

Manuscript | Posted 14/09/2014
Peirce, Charles S. (nd). Collections and the Fermatian Inference [R]. MS [R] 34

Robin Catalogue:
A. MS., n.p., n.d., 26 pp. of discontinuous fragments (nn. except for 67).

Manuscript | Posted 11/09/2014
Peirce, Charles S. (nd). On Multitudes [R]. MS [R] 29

Robin Catalogue:
A. MS., n.p., n.d., 10 pp.
Innumerable and inenumerable multitude. Generality and infinity.

Manuscript | Posted 11/09/2014
Peirce, Charles S. (1897 [c.]). On Multitudes [R]. MS [R] 28

Robin Catalogue:
A. MS., n.p., [c.1897?], pp. 23-48.
Abnumeral collection; first, second, and third denumeral multitude; princi, secundo, and tertio post-numeral multitude....

Manuscript | Posted 09/09/2014
Peirce, Charles S. (nd). Logic of Number [R]. MS [R] 23

Robin Catalogue:
A draft of G-1881-7 (for annotated reprint of, see MS. 38). Unlimited and limited discrete simple quantity.

Manuscript | Posted 08/09/2014
Peirce, Charles S. (1895 [c.]). On the Logic of Quantity, and especially of Infinity. MS [R] 16

Robin Catalogue:
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...

Manuscript | Posted 01/09/2014
Peirce, Charles S. (1895 [c.]). On Quantity, with special reference to Collectional and Mathematical Infinity. MS [R] 14

Robin Catalogue:
The nature of mathematics, pure and applied. In general, mathematics is concerned with the substance of hypotheses, drawing necessary conclusions from them; pure...

Article in Journal | Posted 29/07/2014
Peirce, Charles S. (1881). On the Logic of Number
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 25/11/2012
Peirce, Charles S. (1897). Multitude and Number. MS [R] 25

From the Robin Catalogue:
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-...