Mathematics

Keyword: Mathematics


Manuscript | Posted 21/09/2014
Peirce, Charles S. (nd). Notes on B. Peirce's Linear Associative Algebra. MS [R] 78

Robin Catalogue:
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...

Manuscript | Posted 21/09/2014
Peirce, Charles S. (1912 [c.]). Secundal Computation. MS [R] 53

Robin Catalogue:
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.

Manuscript | Posted 21/09/2014
Peirce, Charles S. (1910 [c.]). Notes on Numerical Notation. MS [R] 52

Robin Catalogue:
A. MS., n.p., [c.1910?], pp. 1-10, plus a rejected p. 2.
The notion of “elegance” in mathematics. The secundal system.

Manuscript | Posted 15/09/2014
Peirce, Charles S. (1904). Second Definition of Ordinals [R]. MS [R] 45

Robin Catalogue:
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...

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 10/09/2014
Peirce, Charles S. (1905-07 [c.]). Considerations concerning the Doctrine of Multitude. MS [R] 27

Robin Catalogue:
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.

Dictionary Entry | Posted 09/09/2014
Quote from "On Multitude"

Mathematics is a study of exact hypotheses, in so far as consequences can be deduced from them. To limit mathematics to the deduction of those consequences would be...

Manuscript | Posted 09/09/2014
Peirce, Charles S. (1897 [c.]). On Multitude. MS [R] 26
Manuscript | Posted 08/09/2014
Peirce, Charles S. (1895 [c.]). Logic of Quantity. MS [R] 18

Robin Catalogue:
A. MS., n.p., n.d., pp. 3-4.
Defense of a modified version of Benjamin Peirce’s definition of “mathematics.” Cf. MS. 78.

Manuscript | Posted 08/09/2014
Peirce, Charles S. (1895 [c.]). On the Logic of Quantity. MS [R] 17

Robin Catalogue:
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...

Dictionary Entry | Posted 08/09/2014
Quote from "On the Logic of Quantity, and especially of Infinity"

Mathematics may be defined as the study of the substance of exact hypotheses. It comprehends
1st, the framing of hypotheses, and
2nd, the deduction of...

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...

Dictionary Entry | Posted 04/09/2014
Quote from "On Quantity, with special reference to Collectional and Mathematical Infinity"

…the mathematician is not concerned with real truth, but only studies the substance of hypotheses. [—] …the mathematician observes nothing but the diagrams he himself constructs; and no occult...

Dictionary Entry | Posted 04/09/2014
Quote from "On Quantity, with special reference to Collectional and Mathematical Infinity"

Mathematics is the study of the substance of hypotheses with a view to the tracing of necessary conclusions from them.

Dictionary Entry | Posted 01/09/2014
Quote from "On Quantity, with special reference to Collectional and Mathematical Infinity"

the proper definition of mathematics is that it is the study of the substances of hypotheses, which it first frames and then traces to their consequences.

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...

Manuscript | Posted 01/09/2014
Peirce, Charles S. (1896). On the Logic of Quantity. MS [R] 13

Robin Catalogue:
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...

Dictionary Entry | Posted 01/09/2014
Quote from "Lessons of the History of Science"

The most abstract of all the sciences is mathematics. That this is so, has been made manifest in our day; because all mathematicians now see clearly that mathematics is...

Anthology Volume | Posted 31/08/2014
Peirce, Charles S. (2010). Philosophy of Mathematics: Selected Writings
Manuscript | Posted 31/08/2014
Peirce, Charles S. (1904). On the Foundations of Mathematics. MS [R] 7

Robin Catalogue:
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...

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