Pure Mathematics

Keyword: Pure Mathematics


Dictionary Entry | Posted 19/05/2015
Quote from "L [R]"

… pure Mathematics […] is simply the science of the necessary and definite results that would flow from the truth of propositions, as to whose actual truth the group of...

Dictionary Entry | Posted 08/01/2015
Quote from "Lecture 5,. Vol. 2"

Pure mathematics differs from mathematics in general in not admitting into its hypotheses any element that does affect their logical possibility or impossibility...

Manuscript | Posted 08/01/2015
Peirce, Charles S. (1903). Lecture 5,. Vol. 2. MS [R] 470

Robin Catalogue:
A. MS., notebook, n.p., 1903, pp. 76-158.
At the beginning CSP offers the following plan for his lecture series: “1. What makes a reasoning sound, 2....

Dictionary Entry | Posted 07/01/2015
Quote from "Useful for 3rd or 4th?"

I […] define Pure Mathematics as that Mathematics which leaves its assumptions entirely indeterminate in respects which have no bearing upon the manner in which...

Manuscript | Posted 07/01/2015
Peirce, Charles S. (1903). Useful for 3rd or 4th?. MS [R] 466

Robin Catalogue:
A. MS., notebook, n.p., 1903, pp. 1-28, unfinished, with two p. 19’s, both of which leave text intact.
Mathematics and logic; existential graphs introduced...

Dictionary Entry | Posted 28/09/2014
Quote from "Lowell Lectures. 1903. Lecture 3"

I would define Pure Mathematics as the science of pure hypotheses perfectly definite in all respects which can create or destroy forms of necessary consequences from them...

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...

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

…the distinguishing characteristic of mathematics is that it is the scientific study of hypotheses which it first frames and then traces to their consequences. Mathematics is either applied...

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

There is pure mathematics and applied mathematics. Pure mathematicians should strenuously object to a definition which should limit their hypotheses to...

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...

Dictionary Entry | Posted 29/08/2014
Quote from "Truth and Falsity and Error"

Projective geometry is not pure mathematics, unless it be recognized that whatever is said of rays holds good of every family of curves of which there is one and one only through any two points,...

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 study the methods of doing...

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 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...