Multitude

Keyword: Multitude


Dictionary Entry | Posted 11/08/2017
Quote from "Multitude (in mathematics)"

Multitude (in mathematics) [Lat. multitudo]: Ger. Mächtigkeit, Cardinalzahl; Fr. puissance; Ital. moltitudine. That relative character...

Manuscript | Posted 11/01/2015
Peirce, Charles S. (1903). Lecture V [R]. MS [R] 471

Robin Catalogue:
A. MS., notebook, n.p., 1903, 10 pp.
On multitude and collection.

Manuscript | Posted 08/01/2015
Peirce, Charles S. (1903). Lowell Lectures. 1903. Lecture 5. Vol. 1. MS [R] 469

Robin Catalogue:
A. MS., notebook, n.p., 1903, pp. 2-74.
Doctrine of multitudes. Breadth and depth. Reference to Bertrand Russell’s Principles of Mathematics in connection with...

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 07/01/2015
Quote from "Lowell Lectures of 1903. Lecture III. 2nd Draught"

By multitude I mean that quality of a collection by virtue of which it is greater than all those collections than which it is greater.

Manuscript | Posted 07/01/2015
Peirce, Charles S. (1903). Lowell Lectures of 1903. Lecture III. 2nd Draught. MS [R] 463

Robin Catalogue:
A. MS., notebook, n.p., 1903, pp. 11-17 (pp. 1-9 are mathematical notes and have nothing to do with the lecture).
On multitude and collection.

Manuscript | Posted 25/11/2014
Peirce, Charles S. (1903). Lowell Lectures of 1903 by C. S. Peirce. Second draught of Lecture 3. MS [R] 461

Robin Catalogue:
A. MS., notebook, n.p., September 30, 1903, pp. 1-9; plus 2 cards which were found inserted among the unnumbered pages of the notebook.
Multitude; serial order...

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

I shall always use the word multitude to mean the degree of maniness of a collection.

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 25/09/2014
Peirce, Charles S. (1903). Lowell Lectures. 1903. Lecture 3. 1st draught. MS [R] 458

Robin Catalogue:
Science, mathematics, and quantity. Pure mathematics (the science of hypotheses) is divided in accordance with the complexity of its hypotheses. Simplest mathematics...

Manuscript | Posted 19/09/2014
Peirce, Charles S. (1901-02 [c.]). An Illustration of Dynamics. MS [R] 49

Robin Catalogue:
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...

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 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). Fermatian Inference [R]. MS [R] 35

Robin Catalogue:
A. MS., n.p., n.d., 5 pp.

Manuscript | Posted 14/09/2014
Peirce, Charles S. (nd). On Collections and Multitudes [R]. MS [R] 33

Robin Catalogue:
A. MS., n.p., n.d., pp. 4-8.

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 "Multitude and Number"

I shall use the word multitude to denote that character of a collection by virtue of which it is greater than some collections and less than others, provided the...

Dictionary Entry | Posted 09/09/2014
Quote from "The Theory of Multitude"

Multitude is that character of a collection by virtue of which it is more than another collection and less than a third.

Manuscript | Posted 09/09/2014
Peirce, Charles S. (1903 [c.]). The Theory of Multitude. MS [R] 24

Robin Catalogue:
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.”

Pages