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.

Continuity, Multitude, Bernard Bolzano, Collection, Georg Cantor, Possibility, Generality, Indefiniteness, Discrete Object, Definiteness, Irrationals
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...

Cardinal Number, Ordinal Number, Doctrine of Multitude, Collection, Multitude, Ens Rationis, Existence, Proper Name, Sam, Gath, Being, Essence, Breadth, Imputed Firstness, Pure Secondness, Regulative Principle, Quality, Bertrand Russell, Scientific Vocabulary, Relation, Georg Cantor, Achilles and the Tortoise, Cantorian Succession, Bernard Bolzano, Definition, Enumerable Collection, Denumeral Collection, Syllogism of Transposed Quantity, Depth
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...

Mathematics, Richard Dedekind, Logic, Necessary Reasoning, Assertion, Dyadic Mathematics, Existential Graph, Pure Mathematics, Multitude, Ordinal Number, Collection, Bernard Bolzano, Possibility, Quality, Relation
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.

Multitude, Collection, Bernard Bolzano, Truth, Information, Purport, General, Existence
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...

Collection, Quality, Multitude, Maniness, Continuity, Bernard Bolzano
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...

Mathematics, Benjamin Peirce, Science, Natural Classification of Sciences, Mathematical Hypothesis, Applied Mathematics, Pure Mathematics, Boëthius, Philosophy, Quantity, Richard Dedekind, Logic, Mathematical Reasoning, Necessary Reasoning, Existential Graph, Simplest Mathematics, Number, Georg Cantor, Cardinal Number, Ordinal Number, Multitude, Maniness, Posteriority, Ernst Schröder, Bertrand Russell, Alfred North Whitehead, Inclusion of Correlates, Substantive Possibility, Quality, Epistemology, Metaphysics, Psychology, Identity, Relation, Existence, Phenomenology, Phenomenon, Ens Rationis, Essence, Nothing, Nonsense
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...

Mathematics, Science, Philosophy, Benjamin Peirce, Richard Dedekind, Simplest Mathematics, Mathematics of Existential Graphs, False Graph, True Graph, Mathematics of Logic, Three-valued Mathematics, Theory of Numbers, Higher Arithmetic, Multitude, Maniness, Georg Cantor, Bernard Bolzano, Euclid, Infinity, Whole, Collection, Definition, Dyad, Duette, Ordered Pair, Ens Rationis, Nothing, Possible, Identity, Augustus De Morgan, Syllogism of Transposed Quantity, Existence, Experience, Knowledge, Possibility, Idea, Achilles and the Tortoise, Convenient Fiction
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...

Infinitesimal, Reality, Existence, Unreal, Proper Name, Common Name, Fancy, Percept, Multitude, Collection, Definiteness, Latitude of Choice, Individuality, Counting, Perceptual Observation, Ens Rationis, Set, Couple, Dyadic Relation, General, Non-existence, Self-correspondence, Correlative Inclusion, Multiplicity
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.”...

Numeration, Arithmetical Notation, Number, Series, Collection, Multitude, Vagueness, Indefiniteness, Precision, Certainty, Ens Rationis, Real, Information, Experience, Enumerable Series, Simple Denumeral Series, Achilles and the Tortoise, Zeno, Cardinal Numerals, Indeterminacy, Whole, Partian Being, Totan Being, Abstraction
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...

Ordinal Number, Appurtenance, Comparative Fulfillment, Georg Cantor, Multitude, Cardinal Number, Number, Rational Number, Secundal Place, Product
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.

Enumerable Collection, Inenumerable Collection, Denumeral Collection, Continuity, Number, Multitude, First Abnumeral Multitude, Collection
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.

Georg Cantor, Multitude, Fermatian Inference, Syllogism of Transposed Quantity, Innumerable Collection
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.

Collection, Correlate, Relate, 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.

Doctrine of Multitude, Mathematics, Georg Cantor, Bernard Bolzano, Whitehead, Definition, Mathematical Definition, Collection, Dyadic Relation, Triadic Relation, Multitude, Whole, Integral Whole, Member, Identity, Nothing, Thought, Purpose, Counting, Essence, Existence, Second Intention
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.”

Multitude, Collection, Hope, Reality, Possibility, Individuality, Ordinal Number

Pages