Keyword: Continuum

Article in Journal | Posted 02/10/2017
Myrvold, Wayne C. (1995). Peirce on Cantor's Paradox and the Continuum
Traces the development of Charles Sanders Peirce's ideas on set theory, a particular area of mathematics. Role of Peirce's conception in set theory in his conception of the continuum;...
Article in Journal | Posted 13/03/2017
Johanson, Arnold (2001). Modern Topology and Peirce's Theory of the Continuum
Explores philosopher Charles Sanders Peirce's concept of a continuum. Review of the basic ideas of general topology; Definition of the Aristotelian continuum; Ideals of mathematics.
Manuscript | Posted 26/03/2016
Peirce, Charles S. (1905). Valency. MS [R] 1041

Robin Catalogue:
A. MS., n.p., [1905], pp. 1-26, with 6 pp. of variants.
CSP sets out to discuss “the mode of composition of ideas,” developing an analogy between simple ideas...

Article in Journal | Posted 13/02/2016
Hull, Kathleen (2005). The Inner Chambers of his Mind: Peirce's "Neglected Argument" for God as Related to Mathematical Experience
The article explores the extent to which mathematician Charles Peirce's essay "A Neglected Argument for the Reality of God" might be a kind of mathematical argument and its...
Article in Journal | Posted 29/12/2015
Moore, Matthew E. (2007). The Genesis of the Peircean Continuum
The author examines philosopher Charles Sanders Peirce's Cambridge Conferences (CC) theory of the continuum. According to the author, theory integrates Peirce's philosophy and his...
News | Posted 07/11/2015
Symposium on Peirce's Mathematics

Symposium in Bogotá

Dictionary Entry | Posted 30/03/2015
Quote from "Cambridge Lectures on Reasoning and the Logic of Things: Detached Ideas continued and the Dispute between Nominalists and Realists"

…although all my conclusions about abnumerals were brought to ruin, what I now say about continuity would stand firm. Namely, a continuum is a collection of so vast a...

Dictionary Entry | Posted 30/03/2015
Quote from "A Sketch of Logical Critic"

Personally, I agree entirely with James, against Dedekind’s view; and hold that there would be no actually existent points in an existent continuum, and that if a point were placed in a continuum...

Dictionary Entry | Posted 30/03/2015
Quote from "Synechism"

A true continuum is something whose possibilities of determination no multitude of individuals can exhaust. Thus, no collection of points placed upon a truly...

Dictionary Entry | Posted 30/03/2015
Quote from "Peirce's Personal Interleaved Copy of the 'Century Dictionary' [Commens]"

…I made a new definition, according to which continuity consists in Kanticity and Aristotelicity. The Kanticity is having a point between any two points. The Aristotelicity is...

Dictionary Entry | Posted 30/03/2015
Quote from "The Law of Mind"

We now come to the difficult question, What is continuity? Kant confounds it with infinite divisibility, saying that the essential character of a continuous series is that between any two members...

Dictionary Entry | Posted 30/03/2015
Quote from "Grounds of Validity of the Laws of Logic: Further Consequences of Four Incapacities"

All the arguments of Zeno depend on supposing that a continuum has ultimate parts. But a continuum is precisely that, every part of which has parts, in...

Dictionary Entry | Posted 30/03/2015
Quote from "Grand Logic 1893. Chapter XVII. The Logic of Quantity"

Let us now consider what is meant by saying that a line, for example, is continuous. The multitude of points, or limiting values of approximations upon it, is of course innumerable. But that does...

Dictionary Entry | Posted 30/03/2015
Quote from "Relatives"

A collection, or system, is an abstraction or abstract ens; and thus the whole doctrine of number is founded on the operation of abstraction. If...

Dictionary Entry | Posted 30/03/2015
Quote from "Infinitesimals"

Although Kant confuses continuity with infinite divisibility, yet it is noticeable that he always defines a continuum as that of which every part (not every echter Theil) has itself parts...

Dictionary Entry | Posted 30/03/2015
Quote from "The Logic Notebook"

A continuum is a system of relations determined by a general rule, which by virtue of its perfect generality does not suppose any ultimate units (indeed such a unit would...

Dictionary Entry | Posted 30/03/2015
Quote from "Logic of Mathematics: An attempt to develop my categories from within"

…time is a continuum. For since the instants, or possible events, are as many as any collection whatever, and there is no maximum collection, it follows that they are more than any collections...

Dictionary Entry | Posted 30/03/2015
Quote from "[Fallibilism, Continuity, and Evolution]"

a continuum is merely a discontinuous series with additional possibilities.

Monograph | Posted 03/11/2014
Parker, Kelly A. (1998). The Continuity of Peirce's Thought

A comprehensive and systematic reconstruction of the philosophy of Charles S. Peirce, perhaps America's most far-ranging and original philosopher, which reveals the unity of his complex and...

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....