Continuum
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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;...
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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.
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Manuscript | Posted 26/03/2016 Peirce, Charles S. (1905). Valency. MS [R] 1041 Robin Catalogue: |
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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...
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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...
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News | Posted 07/11/2015 Symposium on Peirce's Mathematics Symposium in Bogotá |
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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... |
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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... |
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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... |
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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... |
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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... |
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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... |
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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... |
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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... |
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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... |
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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... |
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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... |
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Dictionary Entry | Posted 30/03/2015 Quote from "Fallibilism, Continuity, and Evolution [R]" …a continuum is merely a discontinuous series with additional possibilities. |
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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... |
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Manuscript | Posted 11/09/2014 Peirce, Charles S. (1897 [c.]). On Multitudes [R]. MS [R] 28 Robin Catalogue: Denumerable Collection, Fermatian Inference, Georg Cantor, First Abnumeral Multitude, Second Abnumeral Multitude, Mathematics, Third Abnumeral Multitude, Supermultitudinous Collection, Continuity, Order of Magnitude, Arithm, Infinity, Number, Limit, Assignable Quantity, Primipostnumeral Collection, Simon Newcomb, Euclid, Primipostnumeral Multitude, Secundipostnumeral Multitude, Tertiopostnumeral Multitude, Continuum, Pedagogy, Line
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