Transactions of the Charles S. Peirce Society 43 (3):425 - 469 (2007)
: In the Cambridge Conferences Lectures of 1898 Peirce defines a continuum as a "collection of so vast a multitude" that its elements "become welded into one another." He links the transinfinity (the "vast multitude") of a continuum to the confusion of its elements by a line of mathematical reasoning closely related to Cantor's Theorem. I trace the mathematical and philosophical roots of this conception of continuity, and examine its unresolved tensions, which arise mainly from difficulties in Peirce's theory of collections
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
References found in this work BETA
No references found.
Citations of this work BETA
Similar books and articles
Is Cantor's Continuum Problem Inherently Vague?Kai Hauser - 2002 - Philosophia Mathematica 10 (3):257-285.
Aristotle and Modern Mathematical Theories of the Continuum.Anne Newstead - 2001 - In Demetra Sfendoni-Mentzou & James Brown (eds.), Aristotle and Contemporary Philosophy of Science. Peter Lang.
Peirce's Metaphysics: Evolution, Synechism, and the Mathematical Conception of the Continuum.Gordon Locke - 2000 - Transactions of the Charles S. Peirce Society 36 (1):133 - 147.
Retrieving the Mathematical Mission of the Continuum Concept From the Transfinitely Reductionist Debris of Cantor’s Paradise. Extended Abstract.Edward G. Belaga - forthcoming - International Journal of Pure and Applied Mathematics.
Peirce on Cantor's Paradox and the Continuum.Wayne C. Myrvold - 1995 - Transactions of the Charles S. Peirce Society 31 (3):508 - 541.
Early History of the Generalized Continuum Hypothesis: 1878—1938.Gregory H. Moore - 2011 - Bulletin of Symbolic Logic 17 (4):489-532.
Added to index2009-01-28
Total downloads61 ( #86,349 of 2,171,850 )
Recent downloads (6 months)4 ( #76,304 of 2,171,850 )
How can I increase my downloads?