David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
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)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
Matthew E. Moore (2013). Peirce's Topical Theory of Continuity. Synthese 192 (4):1-17.
Similar books and articles
Wayne C. Myrvold (1995). Peirce on Cantor's Paradox and the Continuum. Transactions of the Charles S. Peirce Society 31 (3):508 - 541.
Edward G. Belaga (forthcoming). Retrieving the Mathematical Mission of the Continuum Concept From the Transfinitely Reductionist Debris of Cantor’s Paradise. Extended Abstract. International Journal of Pure and Applied Mathematics.
Vojtěch Kolman (2010). Continuum, Name and Paradox. Synthese 175 (3):351 - 367.
Masanori Itai (1991). On the Strong Martin Conjecture. Journal of Symbolic Logic 56 (3):862-875.
Gordon Locke (2000). Peirce's Metaphysics: Evolution, Synechism, and the Mathematical Conception of the Continuum. Transactions of the Charles S. Peirce Society 36 (1):133 - 147.
Anne Newstead (2001). Aristotle and Modern Mathematical Theories of the Continuum. In Demetra Sfendoni-Mentzou & James Brown (eds.), Aristotle and Contemporary Philosophy of Science. Peter Lang
Kelly A. Parker (1998). The Continuity of Peirce's Thought. Vanderbilt University Press.
Kai Hauser (2002). Is Cantor's Continuum Problem Inherently Vague? Philosophia Mathematica 10 (3):257-285.
Gregory H. Moore (2011). Early History of the Generalized Continuum Hypothesis: 1878—1938. Bulletin of Symbolic Logic 17 (4):489-532.
Added to index2009-01-28
Total downloads31 ( #88,075 of 1,700,362 )
Recent downloads (6 months)3 ( #206,271 of 1,700,362 )
How can I increase my downloads?