David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
Analysis 65 (285):45–49 (2005)
This paper continues a thread in Analysis begun by Adam Rieger and Nicholas Denyer. Rieger argued that Frege’s theory of thoughts violates Cantor’s theorem by postulating as many thoughts as concepts. Denyer countered that Rieger’s construction could not show that the thoughts generated are always distinct for distinct concepts. By focusing on universally quantified thoughts, rather than thoughts that attribute a concept to an individual, I give a different construction that avoids Denyer’s problem. I also note that this problem for Frege’s philosophy was discovered by Bertrand Russell as early as 1902 and has been discussed intermittently since.
|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
Gottlob Frege (1991). Posthumous Writings. Wiley-Blackwell.
Bertrand Russell (1903). Principles of Mathematics. Cambridge University Press.
Gottlob Frege, Gottfried Gabriel, Brian Mcguinness & Hans Kaal (1982). Philosophical and Mathematical Correspondence. Revue Philosophique de la France Et de l'Etranger 172 (1):64-64.
Kevin C. Klement (2001). Russell's Paradox in Appendix B of the Principles of Mathematics : Was Frege's Response Adequate? History and Philosophy of Logic 22 (1):13-28.
Citations of this work BETA
Kevin C. Klement (2010). Russell, His Paradoxes, and Cantor's Theorem: Part I. Philosophy Compass 5 (1):16-28.
Similar books and articles
Nicholas Unwin (1999). Quasi-Realism, Negation and the Frege-Geach Problem. Philosophical Quarterly 50 (196):337-352.
Kevin C. Klement (2009). A Cantorian Argument Against Frege's and Early Russell's Theories of Descriptions. In Nicholas Griffin & Dale Jacquette (eds.), Russell Vs. Meinong: The Legacy of. Routledge
Pieranna Garavaso (1991). Frege and the Analysis of Thoughts. History and Philosophy of Logic 12 (2):195-210.
Mark Textor (2009). A Repair of Frege's Theory of Thoughts. Synthese 167 (1):105 - 123.
Gregory Currie (1983). I. Interpreting Frege: A Reply to Michael Dummett. Inquiry 26 (3):345 – 359.
Richard Heck & Robert May (2011). The Composition of Thoughts. Noûs 45 (1):126-166.
Erich H. Reck (2005). Frege on Numbers: Beyond the Platonist Picture. The Harvard Review of Philosophy 13 (2):25-40.
Kevin C. Klement (2005). Does Frege Have Too Many Thoughts? A Cantorian Problem Revisited. Analysis 65 (1):44-49.
Added to index2009-01-28
Total downloads97 ( #41,331 of 1,796,259 )
Recent downloads (6 months)23 ( #32,371 of 1,796,259 )
How can I increase my downloads?