David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
Philosophia Mathematica 9 (2):129-153 (2001)
In this paper an attempt is made to present Skolem's argument, for the relativity of some set-theoretical notions as a sensible one. Skolem's critique of set theory is seen as part of a larger argument to the effect that no conclusive evidence has been given for the existence of uncountable sets. Some replies to Skolem are discussed and are shown not to affect Skolem's position, since they all presuppose the existence of uncountable sets. The paper ends with an assessment of the assumptions on which Skolem's argument rests from a present-day perspective.
|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
No citations found.
Similar books and articles
Timothy Bays (2006). The Mathematics of Skolem's Paradox. In Dale Jacquette (ed.), Philosophy of Logic. North Holland 615--648.
Timothy Bays (2009). Skolem's Paradox. In Edward N. Zalta (ed.), Stanford Encyclopedia of Philosophy.
Johannes Heidema (1990). An Axiom Schema of Comprehension of Zermelo–Fraenkel–Skolem Set Theory. History and Philosophy of Logic 11 (1):59-65.
H. Hrachovec (2005). Ontological Relativity Considered: Quine on Löwenheim-Skolem, Davidson on Quine. Teorema: International Journal of Philosophy 24 (2).
Alexander George (1985). Skolem and the Löwenheim-Skolem Theorem: A Case Study of the Philosophical Significance of Mathematical Results. History and Philosophy of Logic 6 (1):75-89.
Jan Von Plato (2007). In the Shadows of the Löwenheim-Skolem Theorem: Early Combinatorial Analyses of Mathematical Proofs. Bulletin of Symbolic Logic 13 (2):189-225.
F. A. Muller (2005). Deflating Skolem. Synthese 143 (3):223 - 253.
F. A. Muller (2005). Deflating Skolem. Synthese 143 (3):223--53.
Timothy Bays (2000). Reflections on Skolem's Paradox. Dissertation, University of California, Los Angeles
Added to index2009-01-28
Total downloads76 ( #54,232 of 1,793,171 )
Recent downloads (6 months)6 ( #137,980 of 1,793,171 )
How can I increase my downloads?