Philosophia Mathematica 9 (2):129-153 (2001)
|Abstract||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)|
Similar books and articles
Timothy Bays (2006). The Mathematics of Skolem's Paradox. In Dale Jacquette (ed.), Philosophy of Logic.
F. A. Muller (2005). Deflating Skolem. Synthese 143 (3):223--53.
F. A. Muller (2005). Deflating Skolem. Synthese 143 (3):223 - 253.
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.
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.
Herbert Hrachovec, Ontological Relativity Reconsidered: Quine on Löwenheim-Skolem, Davidson on Quine.
Johannes Heidema (1990). An Axiom Schema of Comprehension of Zermelo–Fraenkel–Skolem Set Theory. History and Philosophy of Logic 11 (1):59-65.
Timothy Bays (2009). Skolem's Paradox. In Edward N. Zalta (ed.), Stanford Encyclopedia of Philosophy.
Added to index2009-01-28
Total downloads6 ( #154,629 of 722,764 )
Recent downloads (6 months)1 ( #60,247 of 722,764 )
How can I increase my downloads?