Is Cantor's continuum problem inherently vague?

Philosophia Mathematica 10 (3):257-285 (2002)
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Abstract

I examine various claims to the effect that Cantor's Continuum Hypothesis and other problems of higher set theory are ill-posed questions. The analysis takes into account the viability of the underlying philosophical views and recent mathematical developments.

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10.1093/philmat/10.3.257

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Citations of this work

On the question of absolute undecidability.Peter Koellner - 2010 - In Kurt Gödel, Solomon Feferman, Charles Parsons & Stephen G. Simpson (eds.), Philosophia Mathematica. Association for Symbolic Logic. pp. 153-188.
Gödel's program revisited part I: The turn to phenomenology.Kai Hauser - 2006 - Bulletin of Symbolic Logic 12 (4):529-590.

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References found in this work

Science Without Numbers: A Defence of Nominalism.Hartry H. Field - 1980 - Princeton, NJ, USA: Princeton University Press.
Philosophy of logic.Willard Van Orman Quine - 1970 - Cambridge, Mass.: Harvard University Press. Edited by Simon Blackburn & Keith Simmons.
Mathematical truth.Paul Benacerraf - 1973 - Journal of Philosophy 70 (19):661-679.
Philosophy of Logic.W. V. O. Quine - 2005-01-01 - In José Medina & David Wood (eds.), Truth. Blackwell.

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