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September 2011 V = L and intuitive plausibility in set theory. A case study
Tatiana Arrigoni
Bull. Symbolic Logic 17(3): 337-360 (September 2011). DOI: 10.2178/bsl/1309952317

Abstract

What counts as an intuitively plausible set theoretic content (notion, axiom or theorem) has been a matter of much debate in contemporary philosophy of mathematics. In this paper I develop a critical appraisal of the issue. I analyze first R. B. Jensen's positions on the epistemic status of the axiom of constructibility. I then formulate and discuss a view of intuitiveness in set theory that assumes it to hinge basically on mathematical success. At the same time, I present accounts of set theoretic axioms and theorems formulated in non-strictly mathematical terms, e.g., by appealing to the iterative concept of set and/or to overall methodological principles, like unify and maximize, and investigate the relation of the latter to success in mathematics.

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Tatiana Arrigoni. "V = L and intuitive plausibility in set theory. A case study." Bull. Symbolic Logic 17 (3) 337 - 360, September 2011. https://doi.org/10.2178/bsl/1309952317

Information

Published: September 2011
First available in Project Euclid: 6 July 2011

zbMATH: 1258.03070
MathSciNet: MR2856077
Digital Object Identifier: 10.2178/bsl/1309952317

Rights: Copyright © 2011 Association for Symbolic Logic

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Vol.17 • No. 3 • September 2011
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