Philosophia Mathematica:nkab016 (forthcoming)

John Burgess
Princeton University
ABSTRACT There is no prospect of discovering measurable cardinals by radio astronomy, but this does not mean that higher set theory is entirely irrelevant to applied mathematics broadly construed. By way of example, the bearing of some celebrated descriptive-set-theoretic consequences of large cardinals on measurable-selection theory, a body of results originating with a key lemma in von Neumann’s work on the mathematical foundations of quantum theory, and further developed in connection with problems of mathematical economics, will be considered from a philosophical point of view.
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DOI 10.1093/philmat/nkab016
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References found in this work BETA

The Iterative Conception of Set.George Boolos - 1971 - Journal of Philosophy 68 (8):215-231.
On Reflection Principles.Peter Koellner - 2009 - Annals of Pure and Applied Logic 157 (2-3):206-219.
Descriptive Set Theory.Yiannis Nicholas Moschovakis - 1982 - Studia Logica 41 (4):429-430.

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