Why pure mathematical truths are metaphysically necessary: a set-theoretic explanation

Synthese 197 (7):3113-3120 (2020)
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Abstract

Pure mathematical truths are commonly thought to be metaphysically necessary. Assuming the truth of pure mathematics as currently pursued, and presupposing that set theory serves as a foundation of pure mathematics, this article aims to provide a metaphysical explanation of why pure mathematics is metaphysically necessary.

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Hannes Leitgeb
Ludwig Maximilians Universität, München

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