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

Leitgeb, Hannes (2020): Why pure mathematical truths are metaphysically necessary: a set-theoretic explanation. In: Synthese, Vol. 197, No. 7: pp. 3113-3120

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.

• Item Type: Journal article
• Faculties: Philosophy, Philosophy of Science and Religious Science
• Subjects: 100 Philosophy and Psychology > 100 Philosophy
• ISSN: 0039-7857
• Language: English