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, Bd. 197, Nr. 7: S. 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.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Philosophie, Wissenschaftstheorie und Religionswissenschaft
• Themengebiete: 100 Philosophie und Psychologie > 100 Philosophie
• ISSN: 0039-7857
• Sprache: Englisch