Proof in the History and Philosophy of Mathematical Practice: An Introduction

Joachim Frans () and Bart Van Kerkhove ()
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Joachim Frans: Vrije Universiteit Brussel, Centre for Logic and Philosophy of Science
Bart Van Kerkhove: Vrije Universiteit Brussel, Centre for Logic and Philosophy of Science

A chapter in Handbook of the History and Philosophy of Mathematical Practice, 2024, pp 2037-2043 from Springer

Abstract: Abstract This introductory chapter sets the stage for an engaging exploration of the multifaceted concept of proof in the philosophy of mathematical practice. As a fundamental pillar of mathematics, proof has long been a subject of intense scrutiny for mathematicians and philosophers alike. Traditionally, proofs have been perceived as rigorous and deductive arguments, and this analysis was directed towards the notion of formal proof. However, recent developments have challenged this traditional view, highlighting the dynamic and evolving nature of mathematical proofs. In this section, we bring together diverse perspectives from leading scholars to delve into the philosophical significance and complexity of mathematical proof.

Keywords: Mathematical proof; Informal proof; Mathematical practice; Proof values; Diagrams; Social epistemology (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/978-3-031-40846-5_124

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