Mathematical Rigour and Informal Proof

Fenner Stanley Tanswell (Loughborough University)

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English

Cambridge University Press
28 March 2024

Philosophy: epistemology & theory of knowledge; Philosophy of mathematics; Mathematical modelling

Series: Elements in the Philosophy of Mathematics

This Element looks at the contemporary debate on the nature of mathematical rigour and informal proofs as found in mathematical practice. The central argument is for rigour pluralism: that multiple different models of informal proof are good at accounting for different features and functions of the concept of rigour. To illustrate this pluralism, the Element surveys some of the main options in the literature: the 'standard view' that rigour is just formal, logical rigour; the models of proofs as arguments and dialogues; the recipe model of proofs as guiding actions and activities; and the idea of mathematical rigour as an intellectual virtue. The strengths and weaknesses of each are assessed, thereby providing an accessible and empirically-informed introduction to the key issues and ideas found in the current discussion.

By: Fenner Stanley Tanswell (Loughborough University)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 228mm, Width: 151mm, Spine: 5mm
Weight: 150g
ISBN: 9781009325103
ISBN 10: 1009325108
Series: Elements in the Philosophy of Mathematics
Pages: 90
Publication Date: 28 March 2024
Audience: General/trade , ELT Advanced
Format: Paperback
Publisher's Status: Active

Prologue: three proofs?; 1. Introduction; 2. The standard view: rigour as formality; 3. Arguments and dialogues; 4. The recipe model of proofs; 5. Rigour is a virtue; 6. Conclusion; References.