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Mathematical Rigour and Informal Proof - Fenner Stanley Tanswell

Mathematical Rigour and Informal Proof

Buch | Hardcover
90 Seiten
2024
Cambridge University Press (Verlag)
978-1-009-49438-0 (ISBN)
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This Element surveys some of the main options in the literature: the standard view that rigour is logical, 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.
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.

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.

Erscheinungsdatum
Reihe/Serie Elements in the Philosophy of Mathematics
Zusatzinfo Worked examples or Exercises
Verlagsort Cambridge
Sprache englisch
Gewicht 268 g
Themenwelt Geisteswissenschaften Philosophie Erkenntnistheorie / Wissenschaftstheorie
Mathematik / Informatik Mathematik Angewandte Mathematik
ISBN-10 1-009-49438-4 / 1009494384
ISBN-13 978-1-009-49438-0 / 9781009494380
Zustand Neuware
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