Mathematical Rigour and Informal Proof 1st Edition Fenner Stanley Tanswell

Mathematical Rigour and Informal Proof – Ebook Instant Download/Delivery ISBN(s): 9781009494380,1009494384

Product details:

• ISBN-10 ‏ : ‎ 1009494384
• ISBN-13 ‏ : ‎ 978-1009494380
• Author(s): Fenner Stanley Tanswell; Penelope Rush, Stewart Shapiro

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.

Table contents:

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;

Reference

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