Mathematical Rigour and Informal Proof
Book Details
Format
Hardback or Cased Book
Book Series
Elements in the Philosophy of Mathematics
ISBN-10
1009494384
ISBN-13
9781009494380
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Mar 28th, 2024
Print length
90 Pages
Weight
274 grams
Dimensions
23.60 x 16.00 x 0.80 cms
Product Classification:
PhilosophyPhilosophy
Ksh 10,100.00
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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.
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