Cover of Definitions and Mathematical Knowledge by Sereni, Andrea, ISBN 9781009517676

Definitions and Mathematical Knowledge

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Hardback · ISBN 9781009517676

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Key Specifications

ISBN 9781009517676
Publisher Cambridge University Press
Publication date December 2024
Language English
MRP £55.00 GBP
Page count 104
Item weight 69 g

This Element discusses the philosophical roles of definitions in the attainment of mathematical knowledge. It first focuses on the role of definitions in foundational programs, and then examines their major varieties, both as regards their origins, their potential epistemic roles, and their formal constraints. It examines explicit definitions, implicit definitions, and implicit definitions of primitive terms, these latter being further divided into axiomatic and abstractive. After discussing elucidations and explications, various ways in which definitions can yield mathematical knowledge are surveyed.