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OverviewThis 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. Full Product DetailsAuthor: Andrea Sereni (Scuola Universitaria Superiore IUSS Pavia)Publisher: Cambridge University Press Imprint: Cambridge University Press Dimensions: Width: 15.20cm , Height: 0.80cm , Length: 22.90cm Weight: 0.290kg ISBN: 9781009517676ISBN 10: 1009517678 Pages: 102 Publication Date: 16 January 2025 Audience: General/trade , General Format: Hardback Publisher's Status: Active Availability: Manufactured on demand ![]() We will order this item for you from a manufactured on demand supplier. Table of Contents1. Introduction; 2. Definitions and foundations; 3. Explicit definitions; 4. Implicit definitions; 5. Primitive implicit definitions: Axioms and abstractions; 6. Elucidations and explications; 7. Knowledge by definition; References.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |