Definitions and Mathematical Knowledge
Author:   Andrea Sereni (Scuola Universitaria Superiore IUSS Pavia)
Publisher:   Cambridge University Press
ISBN:  

9781009095990


Pages:   102
Publication Date:   16 January 2025
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Definitions and Mathematical Knowledge


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Overview

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.

Full Product Details

Author:   Andrea Sereni (Scuola Universitaria Superiore IUSS Pavia)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
Dimensions:   Width: 15.10cm , Height: 0.60cm , Length: 22.80cm
Weight:   0.170kg
ISBN:  

9781009095990


ISBN 10:   1009095994
Pages:   102
Publication Date:   16 January 2025
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1. 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.

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