Definitions and mathematical knowledge / Andrea Sereni.

Format:

Book

Author/Creator:

Sereni, Andrea, 1977- author.

Series:

Cambridge elements. Elements in the philosophy of mathematics 2399-2883.

Cambridge elements. Elements in the philosophy of mathematics, 2399-2883

Language:

English

Subjects (All):

Mathematics--Philosophy.

Mathematics.

Physical Description:

1 online resource (94 pages) : digital, PDF file(s).

Edition:

1st ed.

Place of Publication:

Cambridge : Cambridge University Press, 2024.

Summary:

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

Notes:

Title from publisher's bibliographic system (viewed on 06 Dec 2024).

ISBN:

9781009090483

1009090488

9781009090285

1009090283

9781009091084

1009091085

OCLC:

1511109922