Definitions and Mathematical Knowledge (Hardcover) (ISBN-13: 9781009517676)

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.

Author: Andrea Sereni
ISBN-10: 1009517678
ISBN-13: 9781009517676
Publisher: Cambridge University Press
Language: English
Published: 01/16/2025
Pages: 102
Format: Hardcover
Weight: 0.69lbs
Size: 9.00h x 6.00w x 0.31d