Description

Book Synopsis
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.

Definitions and Mathematical Knowledge

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    £21.54

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    Order before 4pm today for delivery by Tue 16 Jun 2026.

    A Paperback by Andrea Sereni

    15 in stock


      View other formats and editions of Definitions and Mathematical Knowledge by Andrea Sereni

      Publisher: Cambridge University Press
      Publication Date: 1/16/2025
      ISBN13: 9781009095990, 978-1009095990
      ISBN10: 1009095994
      Also in:
      Science & Nature Philosophy of science

      Description

      Book Synopsis
      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.

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