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Definitions and Mathematical Knowledge

by Definitions and Mathematical Knowledge

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Description

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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Product Details

  • Cambridge University Pres Brand
  • Jan 16, 2025 Pub Date:
  • 1009095994 ISBN-10:
  • 9781009095990 ISBN-13:
  • English Language
  • 9 in * 0.24 in * 6 in Dimensions:
  • 0 lb Weight: