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Definitions and Mathematical Knowledge

Expected online publication date:  07 January 2025

Andrea Sereni
Affiliation:
Scuola Universitaria Superiore IUSS Pavia

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.
Type
Element
Information
Online ISBN: 9781009091084
Publisher: Cambridge University Press

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Definitions and Mathematical Knowledge
  • Andrea Sereni, Scuola Universitaria Superiore IUSS Pavia
  • Online ISBN: 9781009091084
Available formats No formats are currently available for this content.
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Definitions and Mathematical Knowledge
  • Andrea Sereni, Scuola Universitaria Superiore IUSS Pavia
  • Online ISBN: 9781009091084
Available formats No formats are currently available for this content.
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To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Definitions and Mathematical Knowledge
  • Andrea Sereni, Scuola Universitaria Superiore IUSS Pavia
  • Online ISBN: 9781009091084
Available formats No formats are currently available for this content.
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