Foundations without Foundationalism. A Case for Second-order Logic (Broché)

  • Oxford University Press

  • Paru le : 21/06/2000
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Stewart Shapiro presents a distinctive and persuasive view of the foundations of mathematics, arguing controversially that second-order logic has a central... > Lire la suite
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Stewart Shapiro presents a distinctive and persuasive view of the foundations of mathematics, arguing controversially that second-order logic has a central role to play in laying these foundations. To support this contention, he first gives a detailed development of second-order and higher-order logic, in a way that will be accessible to graduate students. He then demonstrates that second-order notions are prevalent in mathematics as practised, and that higher-order logic is needed to codify many contemporary mathematical concepts. Throughout, he emphasizes philosophical and historical issues that the subject raises. Foundations without Foundationalism is a key contribution both to philosophy of mathematics and to mathematical logic.
  • ORIENTATION
    • Terms and questions
    • Foundationalism and foundations of mathematics
  • LOGIC AND MATHEMATICS
    • Theory
    • Metatheory
    • Second-order logic and mathematics
    • Advanced metatheory
  • HISTORY AND PHILOSOPHY
    • The historical 'triumph' of first-order languages
    • Second-order logic and rule-following
    • The competition
  • Date de parution : 21/06/2000
  • Editeur : Oxford University Press
  • Collection : oxford logic guides
  • ISBN : 0-19-825029-0
  • EAN : 9780198250296
  • Présentation : Broché
  • Nb. de pages : 277 pages
  • Poids : 0.44 Kg
  • Dimensions : 15,7 cm × 23,4 cm × 1,9 cm

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Foundations without Foundationalism. A Case for Second-order Logic
18,60 €
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