In the light of logic /

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In this collection of essays written over a period of twenty years, Solomon Feferman explains advanced results in modern logic and employs them to cast light on significant problems in the foundations of mathematics. Most troubling among these is the revolutionary way in which Georg Cantor elaborate...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Feferman, Solomon
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Oxford University Press, ©1998.
Colección:Logic and computation in philosophy.
Temas:
Logic, Symbolic and mathematical.
Logique symbolique et mathématique.
MATHEMATICS > Infinity.
MATHEMATICS > Logic.
Logic, Symbolic and mathematical
Matematisk logik.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • I. Foundational Problems. Deciding the undecidable: Wrestling with Hilbert's problems. Infinity in mathematics: Is Cantor necessary?
  • II. Foundational Ways. The logic of mathematical discovery versus the logical structure of mathematics. Foundational ways. Working foundations
  • III. Godel. Godel's life and work. Kurt Godel: Conviction and caution. Introductory note to Godel's 1933 lecture
  • IV. Proof Theory. What does logic have to tell us about mathematical proofs? What rests on what? The proof-theoretic analysis of mathematics. Godel's Dialectica interpretation and its two-way stretch
  • V. Countably Reducible Mathematics. Infinity in mathematics: Is Cantor necessary? (Conclusion).

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