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Phenomenology, logic, and the philosophy of mathematics /

Offering a collection of fifteen essays that deal with issues at the intersection of phenomenology, logic, and the philosophy of mathematics, this 2005 book is divided into three parts. Part I contains a general essay on Husserl's conception of science and logic, an essay of mathematics and tra...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Tieszen, Richard L., 1951-2017
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, ©2005.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Introduction : themes and issues
  • pt. I. Reason, science, and mathematics
  • 1. Science as a triumph of the human spirit and science in crisis : Husserl and the fortunes of reason
  • 2. Mathematics and transcendental phenomenology
  • 3. Free variation and the intuition of geometric essences : some reflections on phenomenology and modern geometry
  • pt. II. Kurt Godel, phenomenology, and the philosophy of mathematics
  • 4. Kurt Godel and phenomenology
  • 5. Godel's philosophical remarks on logic and mathematics
  • 6. Godel's path from the incompleteness theorems (1931) to phenomenology (1961)
  • 7. Godel and the intuition of concepts
  • 8. Godel and Quine on meaning and mathematics
  • 9. Maddy on realism in mathematics
  • 10. Penrose on minds and machines
  • pt. III. Constructivism, fulfillable intentions, and origins
  • 11. Intuitionism, meaning theory, and cognition
  • 12. philosophical background of Weyl's mathematical constructivism
  • 13. Proofs and fulfillable mathematical intentions
  • 14. Logicism, impredicativity, formalism : some remarks on Poincare and Husserl
  • 15. philosophy of arithmetic : Frege and Husserl.