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A study in the philosophy of science /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Beth, Evert Willem
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Dodrecht : Elsevier Science, 1959.
Colección:Studies in logic and the foundations of mathematics ; v. 25.
Temas:
Acceso en línea:Texto completo
Texto completo
Texto completo
Tabla de Contenidos:
  • Prehistory of research into foundations
  • Aristotle's theory of science
  • Historical development of symbolic logic and formalised axiomatics
  • Introduction
  • Extension of the system of natural numbers
  • Theory of natural numbers
  • Axiomatics of fundamental theories of modern mathematics
  • Introduction
  • Survey of symbolic logic
  • Finitary theory of proof
  • Syntax
  • Semantics
  • Logicism
  • Cantorism
  • Intuitionism
  • Nominalism
  • Paradoxes of logic and set theory and their solution
  • Completeness theorems for logical systems
  • Calculus of systems and models
  • Further applications of topological methods
  • Theory of recursive functions and the negative results concerning the decision problem
  • Metamathematics, philosophy of mathematics and general philosophy.