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The foundations of mathematics in the theory of sets /

This 2001 book will appeal to mathematicians and philosophers interested in the foundations of mathematics.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Mayberry, John P.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, 2000.
Colección:Encyclopedia of mathematics and its applications ; v. 82.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Preliminaries
  • Idea of foundations for mathematics
  • Simple arithmetic
  • Basic set theory
  • Semantics, ontology, and logic
  • Principal axioms and definitions of set theory
  • Cantorian set theory
  • Cantorian finitism
  • Axiomatic method
  • Axiomatic set theory
  • Euclidean set theory
  • Euclidean finitism
  • Euclidean theory of cardinality
  • Euclidean theory of simply infinite systems
  • Euclidean set theory from the cantorian standpoint
  • Envoi.