The foundations of mathematics in the theory of sets [E-Book] / J.P. Mayberry.
Mayberry, John P., (author)
Cambridge : Cambridge University Press, 2000
1 online resource (xx, 424 pages)
englisch
9780521770347
9781139087124
9780521172714
Encyclopedia of mathematics and its applications ; volume 82
Full Text
Table of Contents:
  • 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.