The logic of infinity [E-Book] / Barnaby Sheppard.
Sheppard, Barnaby, (author)
Cambridge : Cambridge University Press, 2014
1 online resource (xxiv, 473 pages)
englisch
9781107058316
9781107415614
9781107678668
Full Text
Table of Contents:
  • Introduction
  • Logical foundations
  • Avoiding Russell's paradox
  • Further axioms
  • Relations and order
  • Ordinal numbers and the axiom of infinity
  • Infinite arithmetic
  • Cardinal numbers
  • The axiom of choice and the continuum hypothesis
  • Models
  • From Gödel to Cohen. Peano arithmetic ; Zermelo-Fraenkel set theory ; Gödel's incompleteness theorems
  • Bibliography
  • Index.