Set Theory Exploring Independence and Truth /

• Main Author: Schindler, Ralf (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: Universitext,
• Subjects: Mathematics.; Mathematical logic.; Mathematical Logic and Foundations.

This textbook gives an introduction to axiomatic set theory and examines the prominent questions that are relevant in current research in a manner that is accessible to students. Its main theme is the interplay of large cardinals, inner models, forcing, and descriptive set theory.   The following to...

Table of Contents:

• Naive set theory
• Axiomatic set theory
• Ordinals
• Cardinals
• Constructability
• Forcing
• Descriptive set theory
• Solovay’s model
• The Raisonnier filter
• Measurable cardinals
• 0# and Jensen’s Covering Lemma
• Analytic and full determinacy
• Projective determinacy.