Sets and Extensions in the Twentieth Century
eBook - ePub

Sets and Extensions in the Twentieth Century

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  1. 880 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Sets and Extensions in the Twentieth Century

,

About this book

Set theory is an autonomous and sophisticated field of mathematics that is extremely successful at analyzing mathematical propositions and gauging their consistency strength. It is as a field of mathematics that both proceeds with its own internal questions and is capable of contextualizing over a broad range, which makes set theory an intriguing and highly distinctive subject. This handbook covers the rich history of scientific turning points in set theory, providing fresh insights and points of view. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in mathematics, the history of philosophy, and any discipline such as computer science, cognitive psychology, and artificial intelligence, for whom the historical background of his or her work is a salient consideration- Serves as a singular contribution to the intellectual history of the 20th century- Contains the latest scholarly discoveries and interpretative insights

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Yes, you can access Sets and Extensions in the Twentieth Century by in PDF and/or ePUB format, as well as other popular books in Mathematik & Angewandte Mathematik. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Contents
  3. Front matter
  4. Copyright
  5. Preface
  6. Contributors
  7. Set Theory from Cantor to Cohen
  8. History of the Continuum in the 20th Century
  9. Infinite Combinatorics
  10. Large Cardinals with Forcing
  11. Inner Models for Large Cardinals
  12. A Brief History of Determinacy
  13. Singular Cardinals
  14. Alternative Set Theories
  15. Types, Sets, and Categories
  16. The History of Categorical Logic: 1963–1977
  17. Russell’s Orders in Kripke’s Theory of Truth and Computational Type Theory
  18. Index