Sets and Extensions in the Twentieth Century

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• Publisher: North Holland
• Year: 2012
• ISBN:
  9780080930664
• Topic: Matematica
• Subtopic: Matematica generale

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

Table of contents

• Cover
• Contents
• Front matter
• Copyright
• Preface
• Contributors
• Set Theory from Cantor to Cohen
• History of the Continuum in the 20th Century
• Infinite Combinatorics
• Large Cardinals with Forcing
• Inner Models for Large Cardinals
• A Brief History of Determinacy
• Singular Cardinals
• Alternative Set Theories
• Types, Sets, and Categories
• The History of Categorical Logic: 1963–1977
• Russell’s Orders in Kripke’s Theory of Truth and Computational Type Theory
• Index