Interpreting Gödel: Critical Essays - Hardcover

Hardcover

ISBN 10: 1107002664 ISBN 13: 9781107002661

Publisher: Cambridge University Press, 2014

Synopsis

The logician Kurt Gödel (1906-1978) published a paper in 1931 formulating what have come to be known as his 'incompleteness theorems', which prove, among other things, that within any formal system with resources sufficient to code arithmetic, questions exist which are neither provable nor disprovable on the basis of the axioms which define the system. These are among the most celebrated results in logic today. In this volume, leading philosophers and mathematicians assess important aspects of Gödel's work on the foundations and philosophy of mathematics. Their essays explore almost every aspect of Godel's intellectual legacy including his concepts of intuition and analyticity, the Completeness Theorem, the set-theoretic multiverse, and the state of mathematical logic today. This groundbreaking volume will be invaluable to students, historians, logicians and philosophers of mathematics who wish to understand the current thinking on these issues.

About this title

Book Description:

In this groundbreaking volume, leading philosophers and mathematicians explore almost every aspect of Kurt Gödel's work on the foundations and philosophy of mathematics. It will be invaluable to students, historians, logicians and philosophers who wish to understand the current thinking on Gödel's intellectual legacy.

About the Author:

Juliette Kennedy is an Associate Professor in the Department of Mathematics and Statistics at the University of Helsinki.

About this edition

• Publisher: Cambridge University Press
• Publication date: 2014
• ISBN 10: 1107002664
• ISBN 13: 9781107002661
• Binding: Hardcover
• Number of pages: 288
• Editor: Kennedy Juliette