An Introduction to Goedel's Theorems Paperback / softback
by Peter (University of Cambridge) Smith
Part of the Cambridge Introductions to Philosophy series
Paperback / softback
Description
In 1931, the young Kurt Goedel published his First Incompleteness Theorem, which tells us that, for any sufficiently rich theory of arithmetic, there are some arithmetical truths the theory cannot prove.
This remarkable result is among the most intriguing (and most misunderstood) in logic.
Goedel also outlined an equally significant Second Incompleteness Theorem.
How are these Theorems established, and why do they matter?
Peter Smith answers these questions by presenting an unusual variety of proofs for the First Theorem, showing how to prove the Second Theorem, and exploring a family of related results (including some not easily available elsewhere).
The formal explanations are interwoven with discussions of the wider significance of the two Theorems.
This book - extensively rewritten for its second edition - will be accessible to philosophy students with a limited formal background.
It is equally suitable for mathematics students taking a first course in mathematical logic.
Information
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Item not Available
- Format:Paperback / softback
- Pages:402 pages, Worked examples or Exercises
- Publisher:Cambridge University Press
- Publication Date:21/02/2013
- Category:
- ISBN:9781107606753
Information
-
Item not Available
- Format:Paperback / softback
- Pages:402 pages, Worked examples or Exercises
- Publisher:Cambridge University Press
- Publication Date:21/02/2013
- Category:
- ISBN:9781107606753
