Recursive Functions and Metamathematics: Problems of Completeness and Decidability, Godel's Theorems

Series: Synthese Library (v. 286)

Sold by Ingram

This product may not be approved for your region.
Hardback
  • Free Shipping

    On orders of AED 100 or more. Standard delivery within 5-15 days.
  • Free Reserve & Collect

    Reserve & Collect from Magrudy's or partner stores accross the UAE.
  • Cash On Delivery

    Pay when your order arrives.
  • Free returns

    See more about our return policy.
Recursive Functions and Metamathematics deals with problems of the completeness and decidability of theories, using as its main tool the theory of recursive functions. This theory is first introduced and discussed. Then Godel's incompleteness theorems are presented, together with generalizations, strengthenings, and the decidability theory. The book also considers the historical and philosophical context of these issues and their philosophical and methodological consequences. Recent results and trends have been included, such as undecidable sentences of mathematical content, reverse mathematics. All the main results are presented in detail. The book is self-contained and presupposes only some knowledge of elementary mathematical logic. There is an extensive bibliography. Readership: Scholars and advanced students of logic, mathematics, philosophy of science.