You are here

An Introduction to Gödel's Theorems

Publisher: 
Cambridge University Press
Number of Pages: 
361
Price: 
29.99
ISBN: 
9780521674539
Date Received: 
Saturday, March 22, 2008
Reviewable: 
No
Include In BLL Rating: 
No
Reviewer Email Address: 
Peter Smith
Series: 
Cambridge Introductions to Philosophy
Publication Date: 
2007
Format: 
Paperback
Category: 
Textbook

Preface; 1. What Gödel's Theorems say; 2. Decidability and enumerability; 3. Axiomatized formal theories; 4. Capturing numerical properties; 5. The truths of arithmetic; 6. Sufficiently strong arithmetics; 7. Interlude: taking stock; 8. Two formalized arithmetics; 9. What Q can prove; 10. First-order Peano Arithmetic; 11. Primitive recursive functions; 12. Capturing funtions; 13. Q is p.r. adequate; 14. Interlude: a very little about Principia; 15. The arithmetization of syntax; 16. PA is incomplete; 17. Gödel's First Theorem; 18. Interlude: about the First Theorem; 19. Strengthening the First Theorem; 20. The Diagonalization Lemma; 21. Using the Diagonalization Lemma; 22. Second-order arithmetics; 23. Interlude: incompleteness and Isaacson’s conjecture; 24. Gödel's Second Theorem for PA; 25. The derivability conditions; 26. Deriving the derivability conditions; 27. Reflections; 28. Interlude: about the Second Theorem; 29. Recursive functions; 30. Undecidability and incompleteness; 31. Turing machines; 32. Turing machines and recursiveness; 33. Halting problems; 34. The Church-Turing Thesis; 35. Proving the Thesis?; 36. Looking back.

Publish Book: 
Modify Date: 
Thursday, March 18, 2010

Dummy View - NOT TO BE DELETED