Contents:
Introduction Stuart Shanker 1. Philosophy of Logic A.D.Irving 2. Philosophy of Mathematics in the Twentieth Century Michael Detlefsen 3. Frege Rainer Born 4. Wittgenstein's Tractatus James Bogen 5. Logical Positivism Oswald Hanfling 6. The Philosophy of Physics Rom Harre 7. The Philosophy of Science Today Joseph Agassi 8. Chance, Cause and Conduct: Probability Theory and the Explanation of Human Action Jeff Coulter 9. Cybernetics K.M.Sayre 10. Descartes' Legacy: The Mechanist/Vitalist Debates Stuart Shanker

First published in 2005. This study seeks to identify the specific mistakes that critics were alluding to in their passing asides on Wittgenstein's failure to grasp the mechanics of Godel's second incompleteness theorem. It also includes an understanding of his attack on meta-mathematics and Hilbert's Programme.

Beginning with a short biography of Kurt Godel, "Godel's Theorem in Focus" provides the reader with a clear guide to the mechanics of Godel's proof in a format intelligible to the non-mathematician. The book moves on to explanations of the mechanics of Godel's proof and its significance for mathematical logic and the philosophy of mathematics. In the final section, S. G. Shanker presents a major new critique of Godel's theorem.

First published in 2005. This study seeks to identify the specific mistakes that critics were alluding to in their passing asides on Wittgenstein's failure to grasp the mechanics of Godel's second incompleteness theorem. It also includes an understanding of his attack on meta-mathematics and Hilbert's Programme.