Between inventing the concept of a universal computer in 1936 and breaking the German Enigma code during World War II, Alan Turing (19121954), the British founder of computer science and artificial intelligence, came to Princeton University to study mathematical logic. Some of the greatest logicians in the worldincluding Alonzo Church, Kurt Godel, John von Neumann, and Stephen Kleenewere at Princeton in the 1930s, and they were working on ideas that would lay the groundwork for what would become known as computer science. This book presents a facsimile of the original typescript of Turing's fascinating and influential 1938 Princeton PhD thesis, one of the key documents in the history of mathematics and computer science. The book also features essays by Andrew Appel and Solomon Feferman that explain the stillunfolding significance of the ideas Turing developed at Princeton. A work of philosophy as well as mathematics, Turing's thesis envisions a practical goala logical system to formalize mathematical proofs so they can be checked mechanically. If every step of a theorem could be verified mechanically, the burden on intuition would be limited to the axioms. Turing's point, as Appel writes, is that "mathematical reasoning can be done, and should be done, in mechanizable formal logic." Turing's vision of "constructive systems of logic for practical use" has become reality: in the twentyfirst century, automated "formal methods" are now routine. Presented here in its original form, this fascinating thesis is one of the key documents in the history of mathematics and computer science.
About Andrew W. Appel
Andrew W. Appel is the Eugene Higgins Professor and Chairman of the Department of Computer Science at Princeton University.Details Book
Author  :  Andrew W. Appel 
Publisher  :  Princeton University Press 
Data Published  :  17 October 2014 
ISBN  :  0691164738 
EAN  :  9780691164731 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  160 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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