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Computability Computable Functions Logic And The Foundations Of Mathematics 3rd Edition Richard L Epstein

SKU: BELL-2389732

$ 31.00 ~~$ 45.00~~ (-31%)

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Computability Computable Functions Logic And The Foundations Of Mathematics 3rd Edition Richard L Epstein instant download after payment.

Publisher: Advanced Reasoning Forum

File Extension: DJVU

File size: 2.66 MB

Pages: 378

Author: Richard L. Epstein, Walter A. Carnielli

ISBN: 9780981550725, 098155072X

Language: English

Year: 2008

Edition: 3

Product desciption

Computability Computable Functions Logic And The Foundations Of Mathematics 3rd Edition Richard L Epstein by Richard L. Epstein, Walter A. Carnielli 9780981550725, 098155072X instant download after payment.

Now in a new edition!--the classic presentation of the theory of computable functions in the context of the foundations of mathematics. Part I motivates the study of computability with discussions and readings about the crisis in the foundations of mathematics in the early 20th century, while presenting the basic ideas of whole number, function, proof, and real number. Part II starts with readings from Turing and Post leading to the formal theory of recursive functions. Part III presents sufficient formal logic to give a full development of G?del's incompleteness theorems. Part IV considers the significance of the technical work with a discussion of Church's Thesis and readings on the foundations of mathematics. This new edition contains the timeline "Computability and Undecidability" as well as the essay "On mathematics".