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Computability: Computable Functions, Logic, and the Foundations of Mathematics

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Management number 231816247 Release Date 2026/06/18 List Price US$10.34 Model Number 231816247
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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 Gödel'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". Read more

ASIN B08NTKFJD8
XRay Not Enabled
Format Print Replica
ISBN13 978-0981550732
Edition 3rd
Language English
File size 99.0 MB
Page Flip Not Enabled
Publisher Advanced Reasoning Forum
Word Wise Not Enabled
Reading age 18 years and up
Print length 384 pages
Accessibility Learn more
Publication date October 24, 2018
Enhanced typesetting Not Enabled

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