Undecidable Basic Papers on Undecidable Propositions, Unsolvable Problems and Computable Functions

ISBN-10: 0486432289

ISBN-13: 9780486432281

Edition: 2004

Authors: Martin Davis

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Description:

An anthology of fundamental papers on undecidability and unsolvability by major figures in the field, this classic reference opens with Gdel's landmark 1931 paper demonstrating that systems of logic cannot admit proofs of all true assertions of arithmetic. Subsequent papers by Gdel, Church, Turing, and Post single out the class of recursive functions as computable by finite algorithms. 1965 edition.
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Book details

List price: $24.95
Copyright year: 2004
Publisher: Dover Publications, Incorporated
Publication date: 2/18/2004
Binding: Paperback
Pages: 416
Size: 6.00" wide x 9.00" long x 1.00" tall
Weight: 1.144

On Formally Undecidable Propositions of the Principia Mathematica and Related Systems. I
On Undecidable Propositions of Formal Mathematical Systems
On Intuitionistic Arithmetic and Number Theory
On the Length of Proofs
Remarks Before the Princeton Bicentennial Conference on Problems in Mathematics
An Unsolvable Problem of Elementary Number Theory
A Note on the Entscheidungsproblem
On Computable Numbers, with an Application to the Entscheidungsproblem
Systems of Logic Based on Ordinals
An Informal Exposition of Proofs of Godel's Theorem and Church's Theorem
Extensions of Some Theorems of Godel and Church
General Recursive Functions of Natural Numbers
Recursive Predicates and Quantifiers
Finite Combinatory Processes. Formulation I
Recursive Unsolvability of a Problem of Thue
Recursively Enumerable Sets of Positive Integers and Their Decision Problems
Absolutely Unsolvable Problems and Relatively Undecidable Propositions- Account of an Anticipation
Index
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