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Godel, Escher, Bach: An Eternal Golden Braid
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by
Douglas R Hofstadter
G(del, Escher, Bach is a Pulitzer Prizewinning treatise exploring patterns and symbols in the thinking of mathematician Kurt G(del, artist M. C. Escher and composer Johann Sebastian Bach. A groundbreaking book that has set the standard for interdisciplinary writing. A book every thinking reader must have.. Douglas Hofstadters book is concerned ...
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Metamagical Themas: Questing for the Essence of Mind and Pattern
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Douglas R Hofstadter
Hofstadters collection of quirky essays is unified by its primary concern: to examine the way people perceive and think..
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Godel, Escher, Bach V502
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by
Douglas R Hofstadter
First published in 1979, this is a genuine interdisciplinary work of nonfiction, with dozens of historical references and subtexts. Critics and reviewers have summed up its meaning in varying ways, yet consistently with praise. A mixture of art, philosophy, music, math, technology, and cognitive science, the book's title only reflects one aspect ...
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Godel, Escher, Bach
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by
Douglas R Hofstadter
G(del, Escher, Bach is a Pulitzer Prizewinning treatise exploring patterns and symbols in the thinking of mathematician Kurt G(del, artist M. C. Escher and composer Johann Sebastian Bach. A groundbreaking book that has set the standard for interdisciplinary writing. A book every thinking reader must have.. Douglas Hofstadters book is concerned ...
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Logic, Semantics, Metamathematics: Papers from 1923 to 1938
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by
Alfred Tarski
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Introduction to Metamathematics
by
S C Kleene, Kleene S C Kleene
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What Number is God?: Metaphors, Metaphysics, Metamathematics, and the Nature of Things
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by
Sarah Voss
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Metamathematics, Machines, and Godel's Proof
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by
N Shankar
Mathematicians from Leibniz to Hilbert have sought to mechanise the verification of mathematical proofs. Developments arising out of Godel's proof of his incompleteness theorem showed that no computer program could automatically prove true all the theorems of mathematics. In practice, however, there are a number of sophisticated automated ...
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Introduction to model theory and to the metamathematics of algebra
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by
Abraham Robinson
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Recursion Theory for Metamathematics
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by
Raymond M. Smullyan
This work is a sequel to the author's Godel's Incompleteness Theorems, though it can be read independently by anyone familiar with Godel's incompleteness theorem for Peano arithmetic. The book deals mainly with those aspects of recursion theory that have applications to the metamathematics of incompleteness, undecidability, and related topics. It ...
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Metamathematics of Fuzzy Logic
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by
Petr Hajek
This book presents a systematic treatment of deductive aspects and structures of fuzzy logic understood as many valued logic sui generis. Some important systems of real-valued propositional and predicate calculus are defined and investigated. The aim is to show that fuzzy logic as a logic of imprecise (vague) propositions does have well-developed ...
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Mechanism, Mentalism and Metamathematics: An Essay on Finitism
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by
Judson Chambers Webb
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Recursive Functions and Metamathematics: Problems of Completeness and Decidability, Gdel's Theorems
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by
Roman Murawski
"Recursive Functions and Metamathematics" deals with problems of the completeness and decidability of theories, using as its main tool the theory of recursive functions. This theory is first introduced and discussed. Then Godel's incompleteness theorems are presented, together with generalizations, strengthenings, and the decidability theory. This ...
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Theory of formal systems.
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by
Raymond M. Smullyan
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A Relational Theory of Computing
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by
John G Sanderson
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The Metamathematics of Algebraic Systems, Collected Papers: 1936-1967
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by
A I Mal'tsev
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Intro to Metamathematic
by
Stephen Cole Kleene
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Elementary logic of science and mathematics.
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by
P. H. Nidditch
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Introductory formal logic of mathematics.
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by
P. H. Nidditch
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On the metamathematics of algebra.
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by
Abraham Robinson
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The mathematics of metamathematics.
by
Helena Rasiowa, Roman Sikorski
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Constructivity in mathematics; proceedings.
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by
A. Heyting
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Metamathematik.
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by
Paul Lorenzen
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Unvollständigkeit und Unentscheidbarkeit.
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by
Wolfgang Stegmüller
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