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Metamathematics, Machines and Godel's Proof

Goedel's incompleteness theorem and the Church-Rosser theorem. The computer verification using the Boyer-Moore theorem prover yields precise and;

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Foundations of Geometry

Along with the writings of Hilbert's friend and correspondent Frege, Hilbert's Foundations of Geometry set the stage for Russell and;

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Philosophy of Mathematics

image; platonism; picture-proofs; applied mathematics; Hilbert and Godel; knots and nations; definitions; picture-proofs and Wittgenstein; and;

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An Invitation to Cognitive Science

of Descartes, in the formal work of Russell and Godel, and in Wittgensteina s critique of folk psychology.;

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Goedel's Way

allows for time machines. The Godel incompleteness theorem - the usual formal mathematical systems cannot prove nor disprove all true;

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Godel's Proof

Related Systems ). Its author was Kurt Godel, then a young mathematician of 25 at the University of Vienna and since 1938 a permanent member;

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The Legacy of Kurt Schütte

This book on proof theory centers around the legacy of Kurt Schutte and its current impact on the subject. Schutte was the last doctoral;

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Kurt Godel

Kurt Goedel (1906-1978) did groundbreaking work that transformed logic and other important aspects of our understanding of mathematics;

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Logic and Its Philosophy

This collection of essays examines logic and its philosophy. The author investigates the nature of logic not only by describing its;

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Basic Proof Theory

This introduction to the basic ideas of structural proof theory contains a thorough discussion and comparison of various types;

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Thinking About Godel And Turing

everything is discrete software, everything is 0's and 1's.Chaitin's fundamental mathematical work will be of interest to philosophers concerned with;

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Thinking About Godel And Turing

that perhaps everything is discrete software, everything is 0's and 1's.Chaitin's fundamental mathematical work will be of interest to;

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Constructivism in Mathematics, Vol 1

the metamathematics of constructive mathematics, paying special attention to Intuitionism, Markov's constructivism and Martin-Lof's type;

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The Logic of Provability

incompleteness theorems of Kurt Godel and the 'self-referential' sentences constructed in their proof. The book explores the effects of reinterpreting;

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Introduction to Mathematical Logic

associated with the foundations of mathematics, metamathematics and theoretical computer science. The study of the deductive power of formal proof;

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The Undecidable

papers by Godel, Church, Turing, and Post single out the class of recursive functions as computable by finite algorithms. Additional papers by;

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It's PROOF TIME...

It is one thing to say that you believe in God, the Bible and Jesus Christ s sacrificial love: it is another to embody the living proof;

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The Proof Is in the Pudding: The Changing Nature of Mathematical Proof

, considering the advent of high-speed computing machines. Though there are many truths to be discovered in this book, by the end it is clear that there;

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Incompleteness in the Land of Sets

same idea yield the famous results of Godel, Church, Rosser, and Post. This book gives a full presentation of the basic incompleteness and;

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Mathematical Logic

incompleteness and undecidability results of Godel, Church, Turing, and others. The emphasis in the final chapter reverts to logic, with examinations;

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A = B

This book is of interest to mathematicians and computer scientists working in finite mathematics and combinatorics. It presents a;

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A = B

This book is of interest to mathematicians and computer scientists working in finite mathematics and combinatorics. It presents a;

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Godel Slam

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Godel,escher,bach

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Godel Escher Bach

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Recursive Functions and Metamathematics

Recursive Functions and Metamathematics deals with problems of the completeness and decidability of theories, using as its main tool the;

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