Kurt G Del
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Computational Logic And Proof Theory
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Author : Georg Gottlob
language : en
Publisher:
Release Date : 1993
Computational Logic And Proof Theory written by Georg Gottlob and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Automatic theorem proving categories.
"The Third Kurt G
Kurt G Del And The Foundations Of Mathematics
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Author : Matthias Baaz
language : en
Publisher: Cambridge University Press
Release Date : 2011-06-06
Kurt G Del And The Foundations Of Mathematics written by Matthias Baaz and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-06 with Mathematics categories.
This volume commemorates the life, work and foundational views of Kurt Gödel (1906–78), most famous for his hallmark works on the completeness of first-order logic, the incompleteness of number theory, and the consistency - with the other widely accepted axioms of set theory - of the axiom of choice and of the generalized continuum hypothesis. It explores current research, advances and ideas for future directions not only in the foundations of mathematics and logic, but also in the fields of computer science, artificial intelligence, physics, cosmology, philosophy, theology and the history of science. The discussion is supplemented by personal reflections from several scholars who knew Gödel personally, providing some interesting insights into his life. By putting his ideas and life's work into the context of current thinking and perceptions, this book will extend the impact of Gödel's fundamental work in mathematics, logic, philosophy and other disciplines for future generations of researchers.
The Shackles Of Conviction
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Author : James R. Meyer
language : en
Publisher:
Release Date : 2008
The Shackles Of Conviction written by James R. Meyer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Fiction categories.
Incompleteness The Proof And Paradox Of Kurt G Del Great Discoveries
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Author : Rebecca Goldstein
language : en
Publisher: W. W. Norton & Company
Release Date : 2006-02-17
Incompleteness The Proof And Paradox Of Kurt G Del Great Discoveries written by Rebecca Goldstein and has been published by W. W. Norton & Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-17 with Biography & Autobiography categories.
A portrait of the eminent twentieth-century mathematician discusses his theorem of incompleteness, relationships with such contemporaries as Albert Einstein, and untimely death as a result of mental instability and self-starvation.
Philosophie I Maximen 0
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Author : Kurt Gödel
language : en
Publisher: de Gruyter
Release Date : 2019
Philosophie I Maximen 0 written by Kurt Gödel and has been published by de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Mathematics categories.
The philosophical remarks of Kurt Gödel have been handed down in the form of 15 notebooks. Gödel's overall philosophical project encompasses both his individual ethics and a philosophy of science within the context of a metaphysics. The present vo
In The Light Of Logic
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Author : Solomon Feferman
language : en
Publisher: Oxford University Press, USA
Release Date : 1998
In The Light Of Logic written by Solomon Feferman and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Logic, Symbolic and mathematical categories.
In this collection of essays written over a period of twenty years, Solomon Feferman explains advanced results in modern logic and employs them to cast light on significant problems in the foundations of mathematics. Most troubling among these is the revolutionary way in which Georg Cantor elaborated the nature of the infinite, and in doing so helped transform the face of twentieth-century mathematics. Feferman details the development of Cantorian concepts and the foundational difficulties they engendered. He argues that the freedom provided by Cantorian set theory was purchased at a heavy philosophical price, namely adherence to a form of mathematical platonism that is difficult to support. Beginning with a previously unpublished lecture for a general audience, Deciding the Undecidable, Feferman examines the famous list of twenty-three mathematical problems posed by David Hilbert, concentrating on three problems that have most to do with logic. Other chapters are devoted to the work and thought of Kurt Gödel, whose stunning results in the 1930s on the incompleteness of formal systems and the consistency of Cantors continuum hypothesis have been of utmost importance to all subsequent work in logic. Though Gödel has been identified as the leading defender of set-theoretical platonism, surprisingly even he at one point regarded it as unacceptable. In his concluding chapters, Feferman uses tools from the special part of logic called proof theory to explain how the vast part--if not all--of scientifically applicable mathematics can be justified on the basis of purely arithmetical principles. At least to that extent, the question raised in two of the essays of the volume, Is Cantor Necessary?, is answered with a resounding no. This volume of important and influential work by one of the leading figures in logic and the foundations of mathematics is essential reading for anyone interested in these subjects.
On Formally Undecidable Propositions Of Principia Mathematica And Related Systems
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Author : Kurt Gödel
language : en
Publisher: Courier Corporation
Release Date : 2012-05-24
On Formally Undecidable Propositions Of Principia Mathematica And Related Systems written by Kurt Gödel and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-24 with Mathematics categories.
First English translation of revolutionary paper (1931) that established that even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. Introduction by R. B. Braithwaite.
A World Without Time
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Author : Palle Yourgrau
language : en
Publisher: Basic Books
Release Date : 2009-03-04
A World Without Time written by Palle Yourgrau and has been published by Basic Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-04 with Science categories.
In 1942, the logician Kurt Godel and Albert Einstein became close friends; they walked to and from their offices every day, exchanging ideas about science, philosophy, politics, and the lost world of German science. By 1949, Godel had produced a remarkable proof: In any universe described by the Theory of Relativity, time cannot exist. Einstein endorsed this result reluctantly but he could find no way to refute it, since then, neither has anyone else. Yet cosmologists and philosophers alike have proceeded as if this discovery was never made. In A World Without Time, Palle Yourgrau sets out to restore Godel to his rightful place in history, telling the story of two magnificent minds put on the shelf by the scientific fashions of their day, and attempts to rescue the brilliant work they did together.
Computational Logic And Proof Theory
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Author : Georg Gottlob
language : en
Publisher: Springer
Release Date : 2014-10-08
Computational Logic And Proof Theory written by Georg Gottlob and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-08 with Mathematics categories.
The Third Kurt G|del Symposium, KGC'93, held in Brno, Czech Republic, August1993, is the third in a series of biennial symposia on logic, theoretical computer science, and philosophy of mathematics. The aim of this meeting wasto bring together researchers working in the fields of computational logic and proof theory. While proof theory traditionally is a discipline of mathematical logic, the central activity in computational logic can be foundin computer science. In both disciplines methods were invented which arecrucial to one another. This volume contains the proceedings of the symposium. It contains contributions by 36 authors from 10 different countries. In addition to 10 invited papers there are 26 contributed papers selected from over 50 submissions.
Computational Logic And Proof Theory
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Author : Georg Gottlob
language : en
Publisher: Springer
Release Date : 1993-08-13
Computational Logic And Proof Theory written by Georg Gottlob and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-08-13 with Mathematics categories.
The Third Kurt G|del Symposium, KGC'93, held in Brno, Czech Republic, August1993, is the third in a series of biennial symposia on logic, theoretical computer science, and philosophy of mathematics. The aim of this meeting wasto bring together researchers working in the fields of computational logic and proof theory. While proof theory traditionally is a discipline of mathematical logic, the central activity in computational logic can be foundin computer science. In both disciplines methods were invented which arecrucial to one another. This volume contains the proceedings of the symposium. It contains contributions by 36 authors from 10 different countries. In addition to 10 invited papers there are 26 contributed papers selected from over 50 submissions.