Principles Of Mathematical Logic
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Principles Of Mathematical Logic
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Author : David Hilbert
language : en
Publisher: American Mathematical Soc.
Release Date : 1999
Principles Of Mathematical Logic written by David Hilbert and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
David Hilbert was particularly interested in the foundations of mathematics. Among many other things, he is famous for his attempt to axiomatize mathematics. This now classic text is his treatment of symbolic logic. It lays the groundwork for his later work with Bernays. This translation is based on the second German edition, and has been modified according to the criticisms of Church and Quine. In particular, the authors' original formulation of Gödel's completeness proof for the predicate calculus has been updated. In the first half of the twentieth century, an important debate on the foundations of mathematics took place. Principles of Mathematical Logic represents one of Hilbert's important contributions to that debate. Although symbolic logic has grown considerably in the subsequent decades, this book remains a classic.
Mathematical Principles Of Fuzzy Logic
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Author : Vilém Novák
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematical Principles Of Fuzzy Logic written by Vilém Novák and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Mathematical Principles of Fuzzy Logic provides a systematic study of the formal theory of fuzzy logic. The book is based on logical formalism demonstrating that fuzzy logic is a well-developed logical theory. It includes the theory of functional systems in fuzzy logic, providing an explanation of what can be represented, and how, by formulas of fuzzy logic calculi. It also presents a more general interpretation of fuzzy logic within the environment of other proper categories of fuzzy sets stemming either from the topos theory, or even generalizing the latter. This book presents fuzzy logic as the mathematical theory of vagueness as well as the theory of commonsense human reasoning, based on the use of natural language, the distinguishing feature of which is the vagueness of its semantics.
Principles Of Mathematical Logic
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Author : D. Hilbert
language : de
Publisher:
Release Date : 1950
Principles Of Mathematical Logic written by D. Hilbert and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1950 with categories.
Principia Mathematica
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Author : Alfred North Whitehead
language : en
Publisher: Cambridge University Press
Release Date : 1927
Principia Mathematica written by Alfred North Whitehead 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 1927 with Mathematics categories.
The Principia Mathematica has long been recognised as one of the intellectual landmarks of the century.
The Principles Of Mathematics Revisited
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Author : Jaakko Hintikka
language : en
Publisher: Cambridge University Press
Release Date : 1998-04-28
The Principles Of Mathematics Revisited written by Jaakko Hintikka 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 1998-04-28 with Mathematics categories.
This book, written by one of philosophy's pre-eminent logicians, argues that many of the basic assumptions common to logic, philosophy of mathematics and metaphysics are in need of change. It is therefore a book of critical importance to logical theory. Jaakko Hintikka proposes a new basic first-order logic and uses it to explore the foundations of mathematics. This new logic enables logicians to express on the first-order level such concepts as equicardinality, infinity, and truth in the same language. The famous impossibility results by Gödel and Tarski that have dominated the field for the last sixty years turn out to be much less significant than has been thought. All of ordinary mathematics can in principle be done on this first-order level, thus dispensing with the existence of sets and other higher-order entities.
The Principles Of Mathematics
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Author : Bertrand Russell
language : en
Publisher:
Release Date : 1903
The Principles Of Mathematics written by Bertrand Russell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1903 with Mathematics categories.
From Frege To G Del
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Author : Jean van Heijenoort
language : en
Publisher: Harvard University Press
Release Date : 1967
From Frege To G Del written by Jean van Heijenoort and has been published by Harvard University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Mathematics categories.
Gathered together here are the fundamental texts of the great classical period in modern logic. A complete translation of Gottlob Frege’s Begriffsschrift—which opened a great epoch in the history of logic by fully presenting propositional calculus and quantification theory—begins the volume, which concludes with papers by Herbrand and by Gödel.
Introduction To Mathematical Logic Extended Edition
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Author : Michal Walicki
language : en
Publisher: World Scientific Publishing Company
Release Date : 2016-08-12
Introduction To Mathematical Logic Extended Edition written by Michal Walicki and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-12 with Mathematics categories.
This is a systematic and well-paced introduction to mathematical logic. Excellent as a course text, the book presupposes only elementary background and can be used also for self-study by more ambitious students.Starting with the basics of set theory, induction and computability, it covers propositional and first order logic — their syntax, reasoning systems and semantics. Soundness and completeness results for Hilbert's and Gentzen's systems are presented, along with simple decidability arguments. The general applicability of various concepts and techniques is demonstrated by highlighting their consistent reuse in different contexts.Unlike in most comparable texts, presentation of syntactic reasoning systems precedes the semantic explanations. The simplicity of syntactic constructions and rules — of a high, though often neglected, pedagogical value — aids students in approaching more complex semantic issues. This order of presentation also brings forth the relative independence of syntax from the semantics, helping to appreciate the importance of the purely symbolic systems, like those underlying computers.An overview of the history of logic precedes the main text, while informal analogies precede introduction of most central concepts. These informal aspects are kept clearly apart from the technical ones. Together, they form a unique text which may be appreciated equally by lecturers and students occupied with mathematical precision, as well as those interested in the relations of logical formalisms to the problems of computability and the philosophy of logic.This revised edition contains also, besides many new exercises, a new chapter on semantic paradoxes. An equivalence of logical and graphical representations allows us to see vicious circularity as the odd cycles in the graphical representation and can be used as a simple tool for diagnosing paradoxes in natural discourse.
Principles Of Mathematics
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Author : Bertrand Russell
language : en
Publisher:
Release Date : 1937
Principles Of Mathematics written by Bertrand Russell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1937 with Mathematics categories.
The Mathematical Analysis Of Logic
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Author : George Boole
language : en
Publisher:
Release Date : 1847
The Mathematical Analysis Of Logic written by George Boole and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1847 with History categories.
The Mathematical Analysis of Logic by George Boole, first published in 1948, is a rare manuscript, the original residing in one of the great libraries of the world. This book is a reproduction of that original, which has been scanned and cleaned by state-of-the-art publishing tools for better readability and enhanced appreciation. Restoration Editors' mission is to bring long out of print manuscripts back to life. Some smudges, annotations or unclear text may still exist, due to permanent damage to the original work. We believe the literary significance of the text justifies offering this reproduction, allowing a new generation to appreciate it.