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The Mathematical Analysis Of Logic


The Mathematical Analysis Of Logic
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The Mathematical Analysis Of Logic


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.



Mathematical Aspects Of Logic Programming Semantics


Mathematical Aspects Of Logic Programming Semantics
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Author : Pascal Hitzler
language : en
Publisher: CRC Press
Release Date : 2016-04-19

Mathematical Aspects Of Logic Programming Semantics written by Pascal Hitzler and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Computers categories.


Covering the authors' own state-of-the-art research results, this book presents a rigorous, modern account of the mathematical methods and tools required for the semantic analysis of logic programs. It significantly extends the tools and methods from traditional order theory to include nonconventional methods from mathematical analysis that depend on topology, domain theory, generalized distance functions, and associated fixed-point theory. The authors closely examine the interrelationships between various semantics as well as the integration of logic programming and connectionist systems/neural networks.



Mathematical Logic


Mathematical Logic
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Author : J.D. Monk
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Mathematical Logic written by J.D. Monk 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.


From the Introduction: "We shall base our discussion on a set-theoretical foundation like that used in developing analysis, or algebra, or topology. We may consider our task as that of giving a mathematical analysis of the basic concepts of logic and mathematics themselves. Thus we treat mathematical and logical practice as given empirical data and attempt to develop a purely mathematical theory of logic abstracted from these data." There are 31 chapters in 5 parts and approximately 320 exercises marked by difficulty and whether or not they are necessary for further work in the book.



A Tour Through Mathematical Logic


A Tour Through Mathematical Logic
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Author : Robert S. Wolf
language : en
Publisher: American Mathematical Soc.
Release Date : 2005-12-31

A Tour Through Mathematical Logic written by Robert S. Wolf 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 2005-12-31 with Algebra, Abstract categories.


A Tour Through Mathematical Logic provides a tour through the main branches of the foundations of mathematics. It contains chapters covering elementary logic, basic set theory, recursion theory, Gödel's (and others') incompleteness theorems, model theory, independence results in set theory, nonstandard analysis, and constructive mathematics. In addition, this monograph discusses several topics not normally found in books of this type, such as fuzzy logic, nonmonotonic logic, and complexity theory.



The Mathematical Analysis Of Logic


The Mathematical Analysis Of Logic
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Author : George Boole
language : en
Publisher:
Release Date : 2021-10-25

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 2021-10-25 with categories.


With this work, George Boole ushered in the digital age.



Algebraic Logic


Algebraic Logic
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Author : Semen Grigorʹevich Gindikin
language : en
Publisher: Springer Science & Business Media
Release Date : 1985-10-14

Algebraic Logic written by Semen Grigorʹevich Gindikin 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 1985-10-14 with Mathematics categories.


The popular literature on mathematical logic is rather extensive and written for the most varied categories of readers. College students or adults who read it in their free time may find here a vast number of thought-provoking logical problems. The reader who wishes to enrich his mathematical background in the hope that this will help him in his everyday life can discover detailed descriptions of practical (and quite often -- not so practical!) applications of logic. The large number of popular books on logic has given rise to the hope that by applying mathematical logic, students will finally learn how to distinguish between necessary and sufficient conditions and other points of logic in the college course in mathematics. But the habit of teachers of mathematical analysis, for example, to stick to problems dealing with sequences without limit, uniformly continuous functions, etc. has, unfortunately, led to the writing of textbooks that present prescriptions for the mechanical construction of definitions of negative concepts which seem to obviate the need for any thinking on the reader's part. We are most certainly not able to enumerate everything the reader may draw out of existing books on mathematical logic, however.



Mathematical Logic


Mathematical Logic
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Author : H.-D. Ebbinghaus
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-11-15

Mathematical Logic written by H.-D. Ebbinghaus 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 1996-11-15 with Mathematics categories.


This introduction to first-order logic clearly works out the role of first-order logic in the foundations of mathematics, particularly the two basic questions of the range of the axiomatic method and of theorem-proving by machines. It covers several advanced topics not commonly treated in introductory texts, such as Fraïssé's characterization of elementary equivalence, Lindström's theorem on the maximality of first-order logic, and the fundamentals of logic programming.



The Mathematical Analysis Of Logic


The Mathematical Analysis Of Logic
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Author : George Boole
language : en
Publisher: Literary Licensing, LLC
Release Date : 2014-08-07

The Mathematical Analysis Of Logic written by George Boole and has been published by Literary Licensing, LLC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-07 with categories.


This Is A New Release Of The Original 1847 Edition.



Introduction To Mathematical Logic Extended Edition


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.



The Mathematical Analysis Of Logic


The Mathematical Analysis Of Logic
DOWNLOAD
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 Analysis (Philosophy). categories.