Elements Of Mathematical Logic
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Elements Of Mathematical Logic
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Author : Lev D. Beklemishev
language : en
Publisher: Elsevier
Release Date : 2000-04-01
Elements Of Mathematical Logic written by Lev D. Beklemishev and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-04-01 with Computers categories.
Elements of Mathematical Logic
Elements Of Mathematical Logic And Set Theory
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Author : Jerzy Słupecki
language : en
Publisher: Pergamon
Release Date : 1967
Elements Of Mathematical Logic And Set Theory written by Jerzy Słupecki and has been published by Pergamon this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Mathematics categories.
Mathematical Logic
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Author : Wei Li
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-02-26
Mathematical Logic written by Wei Li 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 2010-02-26 with Mathematics categories.
Mathematical logic is a branch of mathematics that takes axiom systems and mathematical proofs as its objects of study. This book shows how it can also provide a foundation for the development of information science and technology. The first five chapters systematically present the core topics of classical mathematical logic, including the syntax and models of first-order languages, formal inference systems, computability and representability, and Gödel’s theorems. The last five chapters present extensions and developments of classical mathematical logic, particularly the concepts of version sequences of formal theories and their limits, the system of revision calculus, proschemes (formal descriptions of proof methods and strategies) and their properties, and the theory of inductive inference. All of these themes contribute to a formal theory of axiomatization and its application to the process of developing information technology and scientific theories. The book also describes the paradigm of three kinds of language environments for theories and it presents the basic properties required of a meta-language environment. Finally, the book brings these themes together by describing a workflow for scientific research in the information era in which formal methods, interactive software and human invention are all used to their advantage. This book represents a valuable reference for graduate and undergraduate students and researchers in mathematics, information science and technology, and other relevant areas of natural sciences. Its first five chapters serve as an undergraduate text in mathematical logic and the last five chapters are addressed to graduate students in relevant disciplines.
Elements Of Mathematical Logic
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Author : Jan Lukasiewicz
language : en
Publisher:
Release Date : 1991
Elements Of Mathematical Logic written by Jan Lukasiewicz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.
Elements Of Mathematical Logic
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Author : Georg Kreisel
language : en
Publisher:
Release Date : 1967
Elements Of Mathematical Logic written by Georg Kreisel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Logic, Symbolic and mathematical categories.
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.
Elements Of Logic Via Numbers And Sets
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Author : D.L. Johnson
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-09-25
Elements Of Logic Via Numbers And Sets written by D.L. Johnson 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 1998-09-25 with Mathematics categories.
In mathematics we are interested in why a particular formula is true. Intuition and statistical evidence are insufficient, so we need to construct a formal logical proof. The purpose of this book is to describe why such proofs are important, what they are made of, how to recognize valid ones, how to distinguish different kinds, and how to construct them. This book is written for 1st year students with no previous experience of formulating proofs. Dave Johnson has drawn from his considerable experience to provide a text that concentrates on the most important elements of the subject using clear, simple explanations that require no background knowledge of logic. It gives many useful examples and problems, many with fully-worked solutions at the end of the book. In addition to a comprehensive index, there is also a useful `Dramatis Personae` an index to the many symbols introduced in the text, most of which will be new to students and which will be used throughout their degree programme.
Elements Of Mathematical Logic
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Author : Jan Łukasiewicz
language : en
Publisher:
Release Date : 1968
Elements Of Mathematical Logic written by Jan Łukasiewicz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Logic, Symbolic and mathematical categories.
Elements Of Mathematical Logic
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Author : Petr Sergeevich Novikov
language : en
Publisher:
Release Date : 1964
Elements Of Mathematical Logic written by Petr Sergeevich Novikov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Logic, Symbolic and mathematical categories.
Modern Mathematical Logic
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Author : Joseph Mileti
language : en
Publisher: Cambridge University Press
Release Date : 2022-09-22
Modern Mathematical Logic written by Joseph Mileti 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 2022-09-22 with Mathematics categories.
This textbook gives a complete and modern introduction to mathematical logic. The author uses contemporary notation, conventions, and perspectives throughout, and emphasizes interactions with the rest of mathematics. In addition to covering the basic concepts of mathematical logic and the fundamental material on completeness, compactness, and incompleteness, it devotes significant space to thorough introductions to the pillars of the modern subject: model theory, set theory, and computability. Requiring only a modest background of undergraduate mathematics, the text can be readily adapted for a variety of one- or two-semester courses at the upper-undergraduate or beginning-graduate level. Numerous examples reinforce the key ideas and illustrate their applications, and a wealth of classroom-tested exercises serve to consolidate readers' understanding. Comprehensive and engaging, this book offers a fresh approach to this enduringly fascinating and important subject.