Logic A Brief Course
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Logic A Brief Course
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Author : Daniele Mundici
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-03-29
Logic A Brief Course written by Daniele Mundici 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 2012-03-29 with Mathematics categories.
This short book, geared towards undergraduate students of computer science and mathematics, is specifically designed for a first course in mathematical logic. A proof of Gödel's completeness theorem and its main consequences is given using Robinson's completeness theorem and Gödel's compactness theorem for propositional logic. The reader will familiarize himself with many basic ideas and artifacts of mathematical logic: a non-ambiguous syntax, logical equivalence and consequence relation, the Davis-Putnam procedure, Tarski semantics, Herbrand models, the axioms of identity, Skolem normal forms, nonstandard models and, interestingly enough, proofs and refutations viewed as graphic objects. The mathematical prerequisites are minimal: the book is accessible to anybody having some familiarity with proofs by induction. Many exercises on the relationship between natural language and formal proofs make the book also interesting to a wide range of students of philosophy and linguistics.
A Course On Mathematical Logic
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Author : Shashi Mohan Srivastava
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-01-16
A Course On Mathematical Logic written by Shashi Mohan Srivastava 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 2013-01-16 with Mathematics categories.
This is a short, modern, and motivated introduction to mathematical logic for upper undergraduate and beginning graduate students in mathematics and computer science. Any mathematician who is interested in getting acquainted with logic and would like to learn Gödel’s incompleteness theorems should find this book particularly useful. The treatment is thoroughly mathematical and prepares students to branch out in several areas of mathematics related to foundations and computability, such as logic, axiomatic set theory, model theory, recursion theory, and computability. In this new edition, many small and large changes have been made throughout the text. The main purpose of this new edition is to provide a healthy first introduction to model theory, which is a very important branch of logic. Topics in the new chapter include ultraproduct of models, elimination of quantifiers, types, applications of types to model theory, and applications to algebra, number theory and geometry. Some proofs, such as the proof of the very important completeness theorem, have been completely rewritten in a more clear and concise manner. The new edition also introduces new topics, such as the notion of elementary class of structures, elementary diagrams, partial elementary maps, homogeneous structures, definability, and many more.
A Course In Mathematical Logic
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Author : Yu.I. Manin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
A Course In Mathematical Logic written by Yu.I. Manin 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 2013-06-29 with Mathematics categories.
1. This book is above all addressed to mathematicians. It is intended to be a textbook of mathematical logic on a sophisticated level, presenting the reader with several of the most significant discoveries of the last ten or fifteen years. These include: the independence of the continuum hypothe sis, the Diophantine nature of enumerable sets, the impossibility of finding an algorithmic solution for one or two old problems. All the necessary preliminary material, including predicate logic and the fundamentals of recursive function theory, is presented systematically and with complete proofs. We only assume that the reader is familiar with "naive" set theoretic arguments. In this book mathematical logic is presented both as a part of mathe matics and as the result of its self-perception. Thus, the substance of the book consists of difficult proofs of subtle theorems, and the spirit of the book consists of attempts to explain what these theorems say about the mathematical way of thought. Foundational problems are for the most part passed over in silence. Most likely, logic is capable of justifying mathematics to no greater extent than biology is capable of justifying life. 2. The first two chapters are devoted to predicate logic. The presenta tion here is fairly standard, except that semantics occupies a very domi nant position, truth is introduced before deducibility, and models of speech in formal languages precede the systematic study of syntax.
A First Course In Logic
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Author : Mark Verus Lawson
language : en
Publisher: CRC Press
Release Date : 2018-12-07
A First Course In Logic written by Mark Verus Lawson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-07 with Mathematics categories.
A First Course in Logic is an introduction to first-order logic suitable for first and second year mathematicians and computer scientists. There are three components to this course: propositional logic; Boolean algebras; and predicate/first-order, logic. Logic is the basis of proofs in mathematics — how do we know what we say is true? — and also of computer science — how do I know this program will do what I think it will? Surprisingly little mathematics is needed to learn and understand logic (this course doesn't involve any calculus). The real mathematical prerequisite is an ability to manipulate symbols: in other words, basic algebra. Anyone who can write programs should have this ability.
First Course In Mathematical Logic
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Author : Patrick Suppes
language : en
Publisher: Courier Corporation
Release Date : 2012-04-30
First Course In Mathematical Logic written by Patrick Suppes and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-30 with Mathematics categories.
Rigorous introduction is simple enough in presentation and context for wide range of students. Symbolizing sentences; logical inference; truth and validity; truth tables; terms, predicates, universal quantifiers; universal specification and laws of identity; more.
Logic
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Author : W.H. Newton-Smith
language : en
Publisher: Routledge
Release Date : 2003-10-04
Logic written by W.H. Newton-Smith and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10-04 with Philosophy categories.
A complete introduction to logic for first-year university students with no background in logic, philosophy or mathematics. In easily understood steps it shows the mechanics of the formal analysis of arguments.
A Crash Course In Logic
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Author : Maughn Gregory
language : en
Publisher: University Press of America
Release Date : 1999
A Crash Course In Logic written by Maughn Gregory and has been published by University Press of America this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
Crash Course in Logic is a booklet designed to introduce basic principles of logic and critical thinking to students so they can better express their ideas. Many high school and college students have trouble constructing theoretical arguments and writing clearly because they are not acquainted with the forms of reasoning that are presented in this booklet. Intended as a supplement to other instructional material for a variety of courses, this booklet will guide students through a mini-course on logic that includes many examples and exercises. With knowledge of the basic forms of reasoning, students will have the tools necessary to solve problems and evaluate arguments as well as articulate their own ideas and insights clearly. Crash Course in Logic will be of great value to teachers of any subject who are searching for an accessible way to teach critical thinking and reasoning to their students.
Mathematical Logic
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Author : Joel W. Robbin
language : en
Publisher: Courier Dover Publications
Release Date : 2006-07-07
Mathematical Logic written by Joel W. Robbin and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-07 with Mathematics categories.
This self-contained text will appeal to readers from diverse fields and varying backgrounds. Topics include 1st-order recursive arithmetic, 1st- and 2nd-order logic, and the arithmetization of syntax. Numerous exercises; some solutions. 1969 edition.
The Logic Course
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Author : Steven Dehaven
language : en
Publisher: Peterborough, Ont. : Broadview Press
Release Date : 1995
The Logic Course written by Steven Dehaven and has been published by Peterborough, Ont. : Broadview Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Philosophy categories.
A Course In Mathematical Logic
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Author : I͡U. I. Manin
language : en
Publisher: Springer Science & Business Media
Release Date : 1977
A Course In Mathematical Logic written by I͡U. I. Manin 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 1977 with Mathematics categories.
Offers a text of mathematical logic on a sophisticated level, presenting the reader with several of the most significant discoveries, including the independence of the continuum hypothesis, the Diophantine nature of enumerable sets and the impossibility of finding an algorithmic solution for certain problems.