Mathematical Logic: Part 1

Propositional Calculus, Boolean Algebras, Predicate Calculus, Completeness Theorems

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Author: René Cori,Daniel Lascar

Publisher: OUP Oxford

ISBN: 0191589772

Category: Mathematics

Page: 360

View: 1250

Logic forms the basis of mathematics, and is hence a fundamental part of any mathematics course. In particular, it is a major element in theoretical computer science and has undergone a huge revival with the explosion of interest in computers and computer science. This book provides students with a clear and accessible introduction to this important subject. The concept of model underlies the whole book, giving the text a theoretical coherence whilst still covering a wide area of logic.

A Course in Mathematical Logic for Mathematicians

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Author: Yu. I. Manin

Publisher: Springer Science & Business Media

ISBN: 1441906150

Category: Mathematics

Page: 384

View: 4436

1. The ?rst edition of this book was published in 1977. The text has been well received and is still used, although it has been out of print for some time. In the intervening three decades, a lot of interesting things have happened to mathematical logic: (i) Model theory has shown that insights acquired in the study of formal languages could be used fruitfully in solving old problems of conventional mathematics. (ii) Mathematics has been and is moving with growing acceleration from the set-theoretic language of structures to the language and intuition of (higher) categories, leaving behind old concerns about in?nities: a new view of foundations is now emerging. (iii) Computer science, a no-nonsense child of the abstract computability theory, has been creatively dealing with old challenges and providing new ones, such as the P/NP problem. Planning additional chapters for this second edition, I have decided to focus onmodeltheory,the conspicuousabsenceofwhichinthe ?rsteditionwasnoted in several reviews, and the theory of computation, including its categorical and quantum aspects. The whole Part IV: Model Theory, is new. I am very grateful to Boris I. Zilber, who kindly agreed to write it. It may be read directly after Chapter II. The contents of the ?rst edition are basically reproduced here as Chapters I–VIII. Section IV.7, on the cardinality of the continuum, is completed by Section IV.7.3, discussing H. Woodin’s discovery.

An Invitation to Model Theory

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Author: Jonathan Kirby

Publisher: Cambridge University Press

ISBN: 1316732398

Category: Mathematics

Page: N.A

View: 7884

Model theory begins with an audacious idea: to consider statements about mathematical structures as mathematical objects of study in their own right. While inherently important as a tool of mathematical logic, it also enjoys connections to and applications in diverse branches of mathematics, including algebra, number theory and analysis. Despite this, traditional introductions to model theory assume a graduate-level background of the reader. In this innovative textbook, Jonathan Kirby brings model theory to an undergraduate audience. The highlights of basic model theory are illustrated through examples from specific structures familiar from undergraduate mathematics, paying particular attention to definable sets throughout. With numerous exercises of varying difficulty, this is an accessible introduction to model theory and its place in mathematics.

Principia Mathematica.

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Author: Alfred North Whitehead,Bertrand Russell

Publisher: N.A

ISBN: N.A

Category: Logic, Symbolic and mathematical

Page: 167

View: 6628

Logik für Dummies

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Author: Mark Zegarelli

Publisher: John Wiley & Sons

ISBN: 3527657444

Category: Mathematics

Page: 358

View: 5264

Logik ist die Basis von Wissenschaft, aber auch eine Br?cke von Wissenschaft zum Alltag. So einfach sie scheint, so anspruchsvoll ist sie im Detail. Mark Zegarelli f?hrt Sie in "Logik f?r Dummies" systematisch in die Logik ein. Vom Paradoxon ?ber symbolische Logik bis zur Syllogistik l?sst er nichts aus und zeigt Ihnen, wie man Argumente pr?ft. Er arbeitet dabei mit anschaulichen Beispielen und schafft es so, dieses abstrakte Thema den Lesern nicht nur verst?ndlich zu machen, sondern ihnen auch Wert und Nutzen von Logik aufzuzeigen. Eine Einf?hrung, die den Wissensdurst stillt und Lust auf mehr macht.

The Journal of Symbolic Logic

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Author: Alonzo Church

Publisher: N.A

ISBN: N.A

Category: Logic, Symbolic and mathematical

Page: N.A

View: 1758

Includes lists of members.

Programmverifikation

Sequentielle, parallele und verteilte Programme

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Author: Krzysztof R. Apt,Ernst-Rüdiger Olderog

Publisher: Springer-Verlag

ISBN: 3642579477

Category: Computers

Page: 258

View: 8201

Beweise und Widerlegungen

Die Logik mathematischer Entdeckungen

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Author: Imre Lakatos

Publisher: Springer-Verlag

ISBN: 3663001962

Category: Mathematics

Page: 163

View: 9133

100 years of mathematics

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Author: George Frederick James Temple

Publisher: Duckbacks

ISBN: N.A

Category: Mathematics

Page: 316

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Naive Mengenlehre

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Author: Paul R. Halmos

Publisher: Vandenhoeck & Ruprecht

ISBN: 9783525405277

Category: Arithmetic

Page: 132

View: 9049

Das Konzept des Modells

Einführung in eine materialistische Epistemologie der Mathematik

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Author: Alain Badiou

Publisher: N.A

ISBN: 9783851325102

Category: Mathematics

Page: 155

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Gesetze der Form

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Author: George Spencer-Brown

Publisher: Joh. Bohmeier Verlag

ISBN: 9783890943213

Category: Algebraic logic

Page: 200

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