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Logic and Structure

Posted By: AvaxGenius
Date: 11 Jul 2022 03:50:22
Logic and Structure

Logic and Structure by Dirk Dalen
English | PDF | 2004 | 275 Pages | ISBN : 3540208798 | 4.2 MB

A book which efficiently presents the basics of propositional and predicate logic, van Dalen’s popular textbook contains a complete treatment of elementary classical logic, using Gentzen’s Natural Deduction. Propositional and predicate logic are treated in separate chapters in a leisured but precise way. Chapter Three presents the basic facts of model theory, e.g. compactness, Skolem-Löwenheim, elementary equivalence, non-standard models, quantifier elimination, and Skolem functions.
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Sets, Logic and Categories

Posted By: AvaxGenius
Date: 10 Jul 2022 04:11:44
Sets, Logic and Categories

Sets, Logic and Categories by Peter J. Cameron
English | PDF | 1998 | 191 Pages | ISBN : 1852330562 | 14.8 MB

Set theory, logic and category theory lie at the foundations of mathematics, and have a dramatic effect on the mathematics that we do, through the Axiom of Choice, Gödel's Theorem, and the Skolem Paradox. But they are also rich mathematical theories in their own right, contributing techniques and results to working mathematicians such as the Compactness Theorem and module categories. The book is aimed at those who know some mathematics and want to know more about its building blocks. Set theory is first treated naively an axiomatic treatment is given after the basics of first-order logic have been introduced. The discussion is su pported by a wide range of exercises. The final chapter touches on philosophical issues. The book is supported by a World Wibe Web site containing a variety of supplementary material.
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Logic and Structure

Posted By: AvaxGenius
Date: 9 Jul 2022 14:36:15
Logic and Structure

Logic and Structure, Third Edition by Dirk Dalen
English | PDF | 1994 | 225 Pages | ISBN : 3540578390 | 17.8 MB

A book which efficiently presents the basics of propositional and predicate logic, van Dalen’s popular textbook contains a complete treatment of elementary classical logic, using Gentzen’s Natural Deduction. Propositional and predicate logic are treated in separate chapters in a leisured but precise way. Chapter Three presents the basic facts of model theory, e.g. compactness, Skolem-Löwenheim, elementary equivalence, non-standard models, quantifier elimination, and Skolem functions.
Details

Logic and Structure

Posted By: AvaxGenius
Date: 9 Jul 2022 14:31:52
Logic and Structure

Logic and Structure by Dirk Dalen
English | PDF | 1980 | 182 Pages | ISBN : 3540098933 | 11.4 MB

A book which efficiently presents the basics of propositional and predicate logic, van Dalen’s popular textbook contains a complete treatment of elementary classical logic, using Gentzen’s Natural Deduction. Propositional and predicate logic are treated in separate chapters in a leisured but precise way. Chapter Three presents the basic facts of model theory, e.g. compactness, Skolem-Löwenheim, elementary equivalence, non-standard models, quantifier elimination, and Skolem functions.
Details

New Computational Paradigms: Changing Conceptions of What is Computable

Posted By: AvaxGenius
Date: 13 Dec 2021 07:43:01
New Computational Paradigms: Changing Conceptions of What is Computable

New Computational Paradigms: Changing Conceptions of What is Computable by S. Barry Cooper
English | PDF | 2008 | 555 Pages | ISBN : 0387360336 | 5.2 MB

In recent years, classical computability has expanded beyond its original scope to address issues related to computability and complexity in algebra, analysis, and physics. The deep interconnection between "computation" and "proof" has originated much of the most significant work in constructive mathematics and mathematical logic of the last 70 years. Moreover, the increasingly compelling necessity to deal with computability in the real world (such as computing on continuous data, biological computing, and physical models) has brought focus to new paradigms of computation that are based on biological and physical models. These models address questions of efficiency in a radically new way and even threaten to move the so-called Turing barrier, i.e. the line between the decidable and the un-decidable.
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Introduction to Mathematical Logic: Set Theory Computable Functions Model Theory

Posted By: AvaxGenius
Date: 1 Jul 2021 00:06:20
Introduction to Mathematical Logic: Set Theory Computable Functions Model Theory

Introduction to Mathematical Logic: Set Theory Computable Functions Model Theory by Jerome Malitz
English | PDF | 1979 | 209 Pages | ISBN : 0387903461 | 16.5 MB

This book is intended as an undergraduate senior level or beginning graduate level text for mathematical logic. There are virtually no prere­ quisites, although a familiarity with notions encountered in a beginning course in abstract algebra such as groups, rings, and fields will be useful in providing some motivation for the topics in Part III.
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Logic and Structure Ed 5 (repost)

Posted By: arundhati
Date: 2 Jul 2020 03:25:27
Logic and Structure Ed 5 (repost)

Dirk van Dalen, "Logic and Structure Ed 5"
English | ISBN: 1447145577 | 2013 | 273 pages | PDF | 3 MB
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