Mathematical Logic and Its Applications

Mathematical Logic and Its Applications PDF Author: Dimiter G. Skordev
Publisher: Springer Science & Business Media
ISBN: 1461308976
Category : Mathematics
Languages : en
Pages : 366

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Book Description
The Summer School and Conference on Mathematical Logic and its Applications, September 24 - October 4, 1986, Druzhba, Bulgaria, was honourably dedicated to the 80-th anniversary of Kurt Godel (1906 - 1978), one of the greatest scientists of this (and not only of this) century. The main topics of the Meeting were: Logic and the Foundation of Mathematics; Logic and Computer Science; Logic, Philosophy, and the Study of Language; Kurt Godel's life and deed. The scientific program comprised 5 kinds of activities, namely: a) a Godel Session with 3 invited lecturers b) a Summer School with 17 invited lecturers c) a Conference with 13 contributed talks d) Seminar talks (one invited and 12 with no preliminary selection) e) three discussions The present volume reflects an essential part of this program, namely 14 of the invited lectures and all of the contributed talks. Not presented in the volltme remai ned si x of the i nvi ted lecturers who di d not submi t texts: Yu. Ershov - The Language of!:-expressions and its Semantics; S. Goncharov - Mathematical Foundations of Semantic Programming; Y. Moschovakis - Foundations of the Theory of Algorithms; N. Nagornyj - Is Realizability of Propositional Formulae a GBdelean Property; N. Shanin - Some Approaches to Finitization of Mathematical Analysis; V. Uspensky - Algorithms and Randomness - joint with A.N.

Mathematical Logic and Its Applications

Mathematical Logic and Its Applications PDF Author: Dimiter G. Skordev
Publisher: Springer Science & Business Media
ISBN: 1461308976
Category : Mathematics
Languages : en
Pages : 366

Get Book Here

Book Description
The Summer School and Conference on Mathematical Logic and its Applications, September 24 - October 4, 1986, Druzhba, Bulgaria, was honourably dedicated to the 80-th anniversary of Kurt Godel (1906 - 1978), one of the greatest scientists of this (and not only of this) century. The main topics of the Meeting were: Logic and the Foundation of Mathematics; Logic and Computer Science; Logic, Philosophy, and the Study of Language; Kurt Godel's life and deed. The scientific program comprised 5 kinds of activities, namely: a) a Godel Session with 3 invited lecturers b) a Summer School with 17 invited lecturers c) a Conference with 13 contributed talks d) Seminar talks (one invited and 12 with no preliminary selection) e) three discussions The present volume reflects an essential part of this program, namely 14 of the invited lectures and all of the contributed talks. Not presented in the volltme remai ned si x of the i nvi ted lecturers who di d not submi t texts: Yu. Ershov - The Language of!:-expressions and its Semantics; S. Goncharov - Mathematical Foundations of Semantic Programming; Y. Moschovakis - Foundations of the Theory of Algorithms; N. Nagornyj - Is Realizability of Propositional Formulae a GBdelean Property; N. Shanin - Some Approaches to Finitization of Mathematical Analysis; V. Uspensky - Algorithms and Randomness - joint with A.N.

The Development of Symbolic Logic

The Development of Symbolic Logic PDF Author: Arthur Thomas Shearman
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 264

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Book Description


A Survey of Symbolic Logic

A Survey of Symbolic Logic PDF Author: Clarence Irving Lewis
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 440

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Book Description


A Bibliography of Symbolic Logic

A Bibliography of Symbolic Logic PDF Author: Alonzo Church
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 106

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Book Description


The Journal of Symbolic Logic

The Journal of Symbolic Logic PDF Author: Alonzo Church
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 448

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Book Description
Includes lists of members.

Formal Logic: Its Scope and Limits

Formal Logic: Its Scope and Limits PDF Author: Richard C. Jeffrey
Publisher: McGraw-Hill Companies
ISBN: 9780070323162
Category : First-order logic
Languages : en
Pages : 238

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Book Description


An Introduction to Formal Logic

An Introduction to Formal Logic PDF Author: Peter Smith
Publisher: Cambridge University Press
ISBN: 9780521008044
Category : Mathematics
Languages : en
Pages : 370

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Book Description
Formal logic provides us with a powerful set of techniques for criticizing some arguments and showing others to be valid. These techniques are relevant to all of us with an interest in being skilful and accurate reasoners. In this highly accessible book, Peter Smith presents a guide to the fundamental aims and basic elements of formal logic. He introduces the reader to the languages of propositional and predicate logic, and then develops formal systems for evaluating arguments translated into these languages, concentrating on the easily comprehensible 'tree' method. His discussion is richly illustrated with worked examples and exercises. A distinctive feature is that, alongside the formal work, there is illuminating philosophical commentary. This book will make an ideal text for a first logic course, and will provide a firm basis for further work in formal and philosophical logic.

Undecidable Theories

Undecidable Theories PDF Author: Alfred Tarski
Publisher: Dover Books on Mathematics
ISBN: 9780486477039
Category : Mathematics
Languages : en
Pages : 0

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Book Description
This well-known book by the famed logician consists of three treatises: A General Method in Proofs of Undecidability, Undecidability and Essential Undecidability in Mathematics, and Undecidability of the Elementary Theory of Groups. 1953 edition.

Justification Logic

Justification Logic PDF Author: Sergei Artemov
Publisher: Cambridge University Press
ISBN: 1108424910
Category : Mathematics
Languages : en
Pages : 271

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Book Description
Develops a new logic paradigm which emphasizes evidence tracking, including theory, connections to other fields, and sample applications.

Logic as a Liberal Art

Logic as a Liberal Art PDF Author: R. E. Houser
Publisher: Catholic University of America Press
ISBN: 0813232341
Category : Philosophy
Languages : en
Pages : 481

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Book Description
In the twenty-first century there are two ways to study logic. The more recent approach is symbolic logic. The history of teaching logic since World War II, however, casts doubt on the idea that symbolic logic is best for a first logic course. Logic as a Liberal Art is designed as part of a minority approach, teaching logic in the "verbal" way, in the student's "natural" language, the approach invented by Aristotle. On utilitarian grounds alone, this "verbal" approach is superior for a first course in logic, for the whole range of students. For millennia, this "verbal" approach to logic was taught in conjunction with grammar and rhetoric, christened the trivium. The decline in teaching grammar and rhetoric in American secondary schools has led Dr. Rollen Edward Houser to develop this book. The first part treats grammar, rhetoric, and the essential nature of logic. Those teachers who look down upon rhetoric are free, of course, to skip those lessons. The treatment of logic itself follows Aristotle's division of the three acts of the mind (Prior Analytics 1.1). Formal logic is then taken up in Aristotle's order, with Parts on the logic of Terms, Propositions, and Arguments. The emphasis in Logic as a Liberal Art is on learning logic through doing problems. Consequently, there are more problems in each lesson than would be found, for example, in many textbooks. In addition, a special effort has been made to have easy, medium, and difficult problems in each Problem Set. In this way the problem sets are designed to offer a challenge to all students, from those most in need of a logic course to the very best students.