Selected Logic Papers

Selected Logic Papers PDF

Author: Willard Van Orman Quine

Publisher: Harvard University Press

Published: 1995

Total Pages: 326

ISBN-13: 9780674798366

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For more than two generations, W. V. Quine has contributed fundamentally to the substance, the pedagogy, and the philosophy of mathematical logic. Selected Logic Papers, long out of print and now reissued with eight additional essays, includes much of the author's important work on mathematical logic and the philosophy of mathematics from the past sixty years.

Selected Logic Papers

Selected Logic Papers PDF

Author: Gerald E Sacks

Publisher: World Scientific

Published: 1999-07-06

Total Pages: 451

ISBN-13: 9814496928

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The author selects 23 of his papers in mathematical logic that pursue definability via priority, forcing, compactness and fine structure applied to classical recursion, hyperarithmetic sets, recursion in objects of finite type, measure, models and E-recursion. His general introduction provides a chronology both personal and technical.

Selected Logic Papers

Selected Logic Papers PDF

Author: Gerald E. Sacks

Publisher: World Scientific

Published: 1999

Total Pages: 460

ISBN-13: 9789810232672

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Contents: Recursive Enumerability and the Jump Operator; On the Degrees Less Than 0'; A Simple Set Which Is Not Effectively Simple; The Recursively Enumerable Degrees Are Dense; Metarecursive Sets (with G Kreisel); Post's Problem, Admissible Ordinals and Regularity; On a Theorem of Lachlan and Marlin; A Minimal Hyperdegree (with R O Gandy); Measure-Theoretic Uniformity in Recursion Theory and Set Theory; Forcing with Perfect Closed Sets; Recursion in Objects of Finite Type; The a-Finite Injury Method (with S G Simpson); Remarks Against Foundational Activity; Countable Admissible Ordinals and Hyperdegrees; The 1-Section of a Type n Object; The k-Section of a Type n Object; Post's Problem, Absoluteness and Recursion in Finite Types; Effective Bounds on Morley Rank; On the Number of Countable Models; Post's Problem in E-Recursion; The Limits of E-Recursive Enumerability; Effective Versus Proper Forcing.

Selected Papers in Logic and Foundations, Didactics, Economics

Selected Papers in Logic and Foundations, Didactics, Economics PDF

Author: Karl Menger

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 343

ISBN-13: 9400993471

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This volume brings together those papers of mine which may be of interest not only to various specialists but also to philosophers. Many of my writings in mathematics were motivated by epistemological considerations; some papers originated in the critique of certain views that at one time dominated the discussions of the Vienna Cirele; others grew out of problems in teaching fundamental ideas of mathematics; sti II others were occasioned by personal relations with economists. Hence a wide range of subjects will be discussed: epistemology, logic, basic concepts of pure and applied mathematics, philosophical ideas resulting from geometric studies, mathematical didactics and, finally, economics. The papers also span a period of more than fifty years. What unifies the various parts of the book is the spirit of searching for the elarification of basic concepts and methods and of articulating hidden ideas and tacit procedures. Part 1 ineludes papers published about 1930 which expound an idea that Carnap, after a short period of opposition in the Cirele, fully adopted ; and, under the name "Princip/e of To/erance", he eloquently formulated it in great generality in his book, Logica/ Syntax of Language (1934), through which it was widely disseminated. "The New Logic" in Chapter 1 furthermore ineludes the first report (I932) to a larger public of Godel's epochal discovery presented among the great logic results of ali time. Chapter 2 is a translation of an often quoted 1930 paper presenting a detailed exposition and critique of intuitionism.

Interactive Logic

Interactive Logic PDF

Author: J. F. A. K. van Benthem

Publisher: Amsterdam University Press

Published: 2007

Total Pages: 363

ISBN-13: 9053563563

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Traditionally, logic has dealt with notions of truth and reasoning. In the past several decades, however, research focus in logic has shifted to the vast field of interactive logic—the domain of logics for both communication and interaction. The main applications of this move are logical approaches to games and social software; the wealth of these applications was the focus of the seventh Augustus de Morgan Workshop in November 2005. This collection of papers from the workshop serves as the initial volume in the new series Texts in Logics and Games—touching on research in logic, mathematics, computer science, and game theory. “A wonderful demonstration of contemporary topics in logic.”—Wiebe van der Hoek, University of Liverpool

Fuzzy Sets, Fuzzy Logic, And Fuzzy Systems: Selected Papers By Lotfi A Zadeh

Fuzzy Sets, Fuzzy Logic, And Fuzzy Systems: Selected Papers By Lotfi A Zadeh PDF

Author: George J Klir

Publisher: World Scientific

Published: 1996-05-30

Total Pages: 842

ISBN-13: 9814499811

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This book consists of selected papers written by the founder of fuzzy set theory, Lotfi A Zadeh. Since Zadeh is not only the founder of this field, but has also been the principal contributor to its development over the last 30 years, the papers contain virtually all the major ideas in fuzzy set theory, fuzzy logic, and fuzzy systems in their historical context. Many of the ideas presented in the papers are still open to further development. The book is thus an important resource for anyone interested in the areas of fuzzy set theory, fuzzy logic, and fuzzy systems, as well as their applications. Moreover, the book is also intended to play a useful role in higher education, as a rich source of supplementary reading in relevant courses and seminars.The book contains a bibliography of all papers published by Zadeh in the period 1949-1995. It also contains an introduction that traces the development of Zadeh's ideas pertaining to fuzzy sets, fuzzy logic, and fuzzy systems via his papers. The ideas range from his 1965 seminal idea of the concept of a fuzzy set to ideas reflecting his current interest in computing with words — a computing in which linguistic expressions are used in place of numbers.Places in the papers, where each idea is presented can easily be found by the reader via the Subject Index.

Fallacies

Fallacies PDF

Author: John Woods

Publisher: College Publications

Published: 2007-01-01

Total Pages: 356

ISBN-13: 9781904987161

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In the past forty years there has been a revolution in logic. There is a widening consensus that mathematical logic has not been a satisfactory theory of argumentation, where argumentation is taken as a means of rational belief-revision and conflict resolution. It is also widely held that the traditional informal fallacies are inadequately analyzed in standard accounts found in the logical writings of the period 1950-1970. Here in nineteen chapters are the classical papers of Woods and Walton published in the decade 1972-1982, and constituting the so-called Woods-Walton Approach to fallacy theory. Originally published as a collection in 1989, the book is now re-issued with a new Forward by Dale Jacquette. Woods and Walton are recognized for their seminal role in reviving the fallacies project in logic and giving to the fallacies research programme much of its evolving character and emphasis. It is one of their principal contentions that the fallacies respond best to theoretical pluralism and that different analytical tools are needed for different fallacies. Again conveniently available in a single volume, these papers are indispensable reading for a new generation of researchers in informal logic, argumentation theory, critical thinking, computer science, linguistics and cognitive psychology. John Woods is also author of The Death of Argument: Fallacies in Agent-Based Reasoning 2005. Douglas Walton is author of A Pragmatic Theory of Fallacy 1995.

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