The Many Sides of Logic
The Many Sides of Logic

Author: Walter Alexandre Carnielli

Publisher:

Published: 2009

Total Pages: 594

ISBN-13:

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The ``Many Sides of Logic'' is a volume containing a selection of the papers delivered at three simultaneous events held between 11-17 May 2008 in Paraty, RJ, Brazil, continuing a tradition of three decades of Brazilian and Latin-American meetings and celebrating the 30th anniversary of an institution congenital with the mature interest for logic, epistemology and history of sciences in Brazil: CLE 30 - 30th Anniversary of the Centre for Logic, Epistemology and the History of Science at the State University of Campinas (UNICAMP) XV EBL -15th Brazilian Logic Conference XIV SLALM - 14th Latin-American Symposium on Mathematical Logic Several renowned logicians, philosophers and mathematicians gathered in colonial Paraty, a historic village on the Brazilian coast founded in the 17th Century and surrounded by the luscious Atlantic rain forest to deliver lectures and talks celebrating the many sides of logic: the philosophical, the mathematical, the computational, the historical, and the multiple facets therein. The topics of the joint conferences, well represented here, included philosophical and mathematical Logic and applications with emphasis on model theory and proof theory, set theory, non-classical logics and applications, history and philosophy of logic, philosophy of the formal sciences and issues on the foundations of mathematics. The events have been preceded by a Logic School planned for students and young researchers held at the UNICAMP campus in Campinas, SP.

Many Sides: A Protagorean Approach to the Theory, Practice and Pedagogy of Argument
Many Sides: A Protagorean Approach to the Theory, Practice and Pedagogy of Argument

Author: M. Mendelson

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 336

ISBN-13: 9401598908

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Many Sides is the first full-length study of Protagorean antilogic, an argumentative practice with deep roots in rhetorical history and renewed relevance for contemporary culture. Founded on the philosophical relativism of Protagoras, antilogic is a dynamic rather than a formal approach to argument, focused principally on the dialogical interaction of opposing positions (anti-logoi) in controversy. In ancient Athens, antilogic was the cardinal feature of Sophistic rhetoric. In Rome, Cicero redefined Sophistic argument in a concrete set of dialogical procedures. In turn, Quintilian inherited this dialogical tradition and made it the centrepiece of his own rhetorical practice and pedagogy. Many Sides explores the history, theory, and pedagogy of this neglected rhetorical tradition and, by appeal to recent rhetorical and philosophical theory, reconceives the enduring features of antilogical practice in a dialogical approach to argumentation especially suited to the pluralism of our own age and the diversity of modern classrooms.

Logic, Language, Information and Computation
Logic, Language, Information and Computation

Author: Hiroakira Ono

Publisher: Springer Science & Business Media

Published: 2009-05-27

Total Pages: 418

ISBN-13: 364202260X

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Edited in collaboration with FoLLI, the Association of Logic, Language and Information, this book constitutes the 4th volume of the FoLLI LNAI subline; containing the refereed proceedings of the 16h International Workshop on Logic, Language, Information and Computation, WoLLIC 2009, held in Tokyo, Japan, in June 2009. The 25 revised full papers presented together with six tutorials and invited talks were carefully reviewed and selected from 57 submissions. The papers cover some of the most active areas of research on the frontiers between computation, logic, and linguistics, with particular interest in cross-disciplinary topics. Typical areas of interest are: foundations of computing and programming; novel computation models and paradigms; broad notions of proof and belief; formal methods in software and hardware development; logical approach to natural language and reasoning; logics of programs, actions and resources; foundational aspects of information organization, search, flow, sharing, and protection.

Many Sides
Many Sides

Author: Alfred Snider

Publisher: IDEA

Published: 2002

Total Pages: 288

ISBN-13: 9780970213044

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This book is an all-in-one introduction to both the theory and practice of democracy, aimed at upper level high school and university students and civic-minded adults in both old and new democracies. Portions of the book are from the Democracy is a Discussion handbooks.

Logic: A History of its Central Concepts
Logic: A History of its Central Concepts

Author: Dov M. Gabbay

Publisher: Newnes

Published: 2012-12-31

Total Pages: 706

ISBN-13: 0080931707

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The Handbook of the History of Logic is a multi-volume research instrument that brings to the development of logic the best in modern techniques of historical and interpretative scholarship. It is the first work in English in which the history of logic is presented so extensively. The volumes are numerous and large. Authors have been given considerable latitude to produce chapters of a length, and a level of detail, that would lay fair claim on the ambitions of the project to be a definitive research work. Authors have been carefully selected with this aim in mind. They and the Editors join in the conviction that a knowledge of the history of logic is nothing but beneficial to the subject's present-day research programmes. One of the attractions of the Handbook's several volumes is the emphasis they give to the enduring relevance of developments in logic throughout the ages, including some of the earliest manifestations of the subject. - Covers in depth the notion of logical consequence - Discusses the central concept in logic of modality - Includes the use of diagrams in logical reasoning

Logic and How it Gets That Way
Logic and How it Gets That Way

Author: Dale Jacquette

Publisher: Routledge

Published: 2014-09-19

Total Pages: 321

ISBN-13: 1317546547

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In this challenging and provocative analysis, Dale Jacquette argues that contemporary philosophy labours under a number of historically inherited delusions about the nature of logic and the philosophical significance of certain formal properties of specific types of logical constructions. Exposing some of the key misconceptions about formal symbolic logic and its relation to thought, language and the world, Jacquette clears the ground of some very well-entrenched philosophical doctrines about the nature of logic, including some of the most fundamental seldom-questioned parts of elementary propositional and predicate-quantificational logic. Having presented difficulties for conventional ways of thinking about truth functionality, the metaphysics of reference and predication, the role of a concept of truth in a theory of meaning, among others, Jacquette proceeds to reshape the network of ideas about traditional logic that philosophy has acquired along with modern logic itself. In so doing Jacquette is able to offer a new perspective on a number of existing problems in logic and philosophy of logic.

Logic's Lost Genius
Logic's Lost Genius

Author: Eckart Menzler-Trott

Publisher: American Mathematical Soc.

Published: 2016-05-05

Total Pages: 466

ISBN-13: 1470428121

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Gerhard Gentzen (1909–1945) is the founder of modern structural proof theory. His lasting methods, rules, and structures resulted not only in the technical mathematical discipline called “proof theory” but also in verification programs that are essential in computer science. The appearance, clarity, and elegance of Gentzen's work on natural deduction, the sequent calculus, and ordinal proof theory continue to be impressive even today. The present book gives the first comprehensive, detailed, accurate scientific biography expounding the life and work of Gerhard Gentzen, one of our greatest logicians, until his arrest and death in Prague in 1945. Particular emphasis in the book is put on the conditions of scientific research, in this case mathematical logic, in National Socialist Germany, the ideological fight for “German logic”, and their mutual protagonists. Numerous hitherto unpublished sources, family documents, archival material, interviews, and letters, as well as Gentzen's lectures for the mathematical public, make this book an indispensable source of information on this important mathematician, his work, and his time. The volume is completed by two deep substantial essays by Jan von Plato and Craig Smoryński on Gentzen's proof theory; its relation to the ideas of Hilbert, Brouwer, Weyl, and Gödel; and its development up to the present day. Smoryński explains the Hilbert program in more than the usual slogan form and shows why consistency is important. Von Plato shows in detail the benefits of Gentzen's program. This important book is a self-contained starting point for any work on Gentzen and his logic. The book is accessible to a wide audience with different backgrounds and is suitable for general readers, researchers, students, and teachers.

In Defense of Informal Logic
In Defense of Informal Logic

Author: D.S. Levi

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 244

ISBN-13: 9401718504

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My impulse when I decided to collect into a single volume the essays on topics in logical theory and related subjects that I have written in the last fifteen years was to borrow from the title of a work by Sextus Empiricus, and call my collection "Against the Logicians." Although the essays address a variety of problems that interest me, the thread that runs through them is a scepticism about how logicians see things. So, the title appealed to me. However, I had second thoughts and chose instead a title of one of my own essays, "In Defense of Informal Logic", which emphasizes my support for other approaches. Although my criticisms of logical theory are designed to cut deeply, I do not want to be unresponsive to the needs that it is supposed to satisfy. However, my position that we have adequate resources for critically analyzing a particular argument and 00 not need a theory of argumentation, will not completely satisfy those who think that there is a need for it. So, I want them to know that I am taking their concerns seriously.

Performing the Body/Performing the Text
Performing the Body/Performing the Text

Author: Amelia Jones

Publisher: Routledge

Published: 2005-08-12

Total Pages: 322

ISBN-13: 1134655932

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This book explores the new performativity in art theory and practice, examining ways of rethinking interpretive processes in visual culture. Since the 1960s, visual art practices - from body art to minimalism - have taken contemporary art outside the museum and gallery; by embracing theatricality and performance and exploding the boundaries set by traditional art criticism. The contributors argue that interpretation needs to be recognised as much more dynamic and contingent. Offering its own performance script, and embracing both canonical fine artists such as Manet, De Kooning and Jasper Johns, and performance artists such as Vito Acconci and Gunter Brus, this book offers radical re-readings of art works and points confidently towards new models for understanding art.