Exploring Topics In The History And Philosophy Of Logic

Author : George Englebretsen
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110435047
Total Pages : 196 pages
Book Rating : 4.47/5 ( download)

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Download or read book Exploring Topics in the History and Philosophy of Logic written by George Englebretsen and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-09-14 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: While post-Fregean logicians tend to ignore or even denigrate the traditional logic of Aristotle and the Scholastics, new work in recent years has shown the viability of a renewed, extended, and strengthened logic of terms that shares fundamental features of the old syllogistic. A number of logicians, following the lead of Fred Sommers, have built just such a term logic. It is a system of formal logic that not only matches the expressive and inferential powers of today’s standard logic, but surpasses it and is far simpler and more natural. This book aims to substantiate this claim by exhibiting just how the term logic can shed need light on a variety of challenges that face any system of formal logic.

Author :
Publisher : Elsevier
ISBN 13 : 9780080466637
Total Pages : 1218 pages
Book Rating : 4.3X/5 ( download)

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Download or read book Philosophy of Logic written by and published by Elsevier. This book was released on 2006-11-29 with total page 1218 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers presented in this volume examine topics of central interest in contemporary philosophy of logic. They include reflections on the nature of logic and its relevance for philosophy today, and explore in depth developments in informal logic and the relation of informal to symbolic logic, mathematical metatheory and the limiting metatheorems, modal logic, many-valued logic, relevance and paraconsistent logic, free logics, extensional v. intensional logics, the logic of fiction, epistemic logic, formal logical and semantic paradoxes, the concept of truth, the formal theory of entailment, objectual and substitutional interpretation of the quantifiers, infinity and domain constraints, the Löwenheim-Skolem theorem and Skolem paradox, vagueness, modal realism v. actualism, counterfactuals and the logic of causation, applications of logic and mathematics to the physical sciences, logically possible worlds and counterpart semantics, and the legacy of Hilbert’s program and logicism. The handbook is meant to be both a compendium of new work in symbolic logic and an authoritative resource for students and researchers, a book to be consulted for specific information about recent developments in logic and to be read with pleasure for its technical acumen and philosophical insights. - Written by leading logicians and philosophers - Comprehensive authoritative coverage of all major areas of contemporary research in symbolic logic - Clear, in-depth expositions of technical detail - Progressive organization from general considerations to informal to symbolic logic to nonclassical logics - Presents current work in symbolic logic within a unified framework - Accessible to students, engaging for experts and professionals - Insightful philosophical discussions of all aspects of logic - Useful bibliographies in every chapter

Author : George Englebretsen
Publisher : A&C Black
ISBN 13 : 1441119116
Total Pages : 209 pages
Book Rating : 4.17/5 ( download)

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Download or read book Philosophical Logic written by George Englebretsen and published by A&C Black. This book was released on 2011-03-24 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces students to non-classical logic, syllogistic, to quantificational and modal logic. The book includes exercises throughout and a glossary of terms and symbols.

Author : Mark Bevir
Publisher : Cambridge University Press
ISBN 13 : 9780521016841
Total Pages : 356 pages
Book Rating : 4.43/5 ( download)

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Download or read book The Logic of the History of Ideas written by Mark Bevir and published by Cambridge University Press. This book was released on 2002-06-20 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Human cultures generate meanings, and the history of ideas, broadly conceived, is the study of these meanings. An adequate theory of culture must therefore rest on a suitable philosophical enquiry into the nature of the history of ideas. Mark Bevir's book explores the forms of reasoning appropriate to the history of ideas, enhancing our understanding by grappling with central questions such as: What is a meaning? What constitutes objective knowledge of the past? What are beliefs and traditions? How can we explain why people held the beliefs they did? The book ranges widely over issues and theorists associated with post-analytic philosophy, post-modernism, hermeneutics, literary theory, political thought, and social theory.

Author : Giuseppe Primiero
Publisher :
ISBN 13 : 9781904987925
Total Pages : 380 pages
Book Rating : 4.23/5 ( download)

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Download or read book Acts of Knowledge written by Giuseppe Primiero and published by . This book was released on 2009 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Editors' vision for this volume is that it should be a selection of essays, contributed by the academics who have worked, studied, collaborated and disagreed with Goran Sundholm; engaging in debated issues and exploring untouched areas maybe only suggested or hinted at in Sundholm's own work. "Acts of Knowledge" characterizes the papers contained in this volume as bringing something scientifically valuable in their respective fields: all the papers present cutting-edge research in their own style, contributing to very lively debates occurring in the literature in logic, philosophical logic and history of logic. But it also hints at Goran's constructivist background, which has been an influence or a challenge for many of the contributors. "History, Philosophy and Logic" refers directly to Goran's broad interests into the various aspects of the Philosophy of Logic, Mathematics, and Language, their origins and development, especially with the focus on the Modern History of Logic and the philosophical implications thereof. The readers will find scattered all along this volume pieces of -- and reflections on -- all these themes.

Author : Alex Malpass
Publisher : Bloomsbury Publishing
ISBN 13 : 1472507177
Total Pages : 256 pages
Book Rating : 4.74/5 ( download)

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Download or read book The History of Philosophical and Formal Logic written by Alex Malpass and published by Bloomsbury Publishing. This book was released on 2017-06-29 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The History of Philosophical and Formal Logic introduces ideas and thinkers central to the development of philosophical and formal logic. From its Aristotelian origins to the present-day arguments, logic is broken down into four main time periods: Antiquity and the Middle Ages (Aristotle and The Stoics) The early modern period (Bolzano, Boole) High modern period (Frege, Peano & Russell and Hilbert) Early 20th century (Godel and Tarski) Each new time frame begins with an introductory overview highlighting themes and points of importance. Chapters discuss the significance and reception of influential works and look at historical arguments in the context of contemporary debates. To support independent study, comprehensive lists of primary and secondary reading are included at the end of chapters, along with exercises and discussion questions. By clearly presenting and explaining the changes to logic across the history of philosophy, The History of Philosophical and Formal Logic constructs an easy-to-follow narrative. This is an ideal starting point for students looking to understand the historical development of logic.

Author : W. D. Hart
Publisher : Cambridge University Press
ISBN 13 : 1139491202
Total Pages : pages
Book Rating : 4.04/5 ( download)

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Download or read book The Evolution of Logic written by W. D. Hart and published by Cambridge University Press. This book was released on 2010-08-23 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines the relations between logic and philosophy over the last 150 years. Logic underwent a major renaissance beginning in the nineteenth century. Cantor almost tamed the infinite, and Frege aimed to undercut Kant by reducing mathematics to logic. These achievements were threatened by the paradoxes, like Russell's. This ferment generated excellent philosophy (and mathematics) by excellent philosophers (and mathematicians) up to World War II. This book provides a selective, critical history of the collaboration between logic and philosophy during this period. After World War II, mathematical logic became a recognized subdiscipline in mathematics departments, and consequently but unfortunately philosophers have lost touch with its monuments. This book aims to make four of them (consistency and independence of the continuum hypothesis, Post's problem, and Morley's theorem) more accessible to philosophers, making available the tools necessary for modern scholars of philosophy to renew a productive dialogue between logic and philosophy.

Author : Theodore Sider
Publisher : Oxford University Press
ISBN 13 : 0192658816
Total Pages : 305 pages
Book Rating : 4.14/5 ( download)

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Download or read book Logic for Philosophy written by Theodore Sider and published by Oxford University Press. This book was released on 2010-01-07 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic for Philosophy is an introduction to logic for students of contemporary philosophy. It is suitable both for advanced undergraduates and for beginning graduate students in philosophy. It covers (i) basic approaches to logic, including proof theory and especially model theory, (ii) extensions of standard logic that are important in philosophy, and (iii) some elementary philosophy of logic. It emphasizes breadth rather than depth. For example, it discusses modal logic and counterfactuals, but does not prove the central metalogical results for predicate logic (completeness, undecidability, etc.) Its goal is to introduce students to the logic they need to know in order to read contemporary philosophical work. It is very user-friendly for students without an extensive background in mathematics. In short, this book gives you the understanding of logic that you need to do philosophy.

Author : N. Rescher
Publisher : Springer
ISBN 13 : 9027700842
Total Pages : 347 pages
Book Rating : 4.41/5 ( download)

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Download or read book Topics in Philosophical Logic written by N. Rescher and published by Springer. This book was released on 1968-07-31 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the book is to introduce the reader to some new areas oflogic which have yet to find their way into the bulk of modern logic books written from the more orthodox direction of the mainstream of develop ments. Such a work seems to me much needed, both because of the in trinsic value and increasing prominence of the nonstandard sector of logic, and because this particular sector is of the greatest interest from the standpoint of philosophical implications and applications. This book unites a series of studies in philosophical logic, drawing for the most part on material which I have contributed to the journal liter ature of the subject over the past ten years. Despite the fact that some of these essays have been published in various journals at different times, they possess a high degree of thematic and methodological unity. All of these studies deal with material of substantial current interest in philo sophical logic and embody a fusion of the modern techniques of logical and linguistic-philosophical analysis for the exploration of areas of logic that are of substantial philosophical relevance.

Author : Jean-Yves Béziau
Publisher : Springer Nature
ISBN 13 : 3030944522
Total Pages : 743 pages
Book Rating : 4.20/5 ( download)

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Download or read book Logic in Question written by Jean-Yves Béziau and published by Springer Nature. This book was released on 2023-01-11 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume collects papers related to the Logic in Question workshop, which has taken place annually at Sorbonne University in Paris since 2011. Each year, the workshop brings together historians, philosophers, mathematicians, linguists, and computer scientists to explore questions related to the nature of logic and how it has developed over the years. As a result, chapter authors provide a thorough, interdisciplinary exploration of topics that have been studied in the workshop. Organized into three sections, the first part of the book focuses on historical questions related to logic, the second explores philosophical questions, and the third section is dedicated to mathematical discussions. Specific topics include: • logic and analogy• Chinese logic• nineteenth century British logic (in particular Boole and Lewis Carroll)• logical diagrams • the place and value of logic in Louis Couturat’s philosophical thinking• contributions of logical analysis for mathematics education• the exceptionality of logic• the logical expressive power of natural languages• the unification of mathematics via topos theory Logic in Question will appeal to pure logicians, historians of logic, philosophers, linguists, and other researchers interested in the history of logic, making this volume a unique and valuable contribution to the field.