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By W. V. QUINE,W. V Quine ISBN Code: : 0674042441
 Publisher : Harvard University Press
 Pages : 128
 Category : Philosophy
 Reads : 291
 Book Compatibility : Pdf, ePub, Mobi, Kindle
 Pdf : philosophyoflogic2ndedition.pdf
Book Excerpt :
With his customary incisiveness, W. V. Quine presents logic as the product of two factors, truth and grammarbut argues against the doctrine that the logical truths are true because of grammar or language. Rather, in presenting a general theory of grammar and discussing the boundaries and possible extensions of logic, Quine argues that logic is not a mere matter of words.
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 Pdf File: theoxfordhandbookofphilosophyofmathematicsandlogic.pdf
Book Short Summary:
Mathematics and logic have been central topics of concern since the dawn of philosophy. Since logic is the study of correct reasoning, it is a fundamental branch of epistemology and a priority in any philosophical system. Philosophers have focused on mathematics as a case study for general philosophical issues and for its role in overall knowledge gathering. Today, philosophy of mathematics and logic remain central disciplines in contemporary philosophy, as evidenced by the regular appearance of articles on these topics in the best mainstream philosophical journals; in fact, the last decade has seen an explosion of scholarly work in these areas. This volume covers these disciplines in a comprehensive and accessible manner, giving the reader an overview of the major problems, positions, and battle lines. The 26 contributed chapters are by established experts in the field, and their articles contain both exposition and criticism as well as substantial development of their own positions. The essays, which are substantially selfcontained, serve both to introduce the reader to the subject and to engage in it at its frontiers. Certain major positions are represented by two chaptersone supportive and one critical. The Oxford Handbook of Philosophy of Math and Logic is a groundbreaking reference like no other in its field. It is a central resource to those wishing to learn about the philosophy of mathematics and the philosophy of logic, or some aspect thereof, and to those who actively engage in the discipline, from advanced undergraduates to professional philosophers, mathematicians, and historians.
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 Publisher : Oxford University Press
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 Pdf File: theoxfordhandbookofphilosophyofmathematicsandlogic.pdf
Book Short Summary:
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 Pdf File: daocompaniontochinesephilosophyoflogic.pdf
Book Short Summary:
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 Publisher : Oxford University Press
 Book Code : 0192658816
 Total of Pages : 289
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 Pdf File: logicforphilosophy.pdf
Book Short Summary:
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 Pdf File: philosophicallogic.pdf
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 Pdf File: theageofalternativelogics.pdf
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 Pdf File: grammarphilosophyandlogic.pdf
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 Pdf File: philosophicalandmathematicallogic.pdf
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 Pdf File: advancesinexperimentalphilosophyoflogicandmathematics.pdf
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 Pdf File: newwavesinphilosophicallogic.pdf
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 Pdf File: philosophyslossoflogictomathematics.pdf
Book Short Summary:
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 Publisher : Oxford University Press
 Book Code : 9780199722723
 Total of Pages : 1008
 Category : Philosophy
 Members : 309
 Pdf File: thedevelopmentofmodernlogic.pdf
Book Short Summary:
This edited volume presents a comprehensive history of modern logic from the Middle Ages through the end of the twentieth century. In addition to a history of symbolic logic, the contributors also examine developments in the philosophy of logic and philosophical logic in modern times. The book begins with chapters on late medieval developments and logic and philosophy of logic from Humanism to Kant. The following chapters focus on the emergence of symbolic logic with special emphasis on the relations between logic and mathematics, on the one hand, and on logic and philosophy, on the other. This discussion is completed by a chapter on the themes of judgment and inference from 18371936. The volume contains a section on the development of mathematical logic from 19001935, followed by a section on main trends in mathematical logic after the 1930s. The volume goes on to discuss modal logic from Kant till the late twentieth century, and logic and semantics in the twentieth century; the philosophy of alternative logics; the philosophical aspects of inductive logic; the relations between logic and linguistics in the twentieth century; the relationship between logic and artificial intelligence; and ends with a presentation of the main schools of Indian logic. The Development of Modern Logic includes many prominent philosophers from around the world who work in the philosophy and history of mathematics and logic, who not only survey developments in a given period or area but also seek to make new contributions to contemporary research in the field. It is the first volume to discuss the field with this breadth of coverage and depth, and will appeal to scholars and students of logic and its philosophy.
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 Pdf File: logicmethodologyandphilosophyofsciencevi.pdf
Book Short Summary:
Logic, Methodology and Philosophy of Science VI presents the results of recent research into the foundations of science. The volume contains invited papers presented at the Congress, covering the areas of Logic, Mathematics, Physical Sciences, Biological Sciences and the Humanities.
Dictionary of Philosophical Logic
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 Publisher : Edinburgh University Press
 Book Code : 0748631976
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 Pdf File: dictionaryofphilosophicallogic.pdf
Book Short Summary:
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 Publisher : Cambridge University Press
 Book Code : 1108601545
 Total of Pages :
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 Pdf File: thelogicinphilosophyofscience.pdf
Book Short Summary:
Major figures of twentiethcentury philosophy were enthralled by the revolution in formal logic, and many of their arguments are based on novel mathematical discoveries. Hilary Putnam claimed that the LöwenheimSkølem theorem refutes the existence of an objective, observerindependent world; Bas van Fraassen claimed that arguments against empiricism in philosophy of science are ineffective against a semantic approach to scientific theories; W. V. O. Quine claimed that the distinction between analytic and synthetic truths is trivialized by the fact that any theory can be reduced to one in which all truths are analytic. This book dissects these and other arguments through indepth investigation of the mathematical facts undergirding them. It presents a systematic, mathematically rigorous account of the key notions arising from such debates, including theory, equivalence, translation, reduction, and model. The result is a farreaching reconceptualization of the role of formal methods in answering philosophical questions.
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 Pdf File: thephilosophyoflogicalmechanism.pdf
Book Short Summary:
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This book offers a comprehensive critical survey of issues of historical interpretation and evaluation in Bertrand Russell's 1918 logical atomism lectures and logical atomism itself. These lectures record the culmination of Russell's thought in response to discussions with Wittgenstein on the nature of judgement and philosophy of logic and with Moore and other philosophical realists about epistemology and ontological atomism, and to Whitehead and Russell’s novel extension of revolutionary nineteenthcentury work in mathematics and logic. Russell's logical atomism lectures have had a lasting impact on analytic philosophy and on Russell's contemporaries including Carnap, Ramsey, Stebbing, and Wittgenstein. Comprised of 14 original essays, this book will demonstrate how the direct and indirect influence of these lectures thus runs deep and wide.
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 Pdf File: logicmethodologyandphilosophyofscienceix.pdf
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This volume is the product of the Proceedings of the 9th International Congress of Logic, Methodology and Philosophy of Science and contains the text of most of the invited lectures. Divided into 15 sections, the book covers a wide range of different issues. The reader is given the opportunity to learn about the latest thinking in relevant areas other than those in which they themselves may normally specialise.
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 Publisher : Springer Science & Business Media
 Book Code : 9401735468
 Total of Pages : 347
 Category : Philosophy
 Members : 795
 Pdf File: topicsinphilosophicallogic.pdf
Book Short Summary:
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 linguisticphilosophical analysis for the exploration of areas of logic that are of substantial philosophical relevance.
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 Publisher : Springer
 Book Code : 3034808313
 Total of Pages : 228
 Category : Mathematics
 Members : 663
 Pdf File: thephilosophyofmathematicsandlogicinthe1920sand1930sinpoland.pdf
Book Short Summary:
The aim of this book is to present and analyze philosophical conceptions concerning mathematics and logic as formulated by Polish logicians, mathematicians and philosophers in the 1920s and 1930s. It was a remarkable period in the history of Polish science, in particular in the history of Polish logic and mathematics. Therefore, it is justified to ask whether and to what extent the development of logic and mathematics was accompanied by a philosophical reflection. We try to answer those questions by analyzing both works of Polish logicians and mathematicians who have a philosophical temperament as well as their research practice. Works and philosophical views of the following Polish scientists will be analyzed: Wacław Sierpiński, Zygmunt Janiszewski, Stefan Mazurkiewicz, Stefan Banach Hugo Steinhaus, Eustachy Żylińsk and Leon Chwistek, Jan Łukasiewicz, Zygmunt Zawirski, Stanisław Leśniewski, Tadeusz Kotarbiński, Kazimierz Ajdukiewicz, Alfred Tarski, Andrzej Mostowski and Henryk Mehlberg, Jan Sleszyński, Stanisław Zaremba and Witold Wilkosz. To indicate the background of scientists being active in the 1920s and 1930s we consider in Chapter 1 some predecessors, in particular: Jan Śniadecki, Józef Maria HoeneWroński, Samuel Dickstein and Edward Stamm.
Logic from A to Z
By John B. Bacon,Michael Detlefsen,David Charles McCarty File : Pdf, ePub, Mobi, Kindle
 Publisher : Routledge
 Book Code : 1134970978
 Total of Pages : 128
 Category : Philosophy
 Members : 614
 Pdf File: logicfromatoz.pdf
Book Short Summary:
First published in the most ambitious international philosophy project for a generation; the Routledge Encyclopedia of Philosophy. Logic from A to Z is a unique glossary of terms used in formal logic and the philosophy of mathematics. Over 500 entries include key terms found in the study of: * Logic: Argument, Turing Machine, Variable * Set and model theory: Isomorphism, Function * Computability theory: Algorithm, Turing Machine * Plus a table of logical symbols. Extensively crossreferenced to help comprehension and add detail, Logic from A to Z provides an indispensable reference source for students of all branches of logic.
Logic and Philosophy of Mathematics in the Early Husserl
By Stefania Centrone File : Pdf, ePub, Mobi, Kindle
 Publisher : Springer Science & Business Media
 Book Code : 9789048132461
 Total of Pages : 232
 Category : Philosophy
 Members : 935
 Pdf File: logicandphilosophyofmathematicsintheearlyhusserl.pdf
Book Short Summary:
Logic and Philosophy of Mathematics in the Early Husserl focuses on the first ten years of Edmund Husserl’s work, from the publication of his Philosophy of Arithmetic (1891) to that of his Logical Investigations (1900/01), and aims to precisely locate his early work in the fields of logic, philosophy of logic and philosophy of mathematics. Unlike most phenomenologists, the author refrains from reading Husserl’s early work as a more or less immature sketch of claims consolidated only in his later phenomenology, and unlike the majority of historians of logic she emphasizes the systematic strength and the originality of Husserl’s logicomathematical work. The book attempts to reconstruct the discussion between Husserl and those philosophers and mathematicians who contributed to new developments in logic, such as Leibniz, Bolzano, the logical algebraists (especially Boole and Schröder), Frege, and Hilbert and his school. It presents both a comprehensive critical examination of some of the major works produced by Husserl and his antagonists in the last decade of the 19th century and a formal reconstruction of many texts from Husserl’s Nachlaß that have not yet been the object of systematical scrutiny. This volume will be of particular interest to researchers working in the history, and in the philosophy, of logic and mathematics, and more generally, to analytical philosophers and phenomenologists with a background in standard logic.
The Politics of Logic
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 Publisher : Routledge
 Book Code : 113665674X
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 Pdf File: thepoliticsoflogic.pdf
Book Short Summary:
In this book, Livingston develops the political implications of formal results obtained over the course of the twentieth century in set theory, metalogic, and computational theory. He argues that the results achieved by thinkers such as Cantor, Russell, Godel, Turing, and Cohen, even when they suggest inherent paradoxes and limitations to the structuring capacities of language or symbolic thought, have farreaching implications for understanding the nature of political communities and their development and transformation. Alain Badiou's analysis of logicalmathematical structures forms the backbone of his comprehensive and provocative theory of ontology, politics, and the possibilities of radical change. Through interpretive readings of Badiou's work as well as the texts of Giorgio Agamben, Jacques Lacan, Jacques Derrida, Gilles Deleuze, and Ludwig Wittgenstein, Livingston develops a formally based taxonomy of critical positions on the nature and structure of political communities. These readings, along with readings of Parmenides and Plato, show how the formal results can transfigure two interrelated and ancient problems of the One and the Many: the problem of the relationship of a Form or Idea to the many of its participants, and the problem of the relationship of a social whole to its many constituents.
LOGIC: Lecture Notes for Philosophy, Mathematics, and Computer Science
By Andrea Iacona File : Pdf, ePub, Mobi, Kindle
 Publisher : Springer Nature
 Book Code : 3030648117
 Total of Pages : 227
 Category : Philosophy
 Members : 962
 Pdf File: logic.pdf
Book Short Summary:
This textbook is a logic manual which includes an elementary course and an advanced course. It covers more than most introductory logic textbooks, while maintaining a comfortable pace that students can follow. The technical exposition is clear, precise and follows a paced increase in complexity, allowing the reader to get comfortable with previous definitions and procedures before facing more difficult material. The book also presents an interesting overall balance between formal and philosophical discussion, making it suitable for both philosophy and more formal/science oriented students. This textbook is of great use to undergraduate philosophy students, graduate philosophy students, logic teachers, undergraduates and graduates in mathematics, computer science or related fields in which logic is required.
Philosophical Problems in Logic
By K. Lambert File : Pdf, ePub, Mobi, Kindle
 Publisher : Springer Science & Business Media
 Book Code : 9401032726
 Total of Pages : 183
 Category : Philosophy
 Members : 898
 Pdf File: philosophicalproblemsinlogic.pdf
Book Short Summary:
The essays in this volume are based on addresses presented during a colloquium on free logic, modal logic and related areas held at the University of California at Irvine, in May of 1968. With the single exception of Dagfinn F011esdal, whose revised address is included in a recent issue of Synthese honoring W. V. Quine, all of the speakers at the Irvine colloquium are contributors to this volume. Thanks are due to Professor A. I. Melden, Chairman of the Department of Philosophy at Irvine, for his enthusiastic support of the colloquium, and to Drs. Gordon Brittan and Daniel Dennett for their help in the administration of the colloquium. Finally. I should also like to thank Professor Ralph W. Gerard, Dean of the Graduate Division of the University of California at Irvine, for the financial support which made the colloquium possible. KAREL LAMBERT Laguna Beach, California, 1969 TABLE OF CONTENTS PREFACE V KAREL LAMBERT and BAS C. VAN FRAASSEN/ Meaning Relations, Possible Objects, and Possible Worlds 1 JAAKKO HINTIKKA / Existential Presuppositions and Uniqueness Presuppositions 20 RICHMOND H. THOMASON / Some Completeness Results for Modal Predicate Calculi 56 H. LEBLANC and R. K. MEYER / TruthValue Semantics for the Theory of Types 77 J. M. VICKERS / Probability and Non Standard Logics 102 PETER W. WOODRUFF / Logic and Truth Value Gaps 121 DANA SCOTT / Advice on Modal Logic 143 INDEX OF NAMES 175 KAREL LAMBER T AND BAS C.
The Boundary Stones of Thought
By Ian Rumfitt File : Pdf, ePub, Mobi, Kindle
 Publisher : OUP Oxford
 Book Code : 019105335X
 Total of Pages : 320
 Category : Philosophy
 Members : 267
 Pdf File: theboundarystonesofthought.pdf
Book Short Summary:
The Boundary Stones of Thought seeks to defend classical logic from a number of attacks of a broadly antirealist character. Ian Rumfitt is sympathetic to many of the premisses underlying these attacks. Indeed, he regards some of them as effective challenges to certain principles of classical semantics, notably the Principle of Bivalence. He argues, though, that they are ineffective against classical logic itself. The book starts by considering the general problem of how conflicts over logical laws may be rationally discussed and adjudicated. This leads to a consideration of the nature of logic: Rumfitt identifies the particular features that mark out logical consequence from other consequence relations, and he advances a new argument for the ancient thesis that there is a modal element in the notion of logical consequence. He develops a theory of that modal element in terms of perhaps incomplete possibilities, rather than fully determinate possible worlds. Some prima facie powerful arguments against the validity of certain classical logical laws are then analysed in the light of this account of logic. Throughout, care is taken to separate lines of anticlassical argument that, although distinct, are often run together or confused. The analysis yields, as byproducts, semantic theories for a number of problematical areas of discourse. These areas include our talk about subatomic particles, about the infinite, about infinitesimals, about sets, and vague discourse. Rumfitt concludes by defending his stance of accepting classical logic while rejecting Bivalence, against Aristotle's argument that a classical logician is committed to Bivalence. The ultimate aim is to liberate classical logic from the dead hand of classical semantics.
Historical and Philosophical Dimensions of Logic, Methodology and Philosophy of Science
By Robert E. Butts,Jaakko Hintikka File : Pdf, ePub, Mobi, Kindle
 Publisher : Springer Science & Business Media
 Book Code : 940171780X
 Total of Pages : 338
 Category : Science
 Members : 103
 Pdf File: historicalandphilosophicaldimensionsoflogicmethodologyandphilosophyofscience.pdf
Book Short Summary:
The Fifth International Congress of Logic, Methodology and Philosophy of Science was held at the University of Western Ontario, London, Canada, 27 August to 2 September 1975. The Congress was held under the auspices of the International Union of History and Philosophy of Science, Division of Logic, Methodology and Philosophy of Science, and was sponsored by the National Research Council of Canada and the University of Western Ontario. As those associated closely with the work of the Division over the years know well, the work undertaken by its members varies greatly and spans a number of fields not always obviously related. In addition, the volume of work done by first rate scholars and scientists in the various fields of the Division has risen enormously. For these and related reasons it seemed to the editors chosen by the Divisional officers that the usual format of publishing the proceedings of the Congress be abandoned in favour of a somewhat more flexible, and hopefully acceptable, method of pre sentation. Accordingly, the work of the invited participants to the Congress has been divided into four volumes appearing in the University of Western Ontario Series in Philosophy of Science. The volumes are entitled, Logic, Foundations of Mathematics and Computability Theory, Foun dational Problems in the Special Sciences, Basic Problems in Methodol ogy and Linguistics, and Historical and Philosophical Dimensions of Logic, Methodology and Philosophy of Science.
The Problems of Logic
By Andrew Paul Ushenko File : Pdf, ePub, Mobi, Kindle
 Publisher : Routledge
 Book Code : 100073711X
 Total of Pages : 222
 Category : Philosophy
 Members : 693
 Pdf File: theproblemsoflogic.pdf
Book Short Summary:
Originally published in 1941. Professor Ushenko treats of current problems in technical Logic, involving Symbolic Logic to a marked extent. He deprecates the tendency, in influential quarters, to regard Logic as a branch of Mathematics and advances the intuitionalist theory of Logic. This involves criticism of Carnap, Russell,Wittgenstein, Broad and Whitehead, with additional discussions on Kant and Hegel. The author believes that the union of Philosophy and Logic is a natural one, and that an exclusively mathematical treatment cannot give an adequate account of Logic. A fundamental characteristic of Logic is comprehensiveness, which brings out the affinity between logic and philosophy, for to be comprehensive is the aim of philosophical ambition.