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An Introduction to the Philosophy of Logic

An Introduction to the Philosophy of Logic Book
Author : Daniel Cohnitz,Luis Estrada-González
Publisher : Cambridge University Press
Release : 2019-05-31
ISBN : 1108603289
Language : En, Es, Fr & De

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Book Description :

Philosophy of logic is a fundamental part of philosophical study, and one which is increasingly recognized as being immensely important in relation to many issues in metaphysics, metametaphysics, epistemology, philosophy of mathematics, and philosophy of language. This textbook provides a comprehensive and accessible introduction to topics including the objectivity of logical inference rules and its relevance in discussions of epistemological relativism, the revived interest in logical pluralism, the question of logic's metaphysical neutrality, and the demarcation between logic and mathematics. Chapters in the book cover the state of the art in contemporary philosophy of logic, and allow students to understand the philosophical relevance of these debates without having to contend with complex technical arguments. This will be a major new resource for students working on logic, as well as for readers seeking a better understanding of philosophy of logic in its wider context.

Handbook of Philosophical Logic

Handbook of Philosophical Logic Book
Author : Dov M. Gabbay,Franz Guenthner
Publisher : Springer Science & Business Media
Release : 2013-06-29
ISBN : 9401704562
Language : En, Es, Fr & De

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Book Description :

It is with great pleasure that we are presenting to the community the second edition of this extraordinary handbook. It has been over 15 years since the publication of the first edition and there have been great changes in the landscape of philosophical logic since then. The first edition has proved invaluable to generations of students and researchers in formal philosophy and language, as well as to consumers of logic in many applied areas. The main logic artiele in the Encyelopaedia Britannica 1999 has described the first edition as 'the best starting point for exploring any of the topics in logic'. We are confident that the second edition will prove to be just as good. ! The first edition was the second handbook published for the logic commu nity. It followed the North Holland one volume Handbook 0/ Mathematical Logic, published in 1977, edited by the late Jon Barwise. The four volume Handbook 0/ Philosophical Logic, published 1983-1989 came at a fortunate temporal junction at the evolution of logic. This was the time when logic was gaining ground in computer science and artificial intelligence cireles. These areas were under increasing commercial press ure to provide devices which help andjor replace the human in his daily activity. This pressure required the use of logic in the modelling of human activity and organisa tion on the one hand and to provide the theoretical basis for the computer program constructs on the other.

Logic and Philosophy

Logic and Philosophy Book
Author : Howard Kahane,Alan Hausman,Frank Boardman
Publisher : Hackett Publishing Company
Release : 2021-01-20
ISBN : 9781624669354
Language : En, Es, Fr & De

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Book Description :

A comprehensive introduction to formal logic, Logic and Philosophy: A Modern Introduction is a rigorous yet accessible text, appropriate for students encountering the subject for the first time. Abundant, carefully crafted exercise sets accompanied by a clear, engaging exposition build to an exploration of sentential logic, first-order predicate logic, the theory of descriptions, identity, relations, set theory, modal logic, and Aristotelian logic. And as its title suggests, Logic and Philosophy is devoted not only to logic but also to the philosophical debates that led to the development of the field. Much new material has been added for the 13th edition. An introduction to set theory and its relationship to logic and mathematics, including philosophical issues, is now part of Chapter 13. Chapter 15 is an introduction to modal logic and Kripke semantics, concluding with a discussion of philosophical problems with any logical accommodation of modalities. Instructors who do not wish to present proof methods will find chapters on truth trees for both sentential and first-order logic, and a presentation of trees for modal logic. Special features of this text include presentations of the history of logic, alternatives to traditional methods of conditional and indirect proof, and a discussion of semantic problems with universal and existential instantiations. Throughout, the authors are sensitive to philosophical issues that arise from the relationship between ordinary language, symbolic logic, and justifications for the syntax and semantics of the various symbolic languages. Discussions range from the justification of the truth table for the sentential rendering of if . . . then statements to semantic and syntactic paradoxes, including some troubling paradoxes that arise in ordinary language (e.g., the so-called hangman or surprise quiz paradox). Logic and Philosophy includes ample material for a one-semester or two-semester course and provides a thorough preparation for more advanced logic courses.

The Oxford Handbook of Philosophy of Mathematics and Logic

The Oxford Handbook of Philosophy of Mathematics and Logic Book
Author : Stewart Shapiro
Publisher : OUP USA
Release : 2007-06-14
ISBN : 9780195325928
Language : En, Es, Fr & De

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Book Description :

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 self-contained, serve both to introduce the reader to the subject and to engage in it at its frontiers. Certain major positions are represented by two chapters--one supportive and one critical. The Oxford Handbook of Philosophy of Math and Logic is a ground-breaking 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.

A Companion to Philosophical Logic

A Companion to Philosophical Logic Book
Author : Dale Jacquette
Publisher : Wiley-Blackwell
Release : 2005-11-11
ISBN : 1405145757
Language : En, Es, Fr & De

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Book Description :

This collection of newly comissioned essays by international contributors offers a representative overview of the most important developments in contemporary philosophical logic. Presents controversies in philosophical implications and applications of formal symbolic logic. Surveys major trends and offers original insights.

Philosophical Logic

Philosophical Logic Book
Author : John MacFarlane
Publisher : Routledge
Release : 2020-11-29
ISBN : 1351733559
Language : En, Es, Fr & De

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Book Description :

Introductory logic is generally taught as a straightforward technical discipline. In this book, John MacFarlane helps the reader think about the limitations of, presuppositions of, and alternatives to classical first-order predicate logic, making this an ideal introduction to philosophical logic for any student who already has completed an introductory logic course. The book explores the following questions. Are there quantificational idioms that cannot be expressed with the familiar universal and existential quantifiers? How can logic be extended to capture modal notions like necessity and obligation? Does the material conditional adequately capture the meaning of 'if'—and if not, what are the alternatives? Should logical consequence be understood in terms of models or in terms of proofs? Can one intelligibly question the validity of basic logical principles like Modus Ponens or Double Negation Elimination? Is the fact that classical logic validates the inference from a contradiction to anything a flaw, and if so, how can logic be modified to repair it? How, exactly, is logic related to reasoning? Must classical logic be revised in order to be applied to vague language, and if so how? Each chapter is organized around suggested readings and includes exercises designed to deepen the reader's understanding. Key Features: An integrated treatment of the technical and philosophical issues comprising philosophical logic Designed to serve students taking only one course in logic beyond the introductory level Provides tools and concepts necessary to understand work in many areas of analytic philosophy Includes exercises, suggested readings, and suggestions for further exploration in each chapter

The Philosophy of Logical Atomism

The Philosophy of Logical Atomism Book
Author : Bertrand Russell
Publisher : Createspace Independent Publishing Platform
Release : 2017-12-04
ISBN : 9781981463862
Language : En, Es, Fr & De

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Book Description :

Logical Atomism is a philosophy that sought to account for the world in all its various aspects by relating it to the structure of the language in which we articulate information. In The Philosophy of Logical Atomism, Bertrand Russell, with input from his young student Ludwig Wittgenstein, developed the concept and argues for a reformed language based on pure logic. Despite Russell's own future doubts surrounding the concept, this founding and definitive work in analytical philosophy by one of the world's most significant philosophers is a remarkable attempt to establish a novel way of thinking.

The History of Philosophical and Formal Logic

The History of Philosophical and Formal Logic Book
Author : Alex Malpass,Marianna Antonutti Marfori
Publisher : Bloomsbury Publishing
Release : 2017-06-29
ISBN : 1472507177
Language : En, Es, Fr & De

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Book Description :

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.

Philosophical Logical and Scientific Perspectives in Engineering

Philosophical  Logical and Scientific Perspectives in Engineering Book
Author : Zekâi Şen
Publisher : Springer Science & Business Media
Release : 2013-09-14
ISBN : 331901742X
Language : En, Es, Fr & De

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Book Description :

This book highlights and explains the significance of philosophical, logical, and scientific principles for engineering education/training and engineering works. In so doing, it aims to help to rectify the neglect of philosophy and logic in current education and training programs, which emphasize analytical and numerical methods at the expense of the innovative practical and creative abilities so important for engineering in the past. Individual chapters examine the relation of philosophy, logic, and science to engineering, drawing attention to, for example, the significance of ethics, the relevance of the philosophy of science, and the increasing importance of application of fuzzy logic to engineering. Modeling principles and philosophy in engineering are discussed, and the impact of different education systems, examined. Too often engineers have become reliant on readily available formulations and software; this book offers an antidote, promoting the recognition of artistic and humanitarian aspects and their integration in engineering works.

Logic and Philosophy of Logic

Logic and Philosophy of Logic Book
Author : Max A. Freund,Max Fernandez de Castro,Marco Ruffino
Publisher : Unknown
Release : 2018-12-10
ISBN : 9781848902930
Language : En, Es, Fr & De

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Book Description :

Logic and philosophy of logic have increasingly become areas of research and great interest in Latin America and Spain, where significant work has been done and continues to be done in both of these fields. The goal of this volume is to draw attention to this work through a collection of original and unpublished papers by specialists from Latin America and Spain. Some of the papers are of importance for set-theory and model theory. They cover topics such as the foundations of paraconsistency, the use of paraconsistent logic as a basis for set-theory, and the methodological aspects in both the justification of new axioms in set theory and the formalization of pre-theoretic notions. Other papers are related to epistemic logic. They deal with the issues of abduction and the choice of the simplest hypothesis, the definition of group probability, and the nature of explanation and understanding in such logic. There are also papers on logical paradoxes, the semantics of names (including fictional names), and the nature of relations. Max A. Freund is Professor of Logic and Philosophy at the University of Costa Rica and the National University of Costa Rica. He is co-author of the book Modal Logic its syntax and semantics (Oxford University Press, 2008), as well as the author of Judicial Logic (Costa Rica Institute of Technology Press, 2007), and of a forthcoming book The Logic of Sortals (Springer, 2019). Max Fernandez de Castro is Professor of Logic and Philosophy at the Autonomous Metropolitan University of Mexico (at Iztapalapa). He is the author of the book Quine y la Ontología Abstracta (Porrúa, 2003) and co-author of the books Lógica Matemática I: lógica proposicional, intuicionista y modal (País, 2011), Lógica Matemática II: clásica, intuicionista y modal (País, 2011), Teoría de Conjuntos, Lógica y Temas Afines I (UAM Press, 2013). Marco Ruffino is Professor of Philosophy at the University of Campinas (UNICAMP, Brazil) and the editor of Manuscrito, the Brazilian international journal for Analytic Philosophy. He has many publications, in important philosophical journals, in the philosophy of language, of logic, and of mathematics; in the history of analytic philosophy, and on Frege and Wittgenstein.

Philosophical Logic

Philosophical Logic Book
Author : P. F. Strawson
Publisher : Unknown
Release : 1967
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Philosophical Logic book written by P. F. Strawson, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

A Concise Introduction to Philosophy and Logic

A Concise Introduction to Philosophy and Logic Book
Author : Andrew Friday Uduigwomen,Godfrey O. Ozumba
Publisher : Unknown
Release : 2000
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download A Concise Introduction to Philosophy and Logic book written by Andrew Friday Uduigwomen,Godfrey O. Ozumba, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

On Logic and the Theory of Science

On Logic and the Theory of Science Book
Author : Jean Cavailles
Publisher : MIT Press
Release : 2021-03-14
ISBN : 173362810X
Language : En, Es, Fr & De

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Book Description :

A new translation of the final work of French philosopher Jean Cavaillès. In this short, dense essay, Jean Cavaillès evaluates philosophical efforts to determine the origin--logical or ontological--of scientific thought, arguing that, rather than seeking to found science in original intentional acts, a priori meanings, or foundational logical relations, any adequate theory must involve a history of the concept. Cavaillès insists on a historical epistemology that is conceptual rather than phenomenological, and a logic that is dialectical rather than transcendental. His famous call (cited by Foucault) to abandon "a philosophy of consciousness" for "a philosophy of the concept" was crucial in displacing the focus of philosophical enquiry from aprioristic foundations toward structural historical shifts in the conceptual fabric. This new translation of Cavaillès's final work, written in 1942 during his imprisonment for Resistance activities, presents an opportunity to reencounter an original and lucid thinker. Cavaillès's subtle adjudication between positivistic claims that science has no need of philosophy, and philosophers' obstinate disregard for actual scientific events, speaks to a dilemma that remains pertinent for us today. His affirmation of the authority of scientific thinking combined with his commitment to conceptual creation yields a radical defense of the freedom of thought and the possibility of the new.

Logical Forms

Logical Forms Book
Author : Mark Sainsbury
Publisher : Wiley-Blackwell
Release : 2000-12-22
ISBN : 9780631216797
Language : En, Es, Fr & De

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Book Description :

Logical Forms explains both the detailed problems involved in finding logical forms and also the theoretical underpinnings of philosophical logic. In this revised edition, exercises are integrated throughout the book. The result is a genuinely interactive introduction which engages the reader in developing the argument. Each chapter concludes with updated notes to guide further reading.

Philosophical Logic

Philosophical Logic Book
Author : Sybil Wolfram
Publisher : Psychology Press
Release : 1989
ISBN : 9780415023184
Language : En, Es, Fr & De

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Book Description :

First published in 1989. Routledge is an imprint of Taylor & Francis, an informa company.

The Concept of Logical Consequence

The Concept of Logical Consequence Book
Author : Matthew W. McKeon
Publisher : Peter Lang
Release : 2010
ISBN : 9781433106453
Language : En, Es, Fr & De

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Book Description :

The Concept of Logical Consequence is a critical evaluation of the model-theoretic and proof-theoretic characterizations of logical consequence that proceeds from Alfred Tarski's characterization of the informal concept of logical consequence. This study evaluates and expands upon ideas set forth in Tarski's 1936 article on logical consequence, and appeals to his 1935 article on truth. Classical logic, as well as extensions and deviations are considered. Issues in the philosophy of logic such as the nature of logical constants, the philosophical significance of completeness, and the metaphysical and epistemological implications of logic are discussed in the context of the examination of the concept of logical consequence.

Grammar Philosophy and Logic

Grammar  Philosophy  and Logic Book
Author : Bruce Silver
Publisher : Springer
Release : 2017-11-21
ISBN : 3319662570
Language : En, Es, Fr & De

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Book Description :

This book argues that a basic grasp of philosophy and logic can produce written and spoken material that is both grammatically correct and powerful. The author analyses errors in grammar, word choice, phrasing and sentences that even the finest writers can fail to notice; concentrating on subtle missteps and errors that can make the difference between good and excellent prose. Each chapter addresses how common words and long-established grammatical rules are often misused or ignored altogether – including such common words as ‘interesting’, ‘possible’, and ‘apparent’. By tackling language in this way, the author provides an illuminating and practical stylistic guide that will interest students and scholars of grammar and philosophy, as well as readers looking to improve their technical writing skills.

Handbook of Philosophical Logic

Handbook of Philosophical Logic Book
Author : Dov M. Gabbay,Franz Guenthner
Publisher : Springer
Release : 1994-09-30
ISBN : 9780792331001
Language : En, Es, Fr & De

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Book Description :

The Handbook of Philosophical Logic is a unique systematic survey of the central areas of philosophical logic. Divided into four volumes, each devoted to a major sub-field within the disciplines, it is expected that the Handbook will have considerable influence in the field for many years to come. Written by world authorities in philosophical logic, the work reflects careful and fruitful collaboration by the authors at every stage of the project. This has ensured a comprehensive and definitive set of articles which will be of inestimable value to general philosophers, linguists, logicians, mathematicians and computer scientists. Volume I: Elements of Classical Logic, deals with the background to what has come to be considered the standard formulation of predicate logic - both as far as its semantics and proof theory are concerned. The central chapter on predicate logic is followed by chapters outlining various alternative, but essentially equivalent ways of constructing the semantics for first-order logic as well as its proof theory. In addition, this volume contains a discussion of higher-order extensions of first-order logic and a compendium of the algorithmic and decision-theoretic prerequisites in the study of logical systems. Volume II: Extensions of Classical Logic, surveys the most significant `intensional' extensions of predicate logic and their applications to various philosophical fields of inquiry. The twelve chapters in this volume together provide a succinct introduction to a variety of intensional frameworks, a discussion of the most well-known logical systems, as well as an overview of major applications and of the open problems in the respective fields. Volume III: Alternatives to Classical Logic, consists of a series of surveys of some of the alternatives to the basic assumptions of classical logic. These include many-valued logic, partial logic, free logic, relevance and entailment logics, dialogue logic, quantum logic, and intuitionism. Volume IV: Topics in the Philosophy of Language, presents a panorama of the applications of logical tools and methods in the formal analysis of natural language. Since a number of developments in philosophical logic were originally stimulated by concern arising in the semantic analysis of natural language discourse, the chapters in this volume provide some criteria of evaluation of the applications of work in philosophical logic. In revealing both the adequacies and inadequacies of logical investigations in the semantic structures of natural discourse, these chapters also point the way to future developments in philosophical logic in general and thus close again the circle of inquiry relating logic and language.

The Metaphysics of Gottlob Frege

The Metaphysics of Gottlob Frege Book
Author : E.H.W Kluge
Publisher : Springer Science & Business Media
Release : 2013-03-09
ISBN : 9401733872
Language : En, Es, Fr & De

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Book Description :

Die Sprachen sind nicht nach dem logischen Lineal gemacht. (Briefwechsel, p. 102) If success in solving problems is the hallmark of philosophical great ness, then Frege was not a great philosopher. But by that same token, very few if any other figure in the history of philosophy will qualify. On the other hand, if the hallmark of philosophical great ness is the opening up of new conceptual territory and the raising of hitherto unsuspected crucial questions, the shifting of philosophical perspectiv~ and the determination of subsequent lines of enquiry, then Frege must rank among the greatest philosophers of all times. He was the first to develop a completely formalized language and a logical system sufficiently powerful to generate arithmetic; he opened up the fields of philosophy of logic and arithmetic; his theses on sense reference and definition were seminal to almost all subse quent work done in the philosophy oflanguage; and his ontological speculations constituted the foundation of one of the most profound metaphysics ever developed: that of Ludwig Wittgenstein in the Tractatus.

Logic and Philosophy

Logic and Philosophy Book
Author : William H. Brenner
Publisher : Unknown
Release : 1993
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

In the Western philosophical tradition logical investigation and philosophical advance have been inextricably linked, each having stimulated and shaped the other. In Logic and Philosophy William H. Brenner examines a broad range of logical concepts and methods as they relate to the larger context of philosophical investigation and thus bring to light the philosophical depth of logic and its relevance to philosophy in general.