An Introduction to the Philosophy of Logic Book

An Introduction to the Philosophy of Logic


  • Author : Daniel Cohnitz
  • Publisher : Cambridge University Press
  • Release Date : 2019-05-16
  • Genre: Philosophy
  • Pages : 272
  • ISBN 10 : 1107527724

DOWNLOAD BOOK
An Introduction to the Philosophy of Logic Excerpt :

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.

Philosophy of Logic Book
Score: 3
From 1 Ratings

Philosophy of Logic


  • Author : Anonim
  • Publisher : Elsevier
  • Release Date : 2006-11-29
  • Genre: Mathematics
  • Pages : 1218
  • ISBN 10 : 008046663X

DOWNLOAD BOOK
Philosophy of Logic 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

Logic for Philosophy Book

Logic for Philosophy


  • Author : Theodore Sider
  • Publisher : Oxford University Press
  • Release Date : 2010-01-07
  • Genre: Philosophy
  • Pages : 289
  • ISBN 10 : 9780192658814

DOWNLOAD BOOK
Logic for Philosophy 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.

Philosophy of Logics Book
Score: 3
From 1 Ratings

Philosophy of Logics


  • Author : Susan Haack
  • Publisher : Cambridge University Press
  • Release Date : 1978-07-27
  • Genre: Philosophy
  • Pages : 276
  • ISBN 10 : 0521293294

DOWNLOAD BOOK
Philosophy of Logics Excerpt :

Publisher Description

Philosophical Logic Book

Philosophical Logic


  • Author : John MacFarlane
  • Publisher : Routledge
  • Release Date : 2020-11-29
  • Genre: Computers
  • Pages : 258
  • ISBN 10 : 9781351733564

DOWNLOAD BOOK
Philosophical Logic Excerpt :

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

Philosophy of Logic  2nd Edition Book
Score: 3
From 1 Ratings

Philosophy of Logic 2nd Edition


  • Author : W. V. QUINE
  • Publisher : Harvard University Press
  • Release Date : 2009-06-30
  • Genre: Philosophy
  • Pages : 128
  • ISBN 10 : 9780674042445

DOWNLOAD BOOK
Philosophy of Logic 2nd Edition Excerpt :

With his customary incisiveness, W. V. Quine presents logic as the product of two factors, truth and grammar--but 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.

Philosophy of Logical Systems Book

Philosophy of Logical Systems


  • Author : Jaroslav Peregrin
  • Publisher : Routledge
  • Release Date : 2019-11-11
  • Genre: Philosophy
  • Pages : 198
  • ISBN 10 : 9781000726848

DOWNLOAD BOOK
Philosophy of Logical Systems Excerpt :

This book addresses the hasty development of modern logic, especially its introducing and embracing various kinds of artificial languages and moving from the study of natural languages to that of artificial ones. This shift seemed extremely helpful and managed to elevate logic to a new level of rigor and clarity. However, the change that logic underwent in this way was in no way insignificant, and it is also far from an insignificant matter to determine to what extent the "new logic" only engaged new and more powerful instruments to answer the questions posed by the "old" one, and to what extent it replaced these questions with new ones. Hence, this movement has generated brand new kinds of philosophical problems that have still not been dealt with systematically. Philosophy of Logical Systems addresses these new kinds of philosophical problems that are intertwined with the development of modern logic. Jaroslav Peregrin analyzes the rationale behind the introduction of the artificial languages of logic; classifies the various tools which were adopted to build such languages; gives an overview of the various kinds of languages introduced in the course of modern logic and the motifs of their employment; discusses what can actually be achieved by relocating the problems of logic from natural language into them; and reaches certain conclusions with respect to the possibilities and limitations of this "formal turn" of logic. This book is both an important scholarly contribution to the philosophy of logic and a systematic survey of the standard (and not so standard) logical systems that were established during the short history of modern logic.

Philosophical Logic Book

Philosophical Logic


  • Author : John P. Burgess
  • Publisher : Princeton University Press
  • Release Date : 2012-08-26
  • Genre: Philosophy
  • Pages : 168
  • ISBN 10 : 9780691156330

DOWNLOAD BOOK
Philosophical Logic Excerpt :

Philosophical Logic is a clear and concise critical survey of nonclassical logics of philosophical interest written by one of the world's leading authorities on the subject. After giving an overview of classical logic, John Burgess introduces five central branches of nonclassical logic (temporal, modal, conditional, relevantistic, and intuitionistic), focusing on the sometimes problematic relationship between formal apparatus and intuitive motivation. Requiring minimal background and arranged to make the more technical material optional, the book offers a choice between an overview and in-depth study, and it balances the philosophical and technical aspects of the subject. The book emphasizes the relationship between models and the traditional goal of logic, the evaluation of arguments, and critically examines apparatus and assumptions that often are taken for granted. Philosophical Logic provides an unusually thorough treatment of conditional logic, unifying probabilistic and model-theoretic approaches. It underscores the variety of approaches that have been taken to relevantistic and related logics, and it stresses the problem of connecting formal systems to the motivating ideas behind intuitionistic mathematics. Each chapter ends with a brief guide to further reading. Philosophical Logic addresses students new to logic, philosophers working in other areas, and specialists in logic, providing both a sophisticated introduction and a new synthesis.

Philosophy of Logic  Routledge Revivals  Book

Philosophy of Logic Routledge Revivals


  • Author : Hilary Putnam
  • Publisher : Routledge
  • Release Date : 2014-04-04
  • Genre: Philosophy
  • Pages : 76
  • ISBN 10 : 9781317832577

DOWNLOAD BOOK
Philosophy of Logic Routledge Revivals Excerpt :

First published in 1971, Professor Putnam's essay concerns itself with the ontological problem in the philosophy of logic and mathematics - that is, the issue of whether the abstract entities spoken of in logic and mathematics really exist. He also deals with the question of whether or not reference to these abstract entities is really indispensible in logic and whether it is necessary in physical science in general.

New Waves in Philosophical Logic Book

New Waves in Philosophical Logic


  • Author : G. Restall
  • Publisher : Springer
  • Release Date : 2012-07-31
  • Genre: Mathematics
  • Pages : 244
  • ISBN 10 : 9781137003720

DOWNLOAD BOOK
New Waves in Philosophical Logic Excerpt :

Philosophical logic has been, and continues to be, a driving force behind much progress and development in philosophy more broadly. This collection by up-and-coming philosophical logicians deals with a broad range of topics, including, for example, proof-theory, probability, context-sensitivity, dialetheism and dynamic semantics.

LOGIC  Lecture Notes for Philosophy  Mathematics  and Computer Science Book

LOGIC Lecture Notes for Philosophy Mathematics and Computer Science


  • Author : Andrea Iacona
  • Publisher : Springer Nature
  • Release Date : 2021-05-10
  • Genre: Philosophy
  • Pages : 227
  • ISBN 10 : 9783030648114

DOWNLOAD BOOK
LOGIC Lecture Notes for Philosophy Mathematics and Computer Science Excerpt :

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.

Logic from A to Z Book

Logic from A to Z


  • Author : John B. Bacon
  • Publisher : Routledge
  • Release Date : 2013-09-05
  • Genre: Philosophy
  • Pages : 128
  • ISBN 10 : 9781134971046

DOWNLOAD BOOK
Logic from A to Z Excerpt :

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 cross-referenced to help comprehension and add detail, Logic from A to Z provides an indispensable reference source for students of all branches of logic.

Three Views of Logic Book

Three Views of Logic


  • Author : Donald W. Loveland
  • Publisher : Princeton University Press
  • Release Date : 2014-01-26
  • Genre: Mathematics
  • Pages : 344
  • ISBN 10 : 9780691160443

DOWNLOAD BOOK
Three Views of Logic Excerpt :

Demonstrating the different roles that logic plays in the disciplines of computer science, mathematics, and philosophy, this concise undergraduate textbook covers select topics from three different areas of logic: proof theory, computability theory, and nonclassical logic. The book balances accessibility, breadth, and rigor, and is designed so that its materials will fit into a single semester. Its distinctive presentation of traditional logic material will enhance readers' capabilities and mathematical maturity. The proof theory portion presents classical propositional logic and first-order logic using a computer-oriented (resolution) formal system. Linear resolution and its connection to the programming language Prolog are also treated. The computability component offers a machine model and mathematical model for computation, proves the equivalence of the two approaches, and includes famous decision problems unsolvable by an algorithm. The section on nonclassical logic discusses the shortcomings of classical logic in its treatment of implication and an alternate approach that improves upon it: Anderson and Belnap's relevance logic. Applications are included in each section. The material on a four-valued semantics for relevance logic is presented in textbook form for the first time. Aimed at upper-level undergraduates of moderate analytical background, Three Views of Logic will be useful in a variety of classroom settings. Gives an exceptionally broad view of logic Treats traditional logic in a modern format Presents relevance logic with applications Provides an ideal text for a variety of one-semester upper-level undergraduate courses

The Logic in Philosophy of Science Book

The Logic in Philosophy of Science


  • Author : Hans Halvorson
  • Publisher : Cambridge University Press
  • Release Date : 2019-07-11
  • Genre: Philosophy
  • Pages : 305
  • ISBN 10 : 9781107110991

DOWNLOAD BOOK
The Logic in Philosophy of Science Excerpt :

Reconsiders the role of formal logic in the analytic approach to philosophy, using cutting-edge mathematical techniques to elucidate twentieth-century debates.

Philosophical and Mathematical Logic Book

Philosophical and Mathematical Logic


  • Author : Harrie de Swart
  • Publisher : Springer
  • Release Date : 2018-11-28
  • Genre: Philosophy
  • Pages : 539
  • ISBN 10 : 9783030032555

DOWNLOAD BOOK
Philosophical and Mathematical Logic Excerpt :

This book was written to serve as an introduction to logic, with in each chapter – if applicable – special emphasis on the interplay between logic and philosophy, mathematics, language and (theoretical) computer science. The reader will not only be provided with an introduction to classical logic, but to philosophical (modal, epistemic, deontic, temporal) and intuitionistic logic as well. The first chapter is an easy to read non-technical Introduction to the topics in the book. The next chapters are consecutively about Propositional Logic, Sets (finite and infinite), Predicate Logic, Arithmetic and Gödel’s Incompleteness Theorems, Modal Logic, Philosophy of Language, Intuitionism and Intuitionistic Logic, Applications (Prolog; Relational Databases and SQL; Social Choice Theory, in particular Majority Judgment) and finally, Fallacies and Unfair Discussion Methods. Throughout the text, the author provides some impressions of the historical development of logic: Stoic and Aristotelian logic, logic in the Middle Ages and Frege's Begriffsschrift, together with the works of George Boole (1815-1864) and August De Morgan (1806-1871), the origin of modern logic. Since "if ..., then ..." can be considered to be the heart of logic, throughout this book much attention is paid to conditionals: material, strict and relevant implication, entailment, counterfactuals and conversational implicature are treated and many references for further reading are given. Each chapter is concluded with answers to the exercises. Philosophical and Mathematical Logic is a very recent book (2018), but with every aspect of a classic. What a wonderful book! Work written with all the necessary rigor, with immense depth, but without giving up clarity and good taste. Philosophy and mathematics go hand in hand with the most diverse themes of logic. An introductory text, but not only that. It goes much further. It's worth diving into the pages of this book, dear reader! Paulo Sérgio Argolo