Download or read book Philosophy of Logical Systems written by Jaroslav Peregrin and published by Routledge. This book was released on 2019-11-11 with total page 198 pages. Available in PDF, EPUB and Kindle. Book 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.
Download or read book Philosophy of Logic 2nd Edition written by W. V. QUINE and published by Harvard University Press. This book was released on 2009-06-30 with total page 122 pages. Available in PDF, EPUB and Kindle. Book 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.
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.
Download or read book An Introduction to Logical Theory written by Aladdin M. Yaqub and published by Broadview Press. This book was released on 2013-03-22 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reclaims logic as a branch of philosophy, offering a self-contained and complete introduction to the three traditional systems of classical logic (term, sentence, and predicate logic) and the philosophical issues that surround those systems. The exposition is lucid, clear, and engaging. Practical methods are favored over the traditional, and creative approaches over the merely mechanical. The author’s guiding principle is to introduce classical logic in an intellectually honest way, and not to shy away from difficulties and controversies where they arise. Relevant philosophical issues, such as the relation between the meaning and the referent of a proper name, logical versus metaphysical possibility, and the conceptual content of an expression, are discussed throughout. In this way, the book is not only an introduction to the three main systems of classical logic, but also an introduction to the philosophy of classical logic.
Download or read book Philosophy of Logics written by Susan Haack and published by Cambridge University Press. This book was released on 1978-07-27 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Download or read book Handbook of Philosophical Logic written by Dov M. Gabbay and published by Springer Science & Business Media. This book was released on 2011-02-01 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Belief Revision Refutation and systems in Propositional Logic. A Quantifier Scope in Formal Linguistics and Non-deterministic Semantics for Logical Systems.
Download or read book Logical Options written by John L. Bell and published by Broadview Press. This book was released on 2001-03-30 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logical Options introduces the extensions and alternatives to classical logic which are most discussed in the philosophical literature: many-sorted logic, second-order logic, modal logics, intuitionistic logic, three-valued logic, fuzzy logic, and free logic. Each logic is introduced with a brief description of some aspect of its philosophical significance, and wherever possible semantic and proof methods are employed to facilitate comparison of the various systems. The book is designed to be useful for philosophy students and professional philosophers who have learned some classical first-order logic and would like to learn about other logics important to their philosophical work.
Download or read book Introduction to Logical Theory Routledge Revivals written by P. F. Strawson and published by Taylor & Francis. This book was released on 2012-07-26 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1952, professor Strawson’s highly influential Introduction to Logical Theory provides a detailed examination of the relationship between the behaviour of words in common language and the behaviour of symbols in a logical system. He seeks to explain both the exact nature of the discipline known as Formal Logic, and also to reveal something of the intricate logical structure of ordinary unformalised discourse.
Download or read book Philosophy of Logics written by Susan Haack and published by Cambridge University Press. This book was released on 1978-07-27 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first systematic exposition of all the central topics in the philosophy of logic, Susan Haack's book has established an international reputation (translated into five languages) for its accessibility, clarity, conciseness, orderliness, and range as well as for its thorough scholarship and careful analyses. Haack discusses the scope and purpose of logic, validity, truth-functions, quantification and ontology, names, descriptions, truth, truth-bearers, the set-theoretical and semantic paradoxes, and modality. She also explores the motivations for a whole range of non-classical systems of logic, including many-valued logics, fuzzy logic, moddal and tense logics, and relevance logics. Persupposing only an elementary knowledge of formal logic, this book includes many useful summary tables and diagrams, as well as a helpful glossary of technical terms. Wide-ranging, informative, and eminently readable, this book has proven a valuable resource for generations of students and scholars in a variety of disciplines outside philosophy needing guidance on the philosophy of logic.
Download or read book Paraconsistency Logic and Applications written by Koji Tanaka and published by Springer Science & Business Media. This book was released on 2012-07-26 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: A logic is called 'paraconsistent' if it rejects the rule called 'ex contradictione quodlibet', according to which any conclusion follows from inconsistent premises. While logicians have proposed many technically developed paraconsistent logical systems and contemporary philosophers like Graham Priest have advanced the view that some contradictions can be true, and advocated a paraconsistent logic to deal with them, until recent times these systems have been little understood by philosophers. This book presents a comprehensive overview on paraconsistent logical systems to change this situation. The book includes almost every major author currently working in the field. The papers are on the cutting edge of the literature some of which discuss current debates and others present important new ideas. The editors have avoided papers about technical details of paraconsistent logic, but instead concentrated upon works that discuss more "big picture" ideas. Different treatments of paradoxes takes centre stage in many of the papers, but also there are several papers on how to interpret paraconistent logic and some on how it can be applied to philosophy of mathematics, the philosophy of language, and metaphysics.
Download or read book Rationality and Logic written by Robert Hanna and published by MIT Press. This book was released on 2009-01-23 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: An argument that logic is intrinsically psychological and human psychology is intrinsically logical, and that the connection between human rationality and logic is both constitutive and mutual. In Rationality and Logic, Robert Hanna argues that logic is intrinsically psychological and that human psychology is intrinsically logical. He claims that logic is cognitively constructed by rational animals (including humans) and that rational animals are essentially logical animals. In order to do so, he defends the broadly Kantian thesis that all (and only) rational animals possess an innate cognitive "logic faculty." Hanna's claims challenge the conventional philosophical wisdom that sees logic as a fully formal or "topic-neutral" science irreconcilably separate from the species- or individual-specific focus of empirical psychology.Logic and psychology went their separate ways after attacks by Frege and Husserl on logical psychologism—the explanatory reduction of logic to empirical psychology. Hanna argues, however, that—despite the fact that logical psychologism is false—there is an essential link between logic and psychology. Rational human animals constitute the basic class of cognizers or thinkers studied by cognitive psychology; given the connection between rationality and logic that Hanna claims, it follows that the nature of logic is significantly revealed to us by cognitive psychology. Hanna's proposed "logical cognitivism" has two important consequences: the recognition by logically oriented philosophers that psychologists are their colleagues in the metadiscipline of cognitive science; and radical changes in cognitive science itself. Cognitive science, Hanna argues, is not at bottom a natural science; it is both an objective or truth-oriented science and a normative human science, as is logic itself.
Download or read book Modal Logic for Philosophers written by James W. Garson and published by Cambridge University Press. This book was released on 2006-08-14 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2006 book provides an accessible, yet technically sound treatment of modal logic and its philosophical applications.
Download or read book Systems of Logic written by Norman M. Martin and published by Cambridge University Press. This book was released on 1989-07-28 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced study of systems of propositional logic offers a comprehensive account of a wide variety of logical systems and encourages students to take a critical stance toward the subject. A great variety of systems and subsystems are defined and compared as regards their deductive power and relation to their model theory. Special attention is given to the weakenings of classical logic and a more refined treatment of modal logic is presented.
Download or read book The Iconic Logic of Peirce s Graphs written by Sun-Joo Shin and published by MIT Press. This book was released on 2002 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: A case study of multimodal systems and a new interpretation of Charles S. Peirce's theory of reasoning and signs based on an analysis of his system of Existential Graphs. At the dawn of modern logic, Charles S. Peirce invented two types of logical systems, one symbolic and the other graphical. In this book Sun-Joo Shin explores the philosophical roots of the birth of Peirce's Existential Graphs in his theory of representation and logical notation. Shin demonstrates that Peirce is the first philosopher to lay a solid philosophical foundation for multimodal representation systems. Shin analyzes Peirce's well-known, but much-criticized nonsymbolic representation system. She presents a new approach to his graphical system based on her discovery of its unique nature and on a reconstruction of Peirce's theory of representation. By seeking to understand graphical systems on their own terms, she uncovers the reasons why graphical systems, and Existential Graphs in particular, have been underappreciated among logicians. Drawing on perspectives from the philosophy of mind, cognitive science, logic, and computer science, Shin provides evidence for a genuinely interdisciplinary project on multimodal reasoning.
Download or read book Philosophical Logic written by John P. Burgess and published by Princeton University Press. This book was released on 2009-07-26 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Philosophical Logic is a clear and concise critical survey of nonclassical logic, 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. The book provides a 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 stresses the problem of connecting formal systems to the motivating ideas behind intuitionistic mathematics. Requiring minimal background and arranged to make the more technical material optional, Philosophical Logic offers a choice between an overview and in-depth study, and it balances the philosophical and technical aspects of the subject."--Page 4 de la couverture.
Download or read book The Problem of Plurality of Logics written by Pavel Arazim and published by Bloomsbury Publishing. This book was released on 2021-08-12 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the foundation of our rationality, logic has traditionally been considered fixed, stable and constant. This conception of the discipline has been challenged recently by the plurality of logics and in this book, Pavel Arazim extends the debate to offer a new view of logic as dynamic and without a definite, specific shape. The Problem of Plurality of Logics examines the origins of our standard view of logic alongside Kant's theories, the holistic view, the issue of logic's pragmatic significance and Robert Brandom's logical expressivism. Arazim then draws on proof-theoretical approaches to present a convincing argument for a dynamic version of logical inferentialism, which opens space for a new freedom to modify our own logic. He explores the scope, possibilities and limits of this freedom in order to highlight the future paths logic could take, as a motivation for further research. Marking a departure from logical monism and also from the recent doctrine of logical pluralism in its various forms, this book addresses current debates concerning the expressive role of logic and contributes to a lively area of discussion in analytic philosophy.
Download or read book Logic for Philosophy written by Theodore Sider and published by Oxford University Press, USA. This book was released on 2010 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 dophilosophy.
