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Philosophy of Logic

Philosophy of Logic
Author:
Publisher: Elsevier
Total Pages: 1219
Release: 2006-11-29
Genre: Mathematics
ISBN: 008046663X

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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

Logic for Philosophy
Author: Theodore Sider
Publisher: Oxford University Press
Total Pages: 305
Release: 2010-01-07
Genre: Philosophy
ISBN: 0192658816

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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.


Philosophical Logic

Philosophical Logic
Author: John P. Burgess
Publisher: Princeton University Press
Total Pages: 167
Release: 2009-07-26
Genre: Philosophy
ISBN: 0691137897

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"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.


The Logic in Philosophy of Science

The Logic in Philosophy of Science
Author: Hans Halvorson
Publisher: Cambridge University Press
Total Pages: 305
Release: 2019-07-11
Genre: Philosophy
ISBN: 1107110998

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


Philosophy of Logic (Routledge Revivals)

Philosophy of Logic (Routledge Revivals)
Author: Hilary Putnam
Publisher: Routledge
Total Pages: 86
Release: 2014-04-04
Genre: Philosophy
ISBN: 1317832582

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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.


Philosophy of Logic, 2nd Edition

Philosophy of Logic, 2nd Edition
Author: W. V. QUINE
Publisher: Harvard University Press
Total Pages: 122
Release: 2009-06-30
Genre: Philosophy
ISBN: 0674042441

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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.


The Logic of Information

The Logic of Information
Author: Luciano Floridi
Publisher: Oxford University Press
Total Pages: 224
Release: 2019-01-21
Genre: Mathematics
ISBN: 0192570277

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Luciano Floridi presents an innovative approach to philosophy, conceived as conceptual design. He explores how we make, transform, refine, and improve the objects of our knowledge. His starting point is that reality provides the data, to be understood as constraining affordances, and we transform them into information, like semantic engines. Such transformation or repurposing is not equivalent to portraying, or picturing, or photographing, or photocopying anything. It is more like cooking: the dish does not represent the ingredients, it uses them to make something else out of them, yet the reality of the dish and its properties hugely depend on the reality and the properties of the ingredients. Models are not representations understood as pictures, but interpretations understood as data elaborations, of systems. Thus, he articulates and defends the thesis that knowledge is design and philosophy is the ultimate form of conceptual design. Although entirely independent of Floridi's previous books, The Philosophy of Information (OUP 2011) and The Ethics of Information (OUP 2013), The Logic of Information both complements the existing volumes and presents new work on the foundations of the philosophy of information.


Philosophy of Logical Systems

Philosophy of Logical Systems
Author: Jaroslav Peregrin
Publisher: Routledge
Total Pages: 198
Release: 2019-11-11
Genre: Philosophy
ISBN: 1000726843

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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.


Logic and Philosophy

Logic and Philosophy
Author: William H. Brenner
Publisher: University of Notre Dame Pess
Total Pages: 234
Release: 1993-09-30
Genre: Philosophy
ISBN: 0268158983

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The dual purpose of this volume—to provide a distinctively philosophical introduction to logic, as well as a logic-oriented approach to philosophy—makes this book a unique and worthwhile primary text for logic and/or philosophy courses. Logic and Philosophy covers a variety of elementary formal and informal types of reasoning, including a chapter on traditional logic that culminates in a treatment of Aristotle's philosophy of science; a truth-functional logic chapter that examines Wittgenstein's philosophy of language, logic, and mysticism; and sections on induction, analogy, and fallacies that incorporate material on mind-body dualism, pseudoscience, the "raven paradox," and proofs of God. Throughout the book Brenner highlights passages and ideas from various prominent philosophers, and discusses at some length the work of Plato, Aristotle, Descartes, Kant, and Wittgenstein.


An Introduction to the Philosophy of Logic

An Introduction to the Philosophy of Logic
Author: Daniel Cohnitz
Publisher: Cambridge University Press
Total Pages: 312
Release: 2019-05-16
Genre: Philosophy
ISBN: 1108603289

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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.