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The Concept Of Logical Consequence
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Book Synopsis The Concept of Logical Consequence by : John Etchemendy
Download or read book The Concept of Logical Consequence written by John Etchemendy and published by Stanford Univ Center for the Study. This book was released on 1999 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to correct a common misunderstanding of a technique of mathematical logic.
Book Synopsis The Concept of Logical Consequence by : John Etchemendy
Download or read book The Concept of Logical Consequence written by John Etchemendy and published by . This book was released on 1990 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Of course we all know now that mathematics has proved that logic doesn't really make sense, but Etchemendy (philosophy, Stanford Univ.) goes further and challenges the received view of the conceptual underpinnings of modern logic by arguing that Tarski's model-theoretic analysis of logical consequences is wrong. He may have found the soft underbelly of the dead horse. Annotation copyrighted by Book News, Inc., Portland, OR
Book Synopsis The Concept of Logical Consequence by : Matthew W. McKeon
Download or read book The Concept of Logical Consequence written by Matthew W. McKeon and published by Peter Lang. This book was released on 2010 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Foundations of Logical Consequence by : Colin R. Caret
Download or read book Foundations of Logical Consequence written by Colin R. Caret and published by Mind Association Occasional. This book was released on 2015 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logical consequence is the relation that obtains between premises and conclusion(s) in a valid argument. Orthodoxy has it that valid arguments are necessarily truth-preserving, but this platitude only raises a number of further questions, such as: how does the truth of premises guarantee the truth of a conclusion, and what constraints does validity impose on rational belief? This volume presents thirteen essays by some of the most important scholars in the field of philosophical logic. The essays offer ground-breaking new insights into the nature of logical consequence; the relation between logic and inference; how the semantics and pragmatics of natural language bear on logic; the relativity of logic; and the structural properties of the consequence relation.
Book Synopsis Logical Consequences by : Rudolf Dreikurs
Download or read book Logical Consequences written by Rudolf Dreikurs and published by Dutton Adult. This book was released on 1968 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proposes a system of discipline based on natural and logical consequences.
Book Synopsis Logical Consequences by : Rudolf Dreikurs
Download or read book Logical Consequences written by Rudolf Dreikurs and published by Plume Books. This book was released on 1993 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Logical Pluralism written by JC Beall and published by Oxford University Press. This book was released on 2006 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Consequence is at the heart of logic, and an account of consequence offers a vital tool in the evaluation of arguments. This text presents what the authors term as 'logical pluralism' arguing that the notion of logical consequence doesn't pin down one deductive consequence relation; it allows for many of them.
Book Synopsis The Semantic Conception of Logic by : Gil Sagi
Download or read book The Semantic Conception of Logic written by Gil Sagi and published by Cambridge University Press. This book was released on 2021-09-09 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of new essays presents cutting-edge research on the semantic conception of logic, the invariance criteria of logicality, grammaticality, and logical truth. Contributors explore the history of the semantic tradition, starting with Tarski, and its historical applications, while central criticisms of the tradition, and especially the use of invariance criteria to explain logicality, are revisited by the original participants in that debate. Other essays discuss more recent criticism of the approach, and researchers from mathematics and linguistics weigh in on the role of the semantic tradition in their disciplines. This book will be invaluable to philosophers and logicians alike.
Book Synopsis The Metaphysics of Logical Consequence by : Alexandra Zinke
Download or read book The Metaphysics of Logical Consequence written by Alexandra Zinke and published by Verlag Vittorio Klostermann. This book was released on 2018 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book discusses the central notion of logic: the concept of logical consequence. It shows that the classical definition of consequence as truth preservation in all models must be restricted to all admissible models. The challenge for the philosophy of logic is therefore to supplement the definition with a criterion for admissible models. The problem of logical constants, so prominent in the current debate, constitutes but a special case of this much more general demarcation problem. The book explores the various dimensions of the problem of admissible models and argues that standard responses are unwarranted. As a result, it develops a new vision of logic, suggesting in particular that logic is deeply imbued with metaphysics.
Book Synopsis Logical Consequences by : Luis M Augusto
Download or read book Logical Consequences written by Luis M Augusto and published by . This book was released on 2017-02-22 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of logical consequence is central in modern logic and its applications. However, it is mostly dispersed in an abundance of often difficultly accessible papers, and rarely treated with applications in mind. This book collects the most fundamental aspects of this theory and offers the reader the basics of its applications in computer science, artificial intelligence, and cognitive science, to name but the most important fields where this notion finds its many applications. Both deductive and non-deductive consequence are discussed. The starting point is classical deductive consequence: classical logic is the reference system, and the non-classical deductive systems are seen as extensions, deviations, or variations thereof. The discussion of non-classical deductive consequence focuses on many-valued, intuitionistic, modal, paraconsistent, and substructural logical consequences. The topic of non-deductive consequence is elaborated on from the viewpoints of abductive, inductive, and probabilistic logics. All in all, the major contemporary (classes of) logical systems are here discussed. The approach is mathematical in essence, and the mathematical background, mainly founded on order relations, is treated thoroughly and in an accessible way for the non-mathematician.
Book Synopsis Logic for Philosophy by : Theodore Sider
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.
Book Synopsis Varieties of Logic by : Stewart Shapiro
Download or read book Varieties of Logic written by Stewart Shapiro and published by . This book was released on 2014 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logical pluralism is the view that different logics are equally appropriate, or equally correct. Logical relativism is a pluralism according to which validity and logical consequence are relative to something. In Varieties of Logic, Stewart Shapiro develops several ways in which one can be a pluralist or relativist about logic. One of these is an extended argument that words and phrases like "valid" and "logical consequence" are polysemous or, perhaps better, are cluster concepts. The notions can be sharpened in various ways. This explains away the "debates" in the literature between inferentialists and advocates of a truth-conditional, model-theoretic approach, and between those who advocate higher-order logic and those who insist that logic is first-order. A significant kind of pluralism flows from an orientation toward mathematics that emerged toward the end of the nineteenth century, and continues to dominate the field today. The theme is that consistency is the only legitimate criterion for a theory. Logical pluralism arises when one considers a number of interesting and important mathematical theories that invoke a non-classical logic, and are rendered inconsistent, and trivial, if classical logic is imposed. So validity is relative to a theory or structure. The perspective raises a host of important questions about meaning. The most significant of these concern the semantic content of logical terminology, words like 'or', 'not', and 'for all', as they occur in rigorous mathematical deduction. Does the intuitionistic 'not', for example, have the same meaning as its classical counterpart? Shapiro examines the major arguments on the issue, on both sides, and finds them all wanting. He then articulates and defends a thesis that the question of meaning-shift is itself context-sensitive and, indeed, interest-relative. He relates the issue to some prominent considerations concerning open texture, vagueness, and verbal disputes. Logic is ubiquitous. Whenever there is deductive reasoning, there is logic. So there are questions about logical pluralism that are analogous to standard questions about global relativism. The most pressing of these concerns foundational studies, wherein one compares theories, sometimes with different logics, and where one figures out what follows from what in a given logic. Shapiro shows that the issues are not problematic, and that is usually easy to keep track of the logic being used and the one mentioned.
Book Synopsis Theory of Logical Calculi by : Ryszard Wójcicki
Download or read book Theory of Logical Calculi written by Ryszard Wójcicki and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: The general aim of this book is to provide an elementary exposition of some basic concepts in terms of which both classical and non-dassicallogirs may be studied and appraised. Although quantificational logic is dealt with briefly in the last chapter, the discussion is chiefly concemed with propo gjtional cakuli. Still, the subject, as it stands today, cannot br covered in one book of reasonable length. Rather than to try to include in the volume as much as possible, I have put emphasis on some selected topics. Even these could not be roverrd completely, but for each topic I have attempted to present a detailed and precise t'Xposition of several basic results including some which are non-trivial. The roots of some of the central ideas in the volume go back to J. Luka siewicz's seminar on mathematicallogi.
Book Synopsis Logic as a Tool by : Valentin Goranko
Download or read book Logic as a Tool written by Valentin Goranko and published by John Wiley & Sons. This book was released on 2016-09-02 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in a clear, precise and user-friendly style, Logic as a Tool: A Guide to Formal Logical Reasoning is intended for undergraduates in both mathematics and computer science, and will guide them to learn, understand and master the use of classical logic as a tool for doing correct reasoning. It offers a systematic and precise exposition of classical logic with many examples and exercises, and only the necessary minimum of theory. The book explains the grammar, semantics and use of classical logical languages and teaches the reader how grasp the meaning and translate them to and from natural language. It illustrates with extensive examples the use of the most popular deductive systems -- axiomatic systems, semantic tableaux, natural deduction, and resolution -- for formalising and automating logical reasoning both on propositional and on first-order level, and provides the reader with technical skills needed for practical derivations in them. Systematic guidelines are offered on how to perform logically correct and well-structured reasoning using these deductive systems and the reasoning techniques that they employ. •Concise and systematic exposition, with semi-formal but rigorous treatment of the minimum necessary theory, amply illustrated with examples •Emphasis both on conceptual understanding and on developing practical skills •Solid and balanced coverage of syntactic, semantic, and deductive aspects of logic •Includes extensive sets of exercises, many of them provided with solutions or answers •Supplemented by a website including detailed slides, additional exercises and solutions For more information browse the book's website at: https://logicasatool.wordpress.com
Book Synopsis The Construction of Logical Space by : Agustín Rayo
Download or read book The Construction of Logical Space written by Agustín Rayo and published by . This book was released on 2013-06-27 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our conception of logical space is the set of distinctions we use to navigate the world. Agustín Rayo argues that this is shaped by acceptance or rejection of 'just is'-statements: e.g. 'to be composed of water just is to be composed of H2O'. He offers a novel conception of metaphysical possibility, and a new trivialist philosophy of mathematics.
Book Synopsis Philosophy of Logical Systems by : Jaroslav Peregrin
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 188 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.
Book Synopsis The Metaphysics of Logic by : Penelope Rush
Download or read book The Metaphysics of Logic written by Penelope Rush and published by Cambridge University Press. This book was released on 2014-10-16 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This wide-ranging collection of essays explores the nature of logic and the key issues and debates in the metaphysics of logic.
