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Logical Pluralism
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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.
Download or read book Logical Pluralism written by JC Beall and published by Clarendon Press. This book was released on 2005-11-24 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Consequence is at the heart of logic; an account of consequence, of what follows from what, offers a vital tool in the evaluation of arguments. Since philosophy itself proceeds by way of argument and inference, a clear view of what logical consequence amounts to is of central importance to the whole discipline. In this book JC Beall and Greg Restall present and defend what thay call logical pluralism, arguing that the notion of logical consequence doesn't pin down one deductive consequence relation; it allows for many of them. In particular, they argue that broadly classical, intuitionistic, and relevant accounts of deductive logic are genuine logical consequence relations; we should not search for one true logic, since there are many. Their conclusions have profound implications for many linguists as well as for philosophers.
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 Logical Pluralism and Logical Consequence by : Erik Stei
Download or read book Logical Pluralism and Logical Consequence written by Erik Stei and published by Cambridge University Press. This book was released on 2023-04-30 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Pluralisms in Truth and Logic by : Jeremy Wyatt
Download or read book Pluralisms in Truth and Logic written by Jeremy Wyatt and published by Springer. This book was released on 2018-12-29 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume brings together 18 state-of-the art essays on pluralism about truth and logic. Parts I and II are dedicated to respectively truth pluralism and logical pluralism, and Part III to their interconnections. Some contributors challenge pluralism, arguing that the nature of truth or logic is uniform. The majority of contributors, however, defend pluralism, articulate novel versions of the view, or contribute to fundamental debates internal to the pluralist camp. The volume will be of interest to truth theorists and philosophers of logic, as well as philosophers interested in relativism, contextualism, metaphysics, philosophy of language, semantics, paradox, epistemology, or normativity.
Book Synopsis Pragmatism, Pluralism, and the Nature of Philosophy by : Scott F. Aikin
Download or read book Pragmatism, Pluralism, and the Nature of Philosophy written by Scott F. Aikin and published by Routledge. This book was released on 2017-10-30 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the past fifteen years, Aikin and Talisse have been working collaboratively on a new vision of American pragmatism, one which sees pragmatism as a living and developing philosophical idiom that originates in the work of the "classical" pragmatisms of Charles Peirce, William James, and John Dewey, uninterruptedly develops through the later 20th Century pragmatists (C. I. Lewis, Wilfrid Sellars, Nelson Goodman, W. V. O. Quine), and continues through the present day. According to Aikin and Talisse, pragmatism is fundamentally a metaphilosophical proposal – a methodological suggestion for carrying inquiry forward amidst ongoing deep disagreement over the aims, limitations, and possibilities of philosophy. This conception of pragmatism not only runs contrary to the dominant self-understanding among cotemporary philosophers who identify with the classical pragmatists, it also holds important implications for pragmatist philosophy. In particular, Aikin and Talisse show that their version of pragmatism involves distinctive claims about epistemic justification, moral disagreement, democratic citizenship, and the conduct of inquiry. The chapters combine detailed engagements with the history and development of pragmatism with original argumentation aimed at a philosophical audience beyond pragmatism.
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.
Download or read book Plural Logic written by Alex Oliver and published by Oxford University Press, USA. This book was released on 2016 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Alex Oliver and Timothy Smiley provide a new account of plural logic. They argue that there is such a thing as genuinely plural denotation in logic, and expound a framework of ideas that includes the distinction between distributive and collective predicates, the theory of plural descriptions, multivalued functions, and lists.
Book Synopsis The Problem of Plurality of Logics by : Pavel Arazim
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 185 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.
Book Synopsis Explanatory Pluralism by : C. Mantzavinos
Download or read book Explanatory Pluralism written by C. Mantzavinos and published by Cambridge University Press. This book was released on 2016-05-26 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explaining phenomena is one of the main activities in which scientists engage. This book proposes a new philosophical theory of scientific explanation by developing and defending the position of explanatory pluralism with the help of the notion of 'explanatory games'. Mantzavinos provides a descriptive account of the explanatory activity of scientists in different domains and shows how they differ from commonsensical explanations offered in everyday life by ordinary people and also from explanations offered in religious contexts. He also shows how an evaluation and a critical appraisal of explanations put forward in different social arenas can take place on the basis of different values. Explanatory Pluralism provides solutions to all important descriptive and normative problems of the philosophical theory of explanation as illustrated in sophisticated case studies from economics and medicine, but also from mythology and religion.
Book Synopsis Paraconsistency by : Walter Alexandr Carnielli
Download or read book Paraconsistency written by Walter Alexandr Carnielli and published by CRC Press. This book was released on 2002-04-10 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a study on the foundations of a large class of paraconsistent logics from the point of view of the logics of formal inconsistency. It also presents several systems of non-standard logics with paraconsistent features.
Book Synopsis The Road to Universal Logic by : Arnold Koslow
Download or read book The Road to Universal Logic written by Arnold Koslow and published by Springer. This book was released on 2014-10-10 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of a collection of papers in honor of the fiftieth birthday of Jean-Yves Béziau. These 25 papers have been written by internationally distinguished logicians, mathematicians, computer scientists, linguists and philosophers, including Arnon Avron, John Corcoran, Wilfrid Hodges, Laurence Horn, Lloyd Humbertsone, Dale Jacquette, David Makinson, Stephen Read, and Jan Woleński. It is a state-of-the-art source of cutting-edge studies in the new interdisciplinary field of universal logic. The papers touch upon a wide range of topics including combination of logic, non-classical logic, square and other geometrical figures of opposition, categorical logic, set theory, foundation of logic, philosophy and history of logic (Aristotle, Avicenna, Buridan, Schröder, MacColl). This book offers new perspectives and challenges in the study of logic and will be of interest to all students and researchers interested the nature and future of logic.
Book Synopsis Hilary Putnam on Logic and Mathematics by : Geoffrey Hellman
Download or read book Hilary Putnam on Logic and Mathematics written by Geoffrey Hellman and published by Springer. This book was released on 2018-12-06 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the research of Professor Hilary Putnam, a Harvard professor as well as a leading philosopher, mathematician and computer scientist. It features the work of distinguished scholars in the field as well as a selection of young academics who have studied topics closely connected to Putnam’s work. It includes 12 papers that analyze, develop, and constructively criticize this notable professor's research in mathematical logic, the philosophy of logic and the philosophy of mathematics. In addition, it features a short essay presenting reminiscences and anecdotes about Putnam from his friends and colleagues, and also includes an extensive bibliography of his work in mathematics and logic. The book offers readers a comprehensive review of outstanding contributions in logic and mathematics as well as an engaging dialogue between prominent scholars and researchers. It provides those interested in mathematical logic, the philosophy of logic, and the philosophy of mathematics unique insights into the work of Hilary Putnam.
Book Synopsis Doubt Truth to be a Liar by : Graham Priest
Download or read book Doubt Truth to be a Liar written by Graham Priest and published by Oxford University Press. This book was released on 2006 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book is required reading for anyone who wishes to understand dialetheism; (especially) for anyone who wishes to continue to endorse the old Aristotelian orthodoxy; and, more generally, for anyone who wishes to understand the role that contradiction plays in our thinking."--BOOK JACKET.
Download or read book Other Logics written by Admir Skodo and published by BRILL. This book was released on 2014-03-13 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Other Logics: Alternatives to Formal Logic in the History of Thought and Contemporary Philosophy challenges the widespread idea of formal logic as inherently monolithic, universal, and ahistorical. Written by both leading and up-and-coming scholars, and edited by Admir Skodo, Other Logics offers a wide variety of historical and philosophical alternatives to this idea, all arguing that logic is a historical, concrete, and multi-dimensional phenomenon. To name a few examples, Frank Ankersmit lays down a representationalist logic, Alessandra Tanesini forcefully argues for the possibility of logical aliens, Christopher Watkin analyzes how leading contemporary French philosophers view the idea of logic, and Aaron Wendland unearths Heidegger's critique of formal logic. In Other Logics readers will find provocative interventions in a highly contested field in contemporary philosophy. Contributors include: Frank Ankersmit, Christopher Watkin, Giuseppina D'Oro, Alessandra Tanesini, Admir Skodo, Aaron Wendland, Ervik Cejvan, Anders Kraal, Christopher Fear, Karim Dharamsi, Johan Modée, and Thord Svensson.
Book Synopsis Unity and Plurality by : Massimiliano Carrara
Download or read book Unity and Plurality written by Massimiliano Carrara and published by Oxford University Press. This book was released on 2016 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unity and Plurality presents novel ways of thinking about plurality while casting new light on the interconnections among the logical, philosophical, and linguistic aspects of plurals. The volume brings together new work on the logic and ontology of plurality and on the semantics of plurals in natural language. Plural reference, the view that definite plurals such as 'the students' refer to several entities at once (the individual students), is an approach favoured by logicians and philosophers, who take sentences with plurals ('the students gathered') not to be committed to entities beyond individuals, entities such as classes, sums, or sets. By contrast, linguistic semantics has been dominated by a singularist approach to plurals, taking the semantic value of a definite plural such as 'the students' to be a mereological sum or set. Moreover, semantics has been dominated by a particular ontological view of plurality, that of extensional mereology. This volume aims to build a bridge between the two traditions and to show the fruitfulness of nonstandard mereological approaches. A team of leading experts investigates new perspectives that arise from plural logic and non-standard mereology and explore novel applications to natural language phenomena.
Book Synopsis An Introduction to the Philosophy of Logic by : Daniel Cohnitz
Download or read book An Introduction to the Philosophy of Logic written by Daniel Cohnitz and published by Cambridge University Press. This book was released on 2019-05-16 with total page 283 pages. Available in PDF, EPUB and Kindle. Book 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.
