Author: JC Beall
Publisher: Oxford University Press
ISBN: 0199288402
Category : Philosophy
Languages : en
Pages : 152
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Book Description
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.
Author: JC Beall
Publisher: Clarendon Press
ISBN: 0191537144
Category : Philosophy
Languages : en
Pages : 152
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Book Description
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.
Author: Stewart Shapiro
Publisher:
ISBN: 0199696527
Category : Logic
Languages : en
Pages : 235
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Book Description
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.
Author: Erik Stei
Publisher: Cambridge University Press
ISBN: 1108494668
Category : Philosophy
Languages : en
Pages : 229
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Book Description
Author: Jeremy Wyatt
Publisher: Springer
ISBN: 3319983466
Category : Philosophy
Languages : en
Pages : 483
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Book Description
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.
Author: Scott F. Aikin
Publisher: Routledge
ISBN: 1351811312
Category : Philosophy
Languages : en
Pages : 265
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Book Description
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.
Author: Penelope Rush
Publisher: Cambridge University Press
ISBN: 1107039649
Category : Mathematics
Languages : en
Pages : 279
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Book Description
This wide-ranging collection of essays explores the nature of logic and the key issues and debates in the metaphysics of logic.
Author: Alex Oliver
Publisher: Oxford University Press, USA
ISBN: 0198744382
Category : Language Arts & Disciplines
Languages : en
Pages : 399
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Book Description
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.
Author: C. Mantzavinos
Publisher: Cambridge University Press
ISBN: 1316668487
Category : Science
Languages : en
Pages : 237
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Book Description
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.
Author: Pavel Arazim
Publisher: Bloomsbury Publishing
ISBN: 1350146773
Category : Philosophy
Languages : en
Pages : 185
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Book Description
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.
