One True Logic

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One True Logic
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Author : Owen Griffiths
language : en
Publisher: Oxford University Press
Release Date : 2022-05-12
One True Logic written by Owen Griffiths and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-12 with Philosophy categories.
Logical monism is the claim that there is a single correct logic, the 'one true logic' of our title. The view has evident appeal, as it reflects assumptions made in ordinary reasoning as well as in mathematics, the sciences, and the law. In all these spheres, we tend to believe that there are determinate facts about the validity of arguments. Despite its evident appeal, however, logical monism must meet two challenges. The first is the challenge from logical pluralism, according to which there is more than one correct logic. The second challenge is to determine which form of logical monism is the correct one. One True Logic is the first monograph to explicitly articulate a version of logical monism and defend it against the first challenge. It provides a critical overview of the monism vs pluralism debate and argues for the former. It also responds to the second challenge by defending a particular monism, based on a highly infinitary logic. It breaks new ground on a number of fronts and unifies disparate discussions in the philosophical and logical literature. In particular, it generalises the Tarski-Sher criterion of logicality, provides a novel defence of this generalisation, offers a clear new argument for the logicality of infinitary logic and replies to recent pluralist arguments.
One True Logic
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Author : Owen Griffiths (Lecturer in philosophy)
language : en
Publisher:
Release Date : 2022
One True Logic written by Owen Griffiths (Lecturer in philosophy) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with Logic categories.
Introduction To Logic
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Author : Irving M. Copi
language : en
Publisher: Routledge
Release Date : 2018-09-03
Introduction To Logic written by Irving M. Copi and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-03 with Philosophy categories.
For more than six decades, and for thousands of students, Introduction to Logic has been the gold standard in introductory logic texts. In this fifteenth edition, Carl Cohen and Victor Rodych update Irving M. Copi’s classic text, improving on its many strengths and introducing new and helpful material that will greatly assist both students and instructors. In particular, chapters 1, 8, and 9 have been greatly enhanced without disturbing the book’s clear and gradual pedagogical approach. Specifically: Chapter 1 now uses a simpler and better definition of "deductive validity," which enhances the rest of the book (especially chapters 1 and 8-10, and their new components). Chapter 8 now has: Simpler definitions of "simple statement" and "compound statement" More and more detailed examples of the Complete Truth-Table Method. Chapter 9 now has: A detailed, step-by-step account of the Shorter Truth-Table Method (with detailed step-by-step examples for conclusions of different types) A more complete and detailed account of Indirect Proof A detailed justification for Indirect Proof treating each of the three distinct ways in which an argument can be valid A new section on Conditional Proof, which complements the 19 Rules of Inference and Indirect Proof Explications of proofs of tautologies using both Indirect Proof and Conditional Proof A new section at the end of the chapter explaining the important difference between sound and demonstrative arguments. The Appendices now include: A new appendix on making the Shorter Truth-Table Technique (STTT) more efficient by selecting the most efficient sequence of STTT steps A new appendix on Step 1 calculations for multiple-line shorter truth tables A new appendix on unforced truth-value assignments, invalid arguments, and Maxims III-V. In addition, a Companion Website will offer: for Students: A Proof Checker Complete Truth Table Exercises Shorter Truth-Table Exercises A Truth-Table Video Venn Diagram Testing of Syllogisms Hundreds of True/False and Multiple Choice Questions for Instructors: An Instructor’s Manual A Solutions Manual www.routledge.com/cw/9781138500860
Varieties Of Logic
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Author : Stewart Shapiro
language : en
Publisher: OUP Oxford
Release Date : 2014-09-04
Varieties Of Logic written by Stewart Shapiro and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-04 with Philosophy categories.
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.
Logic Epistemology And The Unity Of Science
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Author : Shahid Rahman
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-03-16
Logic Epistemology And The Unity Of Science written by Shahid Rahman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-16 with Philosophy categories.
The first volume in this new series explores, through extensive co-operation, new ways of achieving the integration of science in all its diversity. The book offers essays from important and influential philosophers in contemporary philosophy, discussing a range of topics from philosophy of science to epistemology, philosophy of logic and game theoretical approaches. It will be of interest to philosophers, computer scientists and all others interested in the scientific rationality.
The Oxford Handbook Of Truth
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Author : Michael Glanzberg
language : en
Publisher: Oxford University Press
Release Date : 2018-06-26
The Oxford Handbook Of Truth written by Michael Glanzberg and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-26 with Philosophy categories.
Truth is one of the central concepts in philosophy, and has been a perennial subject of study. Michael Glanzberg has brought together 36 leading experts from around the world to produce the definitive guide to philosophical issues to do with truth. They consider how the concept of truth has been understood from antiquity to the present day, surveying major debates about truth during the emergence of analytic philosophy. They offer critical assessments of the standard theories of truth, including the coherence, correspondence, identity, and pragmatist theories. They explore the role of truth in metaphysics, with lively discussion of truthmakers, proposition, determinacy, objectivity, deflationism, fictionalism, relativism, and pluralism. Finally the handbook explores broader applications of truth in philosophy, including ethics, science, and mathematics, and reviews formal work on truth and its application to semantic paradox. This Oxford Handbook will be an invaluable resource across all areas of philosophy.
The Problem Of Plurality Of Logics
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Author : Pavel Arazim
language : en
Publisher: Bloomsbury Publishing
Release Date : 2021-08-12
The Problem Of Plurality Of Logics written by Pavel Arazim and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-12 with Philosophy categories.
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.
Logic A History Of Its Central Concepts
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Author : Dov M. Gabbay
language : en
Publisher: Newnes
Release Date : 2012-12-31
Logic A History Of Its Central Concepts written by Dov M. Gabbay and has been published by Newnes this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-31 with Mathematics categories.
The Handbook of the History of Logic is a multi-volume research instrument that brings to the development of logic the best in modern techniques of historical and interpretative scholarship. It is the first work in English in which the history of logic is presented so extensively. The volumes are numerous and large. Authors have been given considerable latitude to produce chapters of a length, and a level of detail, that would lay fair claim on the ambitions of the project to be a definitive research work. Authors have been carefully selected with this aim in mind. They and the Editors join in the conviction that a knowledge of the history of logic is nothing but beneficial to the subject's present-day research programmes. One of the attractions of the Handbook's several volumes is the emphasis they give to the enduring relevance of developments in logic throughout the ages, including some of the earliest manifestations of the subject. - Covers in depth the notion of logical consequence - Discusses the central concept in logic of modality - Includes the use of diagrams in logical reasoning
The Routledge Handbook Of Logical Empiricism
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Author : Thomas Uebel
language : en
Publisher: Taylor & Francis
Release Date : 2021-12-27
The Routledge Handbook Of Logical Empiricism written by Thomas Uebel and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-27 with Philosophy categories.
Logical empiricism is a philosophical movement that flourished in the 1920s and 30s in Central Europe and in the 1940s and 50s in the United States. With its stated ambition to comprehend the revolutionary advances in the empirical and formal sciences of their day and to confront anti-modernist challenges to scientific reason itself, logical empiricism was never uncontroversial. Uniting key thinkers who often disagreed with one another but shared the aim to conceive of philosophy as part of the scientific enterprise, it left a rich and varied legacy that has only begun to be explored relatively recently. The Routledge Handbook of Logical Empiricism is an outstanding reference source to this challenging subject area, and the first collection of its kind. Comprising 41 chapters written by an international and interdisciplinary team of contributors, the Handbook is organized into four clear parts: The Cultural, Scientific and Philosophical Context and the Development of Logical Empiricism Characteristic Theses of and Specific Issues in Logical Empiricism Relations to Philosophical Contemporaries Leading Post-Positivist Criticisms and Legacy Essential reading for students and researchers in the history of twentieth-century philosophy, especially the history of analytical philosophy and the history of philosophy of science, the Handbook will also be of interest to those working in related areas of philosophy influenced by this important movement, including metaphysics and epistemology, philosophy of mind and philosophy of language.
New Essays On Belnap Dunn Logic
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Author : Hitoshi Omori
language : en
Publisher: Springer Nature
Release Date : 2020-01-01
New Essays On Belnap Dunn Logic written by Hitoshi Omori and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-01 with Philosophy categories.
This edited volume collects essays on the four-valued logic known as Belnap-Dunn logic, or first-degree entailment logic (FDE). It also looks at various formal systems closely related to it. These include the strong Kleene logic and the Logic of Paradox. Inside, readers will find reprints of seminal papers written by the fathers of the field: Nuel Belnap and Michael Dunn. In addition, the collection also features a well-known but previously unpublished manuscript of Dunn, an interview with Belnap, and a new essay by Dunn. Besides the original, monumental papers, the book also includes research by leading scholars. They consider the extraordinary importance of Belnap-Dunn logic from several perspectives. They look at how, philosophically, it has served as a basic system of inconsistency-tolerant reasoning, as the core of underlying logics for theories based on dialetheism, and, more recently, for theories based on Buddhist philosophy. Coverage also explores its contributions to computer science, such as knowledge representation and information processing. This mix of seminal papers and insightful analysis by top scholars offers readers a comprehensive outlook on Belnap-Dunn logic and its related expansions, which have been agenda setting for the debate on philosophical logic as well as philosophy of logic. The book will also enhance further discussion on the philosophical issues related to nonclassical logics in general.