Download or read book Logic Without Gaps Or Gluts written by Ben Burgis and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Logic Without Gaps or Gluts written by Benjamin Alan Burgis and published by Springer Nature. This book was released on 2022-02-25 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a defense against non-classical approaches to the paradoxes. The author argues that, despite appearances, the paradoxes give no reason at all to reject classical logic. In fact, he believes classical solutions fare better than non-classical ones with respect to key tests like Curry’s Paradox, a Liar-like paradox that dialetheists are forced to solve in a way totally disjoint from their solution to the Liar. Graham Priest’s In Contradiction was the first major work that advocated the use of non-classical approaches. Since then, these views have moved into the philosophical mainstream. Much of this movement is fueled by a widespread sense that these logically heterodox solutions get to the real nub of the issue. They lack the ad hoc feel of many other solutions to the paradoxes. The author believes that it's long past time for a response to these attacks against classical orthodoxy. He presents a non-logically-revisionary solution to the paradoxes. This title offers a literal way of cashing out the disquotation metaphor. While the details of the view are novel, the idea has a pre-history in the relevant literature. The author examines objections in detail. He rejects each in turn and concludes by comparing the virtues of his logically orthodox approach with those of the paraconsistent and paracomplete competition.
Download or read book Divine Contradiction written by Jc Beall and published by Oxford University Press. This book was released on 2023-04-15 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building on his paradigm-shifting work on the incarnation in The Contradictory Christ (OUP, 2021), Jc Beall extends a robust contradictory theology with an account of the trinity. Throughout the history of the Christian church, heretics, apophatics, mystics, atheists, and many others have long proclaimed that the doctrine of the trinity - one of the central doctrines of the Christian faith - is contradictory. In this work, Beall agrees; however, as Beall convincingly argues, one needn't abandon orthodoxy, play language games, inflate one's metaphysics, nor abandon the standard faith in the face of such divine contradiction. Instead, one can accept central axioms of the trinity at face value and, with a suitable account of logical entailment, accept the 'contradictory truths' thereby entailed. With the clarity and precision that only a logician could provide, Beall provided theology and the Christian church in general with a very simple and viable (and arguably correct) model of divine reality. Unlike the vast number of theologians and philosophers before him, Beall rejects the quest for a logically consistent account of divine reality. The triune god (viz., God) is truly and fully described only via contradiction. As such, attempts to remove the contradiction are attempts to remove truths of God.
Download or read book Paraconsistency Logic and Applications written by Koji Tanaka and published by Springer Science & Business Media. This book was released on 2012-07-26 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: A logic is called 'paraconsistent' if it rejects the rule called 'ex contradictione quodlibet', according to which any conclusion follows from inconsistent premises. While logicians have proposed many technically developed paraconsistent logical systems and contemporary philosophers like Graham Priest have advanced the view that some contradictions can be true, and advocated a paraconsistent logic to deal with them, until recent times these systems have been little understood by philosophers. This book presents a comprehensive overview on paraconsistent logical systems to change this situation. The book includes almost every major author currently working in the field. The papers are on the cutting edge of the literature some of which discuss current debates and others present important new ideas. The editors have avoided papers about technical details of paraconsistent logic, but instead concentrated upon works that discuss more "big picture" ideas. Different treatments of paradoxes takes centre stage in many of the papers, but also there are several papers on how to interpret paraconistent logic and some on how it can be applied to philosophy of mathematics, the philosophy of language, and metaphysics.
Download or read book New Directions in Paraconsistent Logic written by Jean-Yves Beziau and published by Springer. This book was released on 2016-02-08 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book discusses all aspects of paraconsistent logic, including the latest findings, and its various systems. It includes papers by leading international researchers, which address the subject in many different ways: development of abstract paraconsistent systems and new theorems about them; studies of the connections between these systems and other non-classical logics, such as non-monotonic, many-valued, relevant, paracomplete and fuzzy logics; philosophical interpretations of these constructions; and applications to other sciences, in particular quantum physics and mathematics. Reasoning with contradictions is the challenge of paraconsistent logic. The book will be of interest to graduate students and researchers working in mathematical logic, computer science, philosophical logic, linguistics and physics.
Download or read book The Road to Universal Logic written by Arnold Koslow and published by Birkhäuser. This book was released on 2015-06-10 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second volume of a collection of papers offers new perspectives and challenges in the study of logic. It is presented in honor of the fiftieth birthday of Jean-Yves Béziau. The papers touch upon a wide range of topics including paraconsistent logic, quantum logic, geometry of oppositions, categorical logic, computational logic, fundamental logic notions (identity, rule, quantification) and history of logic (Leibniz, Peirce, Hilbert). The volume gathers personal recollections about Jean-Yves Béziau and an autobiography, followed by 25 papers written by internationally distinguished logicians, mathematicians, computer scientists, linguists and philosophers, including Irving Anellis, Dov Gabbay, Ivor Grattan-Guinness, Istvan Németi, Henri Prade. These essays will be of interest to all students and researchers interested in the nature and future of logic.
Download or read book Chains of Being written by Ross P. Cameron and published by Oxford University Press. This book was released on 2022-03-10 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Chains of Being, Ross P. Cameron argues for both Metaphysical Infinitism, the view that there can be infinitely descending chains of ontological dependence or grounding, with no bottom level of fundamental things or facts, and Metaphysical Holism, the view that there can be circles of ontological dependence or grounding. Cameron argues against the widespread orthodoxy of Metaphysical Foundationalism: that everything in reality is ultimately accounted for by a base class of fundamental phenomena. In doing so, he makes the case against another widespread orthodoxy: that relations like grounding and ontological dependence are explanatory relations. Cameron provides an alternative account of metaphysical explanation that does not tie explanation to determination relations like grounding and ontological dependence, and he shows how explanation works in infinitist and holistic metaphysics. Embracing the possibility of infinite regress and circularity can be theoretically fruitful, as is shown by applying it to a number of cases across a wide range of philosophical areas, including: non-well-founded set theory, mathematical structuralism, the metaphysics of persons, the metaphysics of gender and sexuality, the semantic paradoxes, and others. In the course of exploring these applications, Cameron defends distinctive views concerning when an infinite regress is vicious, the nature of truth, non-classical logic and dialetheism, social construction, and more.
Download or read book Deflationary Truth written by Bradley P. Armour-Garb and published by Open Court Publishing. This book was released on 2005 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deflationism is a recent, but increasingly popular, theory of truth. Deflationists deny the existence of a substantive theory about truth -- an account of the property "truth" that enables all of the facts about truth to be explained. Deflationism rejects all of the existing traditional theories about truth: correspondence, coherence, and pragmatist. Students of philosophy as well as deflationary theorists will appreciate the depth of the articles as well as the exhaustive annotated bibliography in this book.
Download or read book An Introduction to Non Classical Logic written by Graham Priest and published by Cambridge University Press. This book was released on 2008-04-10 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised and considerably expanded 2nd edition brings together a wide range of topics, including modal, tense, conditional, intuitionist, many-valued, paraconsistent, relevant, and fuzzy logics. Part 1, on propositional logic, is the old Introduction, but contains much new material. Part 2 is entirely new, and covers quantification and identity for all the logics in Part 1. The material is unified by the underlying theme of world semantics. All of the topics are explained clearly using devices such as tableau proofs, and their relation to current philosophical issues and debates are discussed. Students with a basic understanding of classical logic will find this book an invaluable introduction to an area that has become of central importance in both logic and philosophy. It will also interest people working in mathematics and computer science who wish to know about the area.
Download or read book Exploring Meinong s Jungle and Beyond written by Richard Routley and published by Springer. This book was released on 2019-02-15 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this first volume of The Sylvan Jungle, the editors present a scholarly edition of the first chapter, "Exploring Meinong's Jungle," of Richard Routley's 1000-plus page book, Exploring Meinong's Jungle and Beyond. Going against the Quinean orthodoxy, Routley’s aim was to support Meinong’s idea that we can truthfully refer to non-existent and even impossible objects, like Superman, unicorns and the (infamous) round-square cupola on Berkeley College. The tools of non-classical logic at Routley’s disposal enabled him to update Meinong’s project for a new generation. This volume begins with an Introduction from Dominic Hyde, “The ‘Jungle Book’ in Context,” an essay that situates Exploring Meinong’s Jungle and Beyond historically. We provide the original Preface by Routley, followed by Chapter 1: “Exploring Meinong’s Jungle and Beyond.” In Chapter 2, Nicholas Griffin argues that Sylvan’s project was insufficiently radical with his essay, “Why the Original Theory of Items Didn’t (Quite) Go Far Enough.” Sylvan revisits his position from this time in Chapter 3, with his article, “Re-Exploring Item-Theory.” Filippo Casati, who has worked in the Routley Archives then takes up the question of the future of Sylvan’s research program in his essay, “The Future Perfect of Exploring Meinong’s Jungle.” Iconic and iconoclastic Australian philosopher Richard Routley (né Sylvan) published Exploring Meinong’s Jungle and Beyond in 1980. This work has fallen out of print, yet without great fanfare it has influenced two generations of philosophers and logicians.
Download or read book The Contradictory Christ written by Jc Beall and published by Oxford University Press. This book was released on 2021-01-14 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this ground-breaking study, Jc Beall shows that the fundamental "problem" of Christology is simple to see from the role that Christ occupies: the Christ figure is to have the divine and essentially limitless properties of the one and only God but Christ is equally to have the human, essentially limit-imposing properties involved in human nature, limits essentially involved in being human. The role that Christ occupies thereby appears to demand a contradiction: all of the limitlessness of God, and all of the limits of humans. This book lays out Beall's contradictory account of Jesus Christ — and thereby a contradictory Christian theology.
Download or read book Give Them an Argument written by Ben Burgis and published by John Hunt Publishing. This book was released on 2019-05-31 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many serious leftists have learned to distrust talk of logic and logical fallacies, associated with right-wing "logicbros". This is a serious mistake. Unlike the neoliberal technocrats, who can point to social problems and tell people "trust us", the serious Left must learn how to argue and persuade. In Give Them an Argument, Ben Burgis arms his reader with the essential knowledge of formal logic and informal fallacies.
Download or read book Truth and the Absence of Fact written by Hartry Field and published by Oxford University Press. This book was released on 2001-03 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hartry Field presents a selection of thirteen essays on a set of related topics at the foundations of philosophy; one essay is previously unpublished, and eight are accompanied by substantial new postscripts.Five of the essays are primarily about truth, meaning, and propositional attitudes, five are primarily about semantic indeterminacy and other kinds of 'factual defectiveness' in our discourse, and three are primarily about issues concerning objectivity, especially in mathematics and in epistemology. The essays on truth, meaning, and the attitudes show a development from a form of correspondence theory of truth and meaning to a more deflationist perspective.The next set of papers argue that a place must be made in semantics for the idea that there are questions about which there is no fact of the matter, and address the difficulties involved in making sense of this, both within a correspondence theory of truth and meaning, and within a deflationary theory. Two papers argue that there are questions in mathematics about which there is no fact of the mattter, and draw out implications of this for the nature of mathematics. And the final paper arguesfor a view of epistemology in which it is not a purely fact-stating enterprise.This influential work by a key figure in contemporary philosophy will reward the attention of any philosopher interested in language, epistemology, or mathematics.
Download or read book Beyond Sets written by Nicholas Rescher and published by Walter de Gruyter. This book was released on 2013-05-02 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the product of a collaboration stretching the years 2007-10, whose initial fruit was a paper on “Plenum Theory” published in Nous. The work grew out of the author’s conviction that standard set theory, which had evolved to meet the needs of mathematics, was not fully adequate to the less abstractly geared and rigidly determine needs of less finalized ranges of inquiry and deliberation.
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: This volume presents new work on a central issue in the philosophy of logic. Leading figures in the field offer ground-breaking insights into topics including the nature of logical consequence; the relation between logic and inference; the relativity of logic; and the structural properties of the consequence relation.
Download or read book Spandrels of Truth written by Jc Beall and published by OUP Oxford. This book was released on 2011-04-07 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the various conceptions of truth is one according to which 'is true' is a transparent, entirely see-through device introduced for only practical (expressive) reasons. This device, when introduced into the language, brings about truth-theoretic paradoxes (particularly, the notorious Liar and Curry paradoxes). The options for dealing with the paradoxes while preserving the full transparency of 'true' are limited. In Spandrels of Truth, Beall concisely presents and defends a modest, so-called dialetheic theory of transparent truth.
Download or read book Logics and Falsifications written by Andreas Kapsner and published by Springer. This book was released on 2015-01-07 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume examines the concept of falsification as a central notion of semantic theories and its effects on logical laws. The point of departure is the general constructivist line of argument that Michael Dummett has offered over the last decades. From there, the author examines the ways in which falsifications can enter into a constructivist semantics, displays the full spectrum of options, and discusses the logical systems most suitable to each one of them. While the idea of introducing falsifications into the semantic account is Dummett's own, the many ways in which falsificationism departs quite radically from verificationism are here spelled out in detail for the first time. The volume is divided into three large parts. The first part provides important background information about Dummett’s program, intuitionism and logics with gaps and gluts. The second part is devoted to the introduction of falsifications into the constructive account and shows that there is more than one way in which one can do this. The third part details the logical effects of these various moves. In the end, the book shows that the constructive path may branch in different directions: towards intuitionistic logic, dual intuitionistic logic and several variations of Nelson logics. The author argues that, on balance, the latter are the more promising routes to take. "Kapsner’s book is the first detailed investigation of how to incorporate the notion of falsification into formal logic. This is a fascinating logico-philosophical investigation, which will interest non-classical logicians of all stripes." Graham Priest, Graduate Center, City University of New York and University of Melbourne
