Download or read book Multiple Conclusion Logic written by D. J. Shoesmith and published by CUP Archive. This book was released on 1978-07-06 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a sustained study of the subject and is certain to stimulate further research.
Download or read book A Concise Introduction to Logic written by Craig DeLancey and published by Open SUNY Textbooks. This book was released on 2017-02-06 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Deductive Systems in Traditional and Modern Logic written by Alex Citkin and published by MDPI. This book was released on 2020-11-18 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a contemporary view on different aspects of the deductive systems in various types of logics including term logics, propositional logics, logics of refutation, non-Fregean logics, higher order logics and arithmetic.
Download or read book The Many Valued and Nonmonotonic Turn in Logic written by Dov M. Gabbay and published by Elsevier. This book was released on 2007-08-13 with total page 691 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume of the Handbook of the History of Logic brings together two of the most important developments in 20th century non-classical logic. These are many-valuedness and non-monotonicity. On the one approach, in deference to vagueness, temporal or quantum indeterminacy or reference-failure, sentences that are classically non-bivalent are allowed as inputs and outputs to consequence relations. Many-valued, dialetheic, fuzzy and quantum logics are, among other things, principled attempts to regulate the flow-through of sentences that are neither true nor false. On the second, or non-monotonic, approach, constraints are placed on inputs (and sometimes on outputs) of a classical consequence relation, with a view to producing a notion of consequence that serves in a more realistic way the requirements of real-life inference. Many-valued logics produce an interesting problem. Non-bivalent inputs produce classically valid consequence statements, for any choice of outputs. A major task of many-valued logics of all stripes is to fashion an appropriately non-classical relation of consequence.The chief preoccupation of non-monotonic (and default) logicians is how to constrain inputs and outputs of the consequence relation. In what is called “left non-monotonicity , it is forbidden to add new sentences to the inputs of true consequence-statements. The restriction takes notice of the fact that new information will sometimes override an antecedently (and reasonably) derived consequence. In what is called “right non-monotonicity , limitations are imposed on outputs of the consequence relation. Most notably, perhaps, is the requirement that the rule of or-introduction not be given free sway on outputs. Also prominent is the effort of paraconsistent logicians, both preservationist and dialetheic, to limit the outputs of inconsistent inputs, which in classical contexts are wholly unconstrained.In some instances, our two themes coincide. Dialetheic logics are a case in point. Dialetheic logics allow certain selected sentences to have, as a third truth value, the classical values of truth and falsity together. So such logics also admit classically inconsistent inputs. A central task is to construct a right non-monotonic consequence relation that allows for these many-valued, and inconsistent, inputs.The Many Valued and Non-Monotonic Turn in Logic is an indispensable research tool for anyone interested in the development of logic, including researchers, graduate and senior undergraduate students in logic, history of logic, mathematics, history of mathematics, computer science, AI, linguistics, cognitive science, argumentation theory, and the history of ideas. Detailed and comprehensive chapters covering the entire range of modal logic. Contains the latest scholarly discoveries and interprative insights that answers many questions in the field of logic.
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 Logical Pluralism written by JC Beall and published by Oxford University Press on Demand. 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 Introduction to Logic from Everyday Life to Formal Systems written by Albert Mosley and published by Ginn Press. This book was released on 1989-01-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Knowledge and Questions written by Franck Lihoreau and published by Rodopi. This book was released on 2008 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This special volume of "Grazer Philosophische Studien" features twelve original essays on the relationship between knowledge and questions, a topic of utmost importance to epistemology, philosophical logic, and the philosophy of language. It raises a great deal of issues in each of these fields and at their intersection, bearing, inter alia, on the theory of rational deliberation and inquiry, pragmatism and virtue epistemology, the problems of scepticism and epistemic justification, the theory of assertion, the possibility of deductive knowledge, the semantics and pragmatics of knowledge ascriptions, the factivity of knowledge, the analysis of concealed questions and embedded interrogative clauses, propositional attitudes and two-dimensional semantics, contextualism and contrastivism, the distinction between knowledge-that and knowledge-how, the nature of philosophical knowledge, and the problem of epistemic value. Addressing these as well as many other importantly related issues, the papers in the volume jointly contribute to giving an overview of the current state of the debates on the topic, and a sense of the directions in which philosophical research on knowledge and questions is currently heading.
Download or read book Logic Programming written by John Lloyd and published by MIT Press. This book was released on 1995 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Logic Programming Symposium is one of two major international conferences sponsored by the Association of Logic Programming. Both conferences are held annually. The theme for the 1995 conference was "Declarative Systems", particularly the integration of the logic programming, functional programming, and object-oriented programming paradigms.
Download or read book An Introduction to Formal Logic written by Peter Smith and published by Cambridge University Press. This book was released on 2003-11-06 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formal logic provides us with a powerful set of techniques for criticizing some arguments and showing others to be valid. These techniques are relevant to all of us with an interest in being skilful and accurate reasoners. In this highly accessible book, Peter Smith presents a guide to the fundamental aims and basic elements of formal logic. He introduces the reader to the languages of propositional and predicate logic, and then develops formal systems for evaluating arguments translated into these languages, concentrating on the easily comprehensible 'tree' method. His discussion is richly illustrated with worked examples and exercises. A distinctive feature is that, alongside the formal work, there is illuminating philosophical commentary. This book will make an ideal text for a first logic course, and will provide a firm basis for further work in formal and philosophical logic.
Download or read book Vagueness Logic and Ontology written by Dominic Hyde and published by Routledge. This book was released on 2016-02-17 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topic of vagueness re-emerged in the twentieth century from relative obscurity. It deals with the phenomenon in natural language that manifests itself in apparent semantic indeterminacy - the indeterminacy, for example, that arises when asked to draw the line between the tall and non-tall, or the drunk and the sober. An associated paradox emphasises the challenging nature of the phenomenon, presenting one of the most resilient paradoxes of logic. The apparent threat posed for orthodox theories of the semantics and logic of natural language has become the focus of intense philosophical scrutiny amongst philosophers and non-philosophers alike. Vagueness, Logic and Ontology explores various responses to the philosophical problems generated by vagueness and its associated paradox - the sorites paradox. Hyde argues that the theoretical space in which vagueness is sometimes ontologically grounded and modelled by a truth-functional logic affords a coherent response to the problems posed by vagueness. Showing how the concept of vagueness can be applied to the world, Hyde's ontological account proposes a substantial revision of orthodox semantics, metaphysics and logic. This book will be of particular interest to readers in philosophy, linguistics, cognitive science and geographic information systems.
Download or read book Reasons for Logic Logic for Reasons written by Ulf Hlobil and published by Taylor & Francis. This book was released on 2024-07-15 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reasons for Logic, Logic for Reasons presents a philosophical conception of logic—“logical expressivism”—according to which the role of logic is to make explicit reason relations, which are often neither monotonic nor transitive. This conception of logic reveals new and enlightening perspectives on inferential roles, sequent calculi, representation, truthmakers, and many extant logical theories. The book shows how we can understand different metavocabularies as making explicit the same reason relations, namely normative-pragmatic, alethic-representational, logical, and “implication-space” metavocabularies. This includes a philosophical account of the pragmatic role of reason relations, treatments of nonmonotonic and nontransitive consequence relations in sequent calculi, a correspondence between these sequent calculi and variants of truthmaker theory, and the introduction of a novel kind of formal semantics that interprets sentences by assigning inferential roles to them. The book thus offers logical expressivists and semantic inferentialists new ways to understand logic, content, inferential roles, representation, and reason relations. This book will appeal to researchers and graduate students who are interested in the philosophy of logic, in reasons and reasoning, in theories of meaning and content, or in nonmonotonic and nontransitive logics.
Download or read book Truth and Interpretation written by Ernest LePore and published by John Wiley & Sons. This book was released on 1986 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: Regardless of its particular topic, each of Donald Davidson's essays is part of a comprehensive progrqamme to address questions about language, mind and action, and their interconnections. Themes from this larger programme permeate and bind his work on semantics: on the notions of meaning and truth, on theories of truth, reference, logical form and inference, compositionality, 'intentional' operators, indeterminacy, conceptual relativism, skepticism and metaphor. Twenty-eight critical essays, including a substantial introduction to Davidson's philosophy of language, and three essays by Davidson himself, make up this volume. The volume's six sections corespond to the major section of Davidson's inquiries into Truth and Interpretation. Each contains critical essays addressing, interpreting and further develoing his views. The first section, written by the editor, gives an overview of the whole volume, the second section focuses on truth and meaning; the third, applications of Davidson's semantic theory; the fourth, radical interpretation; the fifth, language and reality, and the sixth, limits of the literal.
Download or read book Handbook of Philosophical Logic written by Dov M. Gabbay and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is with great pleasure that we are presenting to the community the second edition of this extraordinary handbook. It has been over 15 years since the publication of the first edition and there have been great changes in the landscape of philosophical logic since then. The first edition has proved invaluable to generations of students and researchers in formal philosophy and language, as well as to consumers of logic in many applied areas. The main logic article in the Encyclopaedia Britannica 1999 has described the first edition as 'the best starting point for exploring any of the topics in logic'. We are confident that the second edition will prove to be just as good! The first edition was the second handbook published for the logic com- nity. It followed the North Holland one volume Handbook of Mathematical Logic, published in 1977, edited by the late Jon Barwise. The four volume Handbook of Philosophical Logic, published 1983-1989 came at a fortunate temporal junction at the evolution of logic. This was the time when logic was gaining ground in computer science and artificial intelligence circles. These areas were under increasing commercial pressure to provide devices which help and/or replace the human in his daily activity. This pressure required the use of logic in the modelling of human activity and organi- tion on the one hand and to provide the theoretical basis for the computer program constructs on the other.
Download or read book Argument and Inference written by Gregory Johnson and published by MIT Press. This book was released on 2017-01-06 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough and practical introduction to inductive logic with a focus on arguments and the rules used for making inductive inferences. This textbook offers a thorough and practical introduction to inductive logic. The book covers a range of different types of inferences with an emphasis throughout on representing them as arguments. This allows the reader to see that, although the rules and guidelines for making each type of inference differ, the purpose is always to generate a probable conclusion. After explaining the basic features of an argument and the different standards for evaluating arguments, the book covers inferences that do not require precise probabilities or the probability calculus: the induction by confirmation, inference to the best explanation, and Mill's methods. The second half of the book presents arguments that do require the probability calculus, first explaining the rules of probability, and then the proportional syllogism, inductive generalization, and Bayes' rule. Each chapter ends with practice problems and their solutions. Appendixes offer additional material on deductive logic, odds, expected value, and (very briefly) the foundations of probability. Argument and Inference can be used in critical thinking courses. It provides these courses with a coherent theme while covering the type of reasoning that is most often used in day-to-day life and in the natural, social, and medical sciences. Argument and Inference is also suitable for inductive logic and informal logic courses, as well as philosophy of sciences courses that need an introductory text on scientific and inductive methods.
Download or read book LSAT Logical Reasoning written by Manhattan Prep and published by Simon and Schuster. This book was released on 2020-03-03 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: Manhattan Prep’s LSAT Logical Reasoning guide, fully updated for the digital exam, will teach you how to untangle Logical Reasoning problems confidently and efficiently. Manhattan Prep’s LSAT guides use officially-released LSAT questions and are written by the company’s instructors, who have all scored a 172 or higher on the official LSAT—we know how to earn a great score and we know how to teach you to do the same. This guide will train you to approach LSAT logical reasoning problems as a 99th-percentile test-taker does: Recognize and respond to every type of question Deconstruct the text to find the core argument or essential facts Spot—and avoid—trap answers Take advantage of the digital format to work quickly and strategically Each chapter in LSAT Logical Reasoning features drill sets—made up of real LSAT questions—to help you absorb and apply what you’ve learned. The extensive solutions walk you through every step needed to master Logical Reasoning, including an in-depth explanation of every answer choice, correct and incorrect.
