Download or read book Bridges from Classical to Nonmonotonic Logic written by David Makinson and published by College Publications. This book was released on 2005 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Imagine a robot trying to size up a difficult situation, to find a way of responding. Its sensors receive streams of information from which it tries to reach judgements. If it relies on deduction alone, it will not get far, no matter how fast its inference engines; for even the most massive information is still typically incomplete: there are relevant issues that it does not resolve one way or the other. The robot, or human agent for that matter, needs to go beyond these limits. It needs to `go supraclassical', inferring more than is authorised by classical logic alone. But such inferences are inherently uncertain. They are also nonmonotonic, in the sense that the acquisition of further information, even when consistent with the existing stock, may lead us to abondon as well as add conclusions. Nonmonotonic logic is the study of such reasoning and has been the subject of intensive research for more than two decades. But for the newcomer it is still a disconcerting affair, lacking unity with many systems going in different directions. The purpose of this book is to take the mystery out of the subject, giving a clear overall picture of what is going on. It makes the essential ideas and main approaches to nonmonotonic logic accessible, and meaningful, to anyone with a few basic tools of discrete mathematics and a minimal background in classical propositional logic. It is written as a textbook, with detailed explanations, examples, comments, exercises and answers. Students and instructors alike will find it an invaluable guide.

Download or read book David Makinson on Classical Methods for Non Classical Problems written by Sven Ove Hansson and published by Springer Science & Business Media. This book was released on 2013-12-20 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume analyses and develops David Makinson’s efforts to make classical logic useful outside its most obvious application areas. The book contains chapters that analyse, appraise, or reshape Makinson’s work and chapters that develop themes emerging from his contributions. These are grouped into major areas to which Makinsons has made highly influential contributions and the volume in its entirety is divided into four sections, each devoted to a particular area of logic: belief change, uncertain reasoning, normative systems and the resources of classical logic. Among the contributions included in the volume, one chapter focuses on the “inferential preferential method”, i.e. the combined use of classical logic and mechanisms of preference and choice and provides examples from Makinson’s work in non-monotonic and defeasible reasoning and belief revision. One chapter offers a short autobiography by Makinson which details his discovery of modern logic, his travels across continents and reveals his intellectual encounters and inspirations. The chapter also contains an unusually explicit statement on his views on the (limited but important) role of logic in philosophy.

Download or read book Nonmonotonic Reasoning in Classical Logic written by Rachel Ben-Eliyahu and published by . This book was released on 1993 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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 A New Perspective on Nonmonotonic Logics written by Dov M. Gabbay and published by Springer. This book was released on 2016-11-05 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the authors present new results on interpolation for nonmonotonic logics, abstract (function) independence, the Talmudic Kal Vachomer rule, and an equational solution of contrary-to-duty obligations. The chapter on formal construction is the conceptual core of the book, where the authors combine the ideas of several types of nonmonotonic logics and their analysis of 'natural' concepts into a formal logic, a special preferential construction that combines formal clarity with the intuitive advantages of Reiter defaults, defeasible inheritance, theory revision, and epistemic considerations. It is suitable for researchers in the area of computer science and mathematical logic.

Download or read book Nonmonotonic Reasoning written by Grigorios Antoniou and published by . This book was released on 1995 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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 2001-02-22 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to non-classical propositional logics. It brings together for the first time in a textbook a range of topics in logic, many of them of relatively recent origin, including modal, conditional, intuitionist, many-valued, paraconsistent, relevant and fuzzy logics. The material is unified by the underlying theme of world-semantics. All of the topics are explained clearly and accessibly, using devices such as tableaux proofs, and their relation to current philosophical issues and debates is discussed. Students with a basic understanding of classical logic will find this an invaluable introduction to an area that has become of central importance in both logic and philosophy, but which, until now, could be studied only through the research literature. It will interest those studying logic, those who need to know about non-classical logics because of their philosophical importance, and, more widely, readers working in mathematics and computer science.

Download or read book Nonmonotonic Logics written by Karl Schlechta and published by Lecture Notes in Artificial Intelligence. This book was released on 1997-01-15 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonmonotonic logics were created as an abstraction of some types of common sense reasoning, analogous to the way classical logic serves to formalize ideal reasoning about mathematical objects. These logics are nonmonotonic in the sense that enlarging the set of axioms does not necessarily imply an enlargement of the set of formulas deducible from these axioms. Such situations arise naturally, for example, in the use of information of different degrees of reliability. This book emphasizes basic concepts by outlining connections between different formalisms of nonmonotonic logic, and gives a coherent presentation of recent research results and reasoning techniques. It provides a self-contained state-of-the-art survey of the area addressing researchers in AI lo

Download or read book The Logic of Legal Requirements written by Jordi Ferrer Beltrán and published by OUP Oxford. This book was released on 2012-09-13 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: When a legal rule requires us to drive on the right, notarize our wills, or refrain from selling bootleg liquor, how are we to describe and understand that requirement? In particular, how does the logical form of such a requirement relate to the logical form of other requirements, such as moral requirements, or the requirements of logic itself? When a general legal rule is applied or distinguished in a particular case, how can we describe that process in logical form? Such questions have come to preoccupy modern legal philosophy as its methodology, drawing on the philosophy of logic, becomes ever more sophisticated. This collection gathers together some of the most prominent legal philosophers in the Anglo-American and civil law traditions to analyse the logical structure of legal norms. They focus on the issue of defeasibility, which has become a central concern for both logicians and legal philosophers in recent years. The book is divided into four parts. The first section is devoted to unravelling the basic concepts related to legal defeasibility and the logical structure of legal norms, focusing on the idea that law, or its components, are liable to implicit exceptions, which cannot be specified before the law's application to particular cases. Part two aims to disentangle the main relations between the issue of legal defeasibility and the issue of legal interpretation, exploring the topic of defeasibility as a product of certain argumentative techniques in the law. Section 3 of the volume is dedicated to one of the most problematic issues in the history of jurisprudence: the connections between law and morality. Finally, section 4 of the volume is devoted to analysing the relationships between defeasibility and legal adjudication.

Download or read book Symbolic and Quantitative Approaches to Reasoning with Uncertainty written by Alessandro Antonucci and published by Springer. This book was released on 2017-07-03 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 14th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty, ECSQARU 2017, held in Lugano, Switzerland, in July 2017. The 44 revised full papers presented together with 5 abstracts of invited talks were carefully reviewed and selected from 63 submissions and cover topics on analogical reasoning; argumentation; Bayesian networks; belief functions; conditionals; credal sets, credal networks; decision theory, decision making and reasoning under uncertainty; fuzzy sets, fuzzy logic; logics; orthopairs; possibilistic networks; and probabilistic logics, probabilistic reasoning.

Download or read book Deontic Logic and Normative Systems written by Fabrizio Cariani and published by Springer. This book was released on 2014-06-30 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the refereed proceedings of the 12th International Conference on Deontic Logic and Normative Systems, DEON 2014, held in Ghent, Belgium, in July 2014. The 17 revised papers and the 2 invited papers included in this volume were carefully reviewed and selected from 31 submissions. Topics covered include challenges from natural language for deontic logic; the relationship between deontic and other types of modality: epistemic modality, imperatives, supererogatory, etc.; the deontic paradoxes; the modeling of normative concepts other than obligation and permission, e.g., values; the game-theoretical aspects of deontic reasoning; the emergence of norms; norms from a conversational and pragmatic point of view; and norms and argumentation.

Download or read book Special Sciences and the Unity of Science written by Olga Pombo and published by Springer Science & Business Media. This book was released on 2012-02-01 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Science is a dynamic process in which the assimilation of new phenomena, perspectives, and hypotheses into the scientific corpus takes place slowly. The apparent disunity of the sciences is the unavoidable consequence of this gradual integration process. Some thinkers label this dynamical circumstance a ‘crisis’. However, a retrospective view of the practical results of the scientific enterprise and of science itself, grants us a clear view of the unity of the human knowledge seeking enterprise. This book provides many arguments, case studies and examples in favor of the unity of science. These contributions touch upon various scientific perspectives and disciplines such as: Physics, Computer Science, Biology, Neuroscience, Cognitive Psychology, and Economics.

Download or read book The Tapestry of Reason written by Amalia Amaya and published by Bloomsbury Publishing. This book was released on 2015-04-30 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years coherence theories of law and adjudication have been extremely influential in legal scholarship. These theories significantly advance the case for coherentism in law. Nonetheless, there remain a number of problems in the coherence theory in law. This ambitious new work makes the first concerted attempt to develop a coherence-based theory of legal reasoning, and in so doing addresses, or at least mitigates these problems. The book is organized in three parts. The first part provides a critical analysis of the main coherentist approaches to both normative and factual reasoning in law. The second part investigates the coherence theory in a number of fields that are relevant to law: coherence theories of epistemic justification, coherentist approaches to belief revision and theory-choice in science, coherence theories of practical and moral reasoning and coherence-based approaches to discourse interpretation. Taking this interdisciplinary analysis as a starting point, the third part develops a coherence-based model of legal reasoning. While this model builds upon the standard theory of legal reasoning, it also leads to rethinking some of the basic assumptions that characterize this theory, and suggests some lines along which it may be further developed. Thus, ultimately, the book not only improves upon the current state of coherence theory in law, but also contributes to the larger debate about how to articulate a theory of legal reasoning that results in better decision-making.

Download or read book Logic in the Theory and Practice of Lawmaking written by Michał Araszkiewicz and published by Springer. This book was released on 2015-10-05 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the current state of the art regarding the application of logical tools to the problems of theory and practice of lawmaking. It shows how contemporary logic may be useful in the analysis of legislation, legislative drafting and legal reasoning concerning different contexts of law making. Elaborations of the process of law making have variously emphasised its political, social or economic aspects. Yet despite strong interest in logical analyses of law, questions remains about the role of logical tools in law making. This volume attempts to bridge that gap, or at least to narrow it, drawing together some important research problems—and some possible solutions—as seen through the work of leading contemporary academics. The volume encompasses 20 chapters written by authors from 16 countries and it presents diversified views on the understanding of logic (from strict mathematical approaches to the informal, argumentative ones) and differentiated choices concerning the aspects of law making taken into account. The book presents a broad set of perspectives, insights and results into the emerging field of research devoted to the logical analysis of the area of creation of law. How does logic inform lawmaking? Are legal systems consistent and complete? How can legal rules be represented by means of formal calculi and visualization techniques? Does the structure of statutes or of legal systems resemble the structure of deductive systems? What are the logical relations between the basic concepts of jurisprudence that constitute the system of law? How are theories of legal interpretation relevant to the process of legislation? How might the statutory text be analysed by means of contemporary computer programs? These and other questions, ranging from the theoretical to the immediately practical, are addressed in this definitive collection.

Download or read book Robert Brandom s Normative Inferentialism written by Giacomo Turbanti and published by John Benjamins Publishing Company. This book was released on 2017-09-21 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: The philosophy of language of Robert Brandom is based on a theoretical structure composed of three main elements: the normative analysis of linguistic practices, the inferential characterization of conceptual contents and the expressive articulation of the relations between the former two. Normative pragmatics aims to explain how linguistic practices are sufficient to confer contentful states in those who engage in them. Inferential semantics provides a theory of such pragmatic significances in terms of the inferential relations that articulate conceptual contents. Rational expressivism is the thesis that concept application is essentially a process of turning something that can only be done into something that can also be said. Such a threefold structure is the core of normative inferentialism. This book is a concise, self-contained and comprehensive presentation of this philosophical enterprise. It guides the reader through the analysis of Brandom's imposing theoretical apparatus, the discovery of the roots of his approach in American pragmatism and German idealism, till the exploration of some of its most interesting and recent outcomes in pragmatics and semantics. It is a valuable resource for both those who approach Brandom's work for the first time and those who are interested in the potential of normative inferentialism.

Download or read book Symbolic and Quantitative Approaches to Reasoning with Uncertainty written by Gabriele Kern-Isberner and published by Springer Nature. This book was released on 2019-09-04 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 15th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty, ECSQARU 2019, held in Belgrade, Serbia, in September 2019. The 41 full papers presented together with 3 abstracts of invited talks inn this volume were carefully reviewed and selected from 62 submissions. The papers are organized in topical sections named: Argumentation; Belief Functions; Conditional, Default and Analogical Reasoning; Learning and Decision Making; Precise and Imprecise Probabilities; and Uncertain Reasoning for Applications.

Download or read book Handbook of Philosophical Logic written by D.M. Gabbay and published by Springer Science & Business Media. This book was released on 2005-12-15 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of the Handbook of Philosophical Logic (four volumes) was published in the period 1983-1989 and has proven to be an invaluable reference work to both students and researchers in formal philosophy, language and logic. The second edition of the Handbook is intended to comprise some 18 volumes and will provide a very up-to-date authoritative, in-depth coverage of all major topics in philosophical logic and its applications in many cutting-edge fields relating to computer science, language, argumentation, etc. The volumes will no longer be as topic-oriented as with the first edition because of the way the subject has evolved over the last 15 years or so. However the volumes will follow some natural groupings of chapters. Audience: Students and researchers whose work or interests involve philosophical logic and its applications