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Hans van Ditmarsch,Wiebe van der Hoek,Barteld Kooi
Author : Hans van Ditmarsch,Wiebe van der Hoek,Barteld Kooi Publisher : Springer Science & Business Media Page : 303 pages File Size : 44,5 Mb Release : 2007-05-06 Category : Philosophy ISBN : 9781402058394
Dynamic Epistemic Logic by Hans van Ditmarsch,Wiebe van der Hoek,Barteld Kooi Pdf
Dynamic Epistemic Logic is the logic of knowledge change. This book provides various logics to support such formal specifications, including proof systems. Concrete examples and epistemic puzzles enliven the exposition. The book also offers exercises with answers. It is suitable for graduate courses in logic. Many examples, exercises, and thorough completeness proofs and expressivity results are included. A companion web page offers slides for lecturers and exams for further practice.
The Logic of Epistemology and the Epistemology of Logic by Jaakko Hintikka,Merrill B.P. Hintikka Pdf
Somewhat like Henkin's nonstandard interpretation of higher-order logics, while the right semantics [or logical modalities is an analogue to the standard of type theory in Henkin's sense. interpretation Another possibility would be to follow W.V. Quine's advice to give up logi cal modalities as being beyond repair. Or we could also try to develop a logic of conceptual possibility, restricting the range of our "possible worlds" to those compatible with the transcendental presuppositions of our own conceptual sys tem. This looks in fact like one of the most interesting possible theories I have dreamt of developing but undoubtedly never will. Its kinship with Kant's way of thinking should be obvious. Besides putting the entire enterprise of possible-worlds semantics into a perspective, we can also see that the actual history of possible-worlds seman tics is more complicated than it might first appear to be. For the standard in terpretation of modal logics has reared its beautiful head repeatedly in the writings of Stig Kanger, Richard Montague the pre-Montague-semantics theorist, and Nino Cocchiarella.
Epistemic Logic in the Later Middle Ages by Ivan Boh Pdf
Epistemic Logic studies statements containing verbs such as 'know' and 'wish'. It is one of the most exciting areas in medieval philosophy. Neglected almost entirely after the end of the Middle Ages, it has been rediscovered by philosophers of the present century. This is the first comprehensive study of the subject. Ivan Boh explores the rules for entailment between epistemic statements, the search for the conditions of knowing contingent propositions, the problems of substitutivity in intentional contexts, the relationship between epistemic and modal logic, and the problems of composite and divided senses in authors ranging from Abelard to Frachantian.
Epistemic Logic and the Theory of Games and Decisions by M. Bacharach,Louis André Gerard-Varet,Philippe Mongin,H.S. Shin Pdf
The convergence of game theory and epistemic logic has been in progress for two decades and this book explores this further by gathering specialists from different professional communities, i.e., economics, mathematics, philosophy, and computer science. This volume considers the issues of knowledge, belief and strategic interaction, with each contribution evaluating the foundational issues. In particular, emphasis is placed on epistemic logic and the representative topics of backward induction arguments and syntax/semantics and the logical omniscience problem. Part I of this collection deals with iterated knowledge in the multi-agent context, and more particularly with common knowledge. The first two papers in Part II of the collection address the so-called logical omniscience problem, a problem which has attracted much attention in the recent epistemic logic literature, and is pertinent to some of the issues discussed by decision theorists under the heading 'bounded rationality'. The remaining two chapters of section II provide two quite different angles on the strength of S5 (or the partitional model of information)- and so two different reasons for eschewing the strong form of logical omniscience implicit in S5. Part III gives attention to application to game theory and decision theory.
Epistemic Logic by Vincent F. Hendricks,Olivier Roy Pdf
Epistemic Logic: 5 Questions is a collection of short interviews based on 5 questions presented to some of the most influential and prominent scholars in the field. We hear their views on the field, the aim, the scopes, the future direction of research and how their work fits in these respects.
Handbook of Epistemic Logic by Hans van Ditmarsch,Joseph Y. Halpern,Wiebe van der Hoek Pdf
Epistemic logic and, more generally, logics of knowledge and belief, originated with philosophers such as Jaakko Hintikka and David Lewis in the early 1960s. Since then, such logics have played a significant role not only in philosophy, but also in computer science, artificial intelligence, and economics. This handbook reports significant progress in a field that, while more mature, continues to be very active. This book should make it easier for new researchers to enter the field, and give experts a chance to appreciate work in related areas. The book starts with a gentle introduction to the logics of knowledge and belief; it gives an overview of the area and the material covered in the book. The following eleven chapters, each written by a leading researcher (or researchers), cover the topics of only knowing, awareness, knowledge and probability, knowledge and time, the dynamics of knowledge and of belief, model checking, game theory, agency, knowledge and ability, and security protocols. The chapters have been written so that they can be read independently and in any order. Each chapter ends with a section of notes that provides some historical background, including references, and a detailed bibliography.
Logic, Epistemology, and the Unity of Science by Shahid Rahman,John Symons,Dov M. Gabbay,jean paul van bendegem Pdf
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.
Awareness in Logic and Epistemology by Claudia Fernández-Fernández Pdf
This book creates a conceptual schema that acts as a correlation between Epistemology and Epistemic Logic. It connects both fields and offers a proper theoretical foundation for the contemporary developments of Epistemic Logic regarding the dynamics of information. It builds a bridge between the view of Awareness Justification Internalism, and a dynamic approach to Awareness Logic. The book starts with an introduction to the main topics in Epistemic Logic and Epistemology and reviews the disconnection between the two fields. It analyses three core notions representing the basic structure of the conceptual schema: “Epistemic Awareness”, “Knowledge” and “Justification”. Next, it presents the Explicit Aware Knowledge (EAK) Schema, using a diagram of three ellipses to illustrate the schema, and a formal model based on a neighbourhood-model structure, that shows one concrete application of the EAK-Schema into a logical structure. The book ends by presenting conclusions and final remarks about the uses and applications of the EAK-Schema. It shows that the most important feature of the schema is that it serves both as a theoretical correlate to the dynamic extensions of Awareness Logic, providing it with a philosophical background, and as an abstract conceptual structure for a re-interpretation of Epistemology.
Epistemic Logic in the Later Middle Ages by Ivan Boh Pdf
Since the end of the Middle Ages, epistemic logic is an area that has been almost entirely neglected . Ivan Boh has produced the first comprehensive study of one of the most exciting areas in medieval philosophy.
Epistemic Logic for AI and Computer Science by John-Jules Ch Meyer,Wiebe van der Hoek Pdf
Epistemic logic has grown from its philosophical beginnings to find diverse applications in computer science, and as a means of reasoning about the knowledge and belief of agents. This book provides a broad introduction to the subject, along with many exercises and their solutions. The authors begin by presenting the necessary apparatus from mathematics and logic, including Kripke semantics and the well-known modal logics K, T, S4 and S5. Then they turn to applications in the context of distributed systems and artificial intelligence. These include the notions of common knowledge, distributed knowledge, explicit and implicit belief, the interplays between knowledge and time, and knowledge and action, as well as a graded (or numerical) variant of the epistemic operators. The authors also discuss extensively the problem of logical omniscience. They cover Halpern & Moses' theory of honest formulas, and they make a digression into the realm of nonmonotonic reasoning and preferential entailment. They discuss Moore's autoepistemic logic, together with Levesque's related logic of "all I know". Furthermore, they show how one can base default and counterfactual reasoning on epistemic logic. Graduate students in philosophy or in computer science, especially those with an interest in AI, will find this book useful.
Modal Logic for Open Minds by Johan van Benthem Pdf
In this work, the author provides an introduction to the field of modal logic, outlining its major ideas and emploring the numerous ways in which various academic fields have adopted it.
What Is Modal Logic Statements regarding necessity and possibility can be represented with the use of a type of logic known as modal logic. As a method for gaining a grasp of ideas like knowledge, obligation, and causality, it is an essential component of philosophy and other subjects that are closely related to it. For instance, the formula can be used to describe the statement that is known in the epistemic modal logic. Using the same formula, one can express that which is a moral responsibility within the framework of deontic modal logic. The conclusions that can be drawn from modal assertions are taken into consideration by modal logic. For instance, the majority of epistemic logics consider the formula to be a tautology, which is a representation of the concept that the only assertions that may be considered to have knowledge are those that are true. How You Will Benefit (I) Insights, and validations about the following topics: Chapter 1: Modal Logic Chapter 2: First-order Logic Chapter 3: Propositional Calculus Chapter 4: Saul Kripke Chapter 5: Kripke Semantics Chapter 6: Temporal Logic Chapter 7: Epistemic Modal Logic Chapter 8: Accessibility Relation Chapter 9: S5 (Modal Logic) Chapter 10: Dynamic Logic (Modal Logic) (II) Answering the public top questions about modal logic. (III) Real world examples for the usage of modal logic in many fields. (IV) 17 appendices to explain, briefly, 266 emerging technologies in each industry to have 360-degree full understanding of modal logic' technologies. Who This Book Is For Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of modal logic.