Author: Paul F. Syverson
Publisher: Stanford Univ Center for the Study
ISBN: 9781575863924
Category : Philosophy
Languages : en
Pages : 158
Book Description
One of the fundamental theses of this book is that logical consequence and logical truth are not simply given, but arise as conventions among the users of logic. Thus Syverson explains convention within a game-theoretic framework, as a kind of equilibrium between the strategies of players in a game where they share common knowledge of events—a revisiting of Lewis's Convention that argues that convention can be reasonably treated as coordination equilibria. Most strikingly, a realistic solution is provided for Gray's classic coordination problem, wherein two generals can only communicate with each other through unreliable means.
Logic, Convention, and Common Knowledge
Author: Paul F. Syverson
Publisher: Stanford Univ Center for the Study
ISBN: 9781575863924
Category : Philosophy
Languages : en
Pages : 158
Book Description
One of the fundamental theses of this book is that logical consequence and logical truth are not simply given, but arise as conventions among the users of logic. Thus Syverson explains convention within a game-theoretic framework, as a kind of equilibrium between the strategies of players in a game where they share common knowledge of events—a revisiting of Lewis's Convention that argues that convention can be reasonably treated as coordination equilibria. Most strikingly, a realistic solution is provided for Gray's classic coordination problem, wherein two generals can only communicate with each other through unreliable means.
Publisher: Stanford Univ Center for the Study
ISBN: 9781575863924
Category : Philosophy
Languages : en
Pages : 158
Book Description
One of the fundamental theses of this book is that logical consequence and logical truth are not simply given, but arise as conventions among the users of logic. Thus Syverson explains convention within a game-theoretic framework, as a kind of equilibrium between the strategies of players in a game where they share common knowledge of events—a revisiting of Lewis's Convention that argues that convention can be reasonably treated as coordination equilibria. Most strikingly, a realistic solution is provided for Gray's classic coordination problem, wherein two generals can only communicate with each other through unreliable means.
Reasoning About Knowledge
Author: Ronald Fagin
Publisher: MIT Press
ISBN: 9780262562003
Category : Business & Economics
Languages : en
Pages : 576
Book Description
Reasoning about knowledge—particularly the knowledge of agents who reason about the world and each other's knowledge—was once the exclusive province of philosophers and puzzle solvers. More recently, this type of reasoning has been shown to play a key role in a surprising number of contexts, from understanding conversations to the analysis of distributed computer algorithms. Reasoning About Knowledge is the first book to provide a general discussion of approaches to reasoning about knowledge and its applications to distributed systems, artificial intelligence, and game theory. It brings eight years of work by the authors into a cohesive framework for understanding and analyzing reasoning about knowledge that is intuitive, mathematically well founded, useful in practice, and widely applicable. The book is almost completely self-contained and should be accessible to readers in a variety of disciplines, including computer science, artificial intelligence, linguistics, philosophy, cognitive science, and game theory. Each chapter includes exercises and bibliographic notes.
Publisher: MIT Press
ISBN: 9780262562003
Category : Business & Economics
Languages : en
Pages : 576
Book Description
Reasoning about knowledge—particularly the knowledge of agents who reason about the world and each other's knowledge—was once the exclusive province of philosophers and puzzle solvers. More recently, this type of reasoning has been shown to play a key role in a surprising number of contexts, from understanding conversations to the analysis of distributed computer algorithms. Reasoning About Knowledge is the first book to provide a general discussion of approaches to reasoning about knowledge and its applications to distributed systems, artificial intelligence, and game theory. It brings eight years of work by the authors into a cohesive framework for understanding and analyzing reasoning about knowledge that is intuitive, mathematically well founded, useful in practice, and widely applicable. The book is almost completely self-contained and should be accessible to readers in a variety of disciplines, including computer science, artificial intelligence, linguistics, philosophy, cognitive science, and game theory. Each chapter includes exercises and bibliographic notes.
Theoretical Aspects of Reasoning About Knowledge
Author: Ronald Fagin
Publisher: Morgan Kaufmann
ISBN: 1483214532
Category : Computers
Languages : en
Pages : 348
Book Description
Theoretical Aspects of Reasoning About Knowledge contains the proceedings of the Fifth Conference on Theoretical Aspects of Reasoning About Knowledge (TARK 1994) held in Pacific Grove, California, on March 13-16, 1994. The conference provided a forum for discussing the theoretical aspects of reasoning about knowledge and tackled topics ranging from the logic of iterated belief revision and backwards forward induction to information acquisition from multi-agent resources, infinitely epistemic logic, and coherent belief revision in games. Comprised of 23 chapters, this book begins with a review of situation calculus and a solution to the frame problem, along with the use of a regression method for reasoning about the effect of actions. A novel programming language for high-level robotic control is described, along with a knowledge-based framework for belief change. Subsequent chapters deal with consistent belief reasoning in the presence of inconsistency; an epistemic logic of situations; an axiomatic approach to the logical omniscience problem; and an epistemic proof system for parallel processes. Inductive learning, knowledge asymmetries, and convention are also examined. This monograph will be of interest to both students and practitioners in the fields of artificial intelligence and computer science.
Publisher: Morgan Kaufmann
ISBN: 1483214532
Category : Computers
Languages : en
Pages : 348
Book Description
Theoretical Aspects of Reasoning About Knowledge contains the proceedings of the Fifth Conference on Theoretical Aspects of Reasoning About Knowledge (TARK 1994) held in Pacific Grove, California, on March 13-16, 1994. The conference provided a forum for discussing the theoretical aspects of reasoning about knowledge and tackled topics ranging from the logic of iterated belief revision and backwards forward induction to information acquisition from multi-agent resources, infinitely epistemic logic, and coherent belief revision in games. Comprised of 23 chapters, this book begins with a review of situation calculus and a solution to the frame problem, along with the use of a regression method for reasoning about the effect of actions. A novel programming language for high-level robotic control is described, along with a knowledge-based framework for belief change. Subsequent chapters deal with consistent belief reasoning in the presence of inconsistency; an epistemic logic of situations; an axiomatic approach to the logical omniscience problem; and an epistemic proof system for parallel processes. Inductive learning, knowledge asymmetries, and convention are also examined. This monograph will be of interest to both students and practitioners in the fields of artificial intelligence and computer science.
Epistemic Logic and the Theory of Games and Decisions
Author: M. Bacharach
Publisher: Springer Science & Business Media
ISBN: 146131139X
Category : Business & Economics
Languages : en
Pages : 392
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 146131139X
Category : Business & Economics
Languages : en
Pages : 392
Book Description
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.
The Themes of Quine's Philosophy
Author: Edward Becker
Publisher: Cambridge University Press
ISBN: 1139510657
Category : Philosophy
Languages : en
Pages : 331
Book Description
Willard Van Orman Quine's work revolutionized the fields of epistemology, semantics and ontology. At the heart of his philosophy are several interconnected doctrines: his rejection of conventionalism and of the linguistic doctrine of logical and mathematical truth, his rejection of the analytic/synthetic distinction, his thesis of the indeterminacy of translation and his thesis of the inscrutability of reference. In this book Edward Becker sets out to interpret and explain these doctrines. He offers detailed analyses of the relevant texts, discusses Quine's views on meaning, reference and knowledge, and shows how Quine's views developed over the years. He also proposes a new version of the linguistic doctrine of logical truth, and a new way of rehabilitating analyticity. His rich exploration of Quine's thought will interest all those seeking to understand and evaluate the work of one of the most important philosophers of the second half of the twentieth century.
Publisher: Cambridge University Press
ISBN: 1139510657
Category : Philosophy
Languages : en
Pages : 331
Book Description
Willard Van Orman Quine's work revolutionized the fields of epistemology, semantics and ontology. At the heart of his philosophy are several interconnected doctrines: his rejection of conventionalism and of the linguistic doctrine of logical and mathematical truth, his rejection of the analytic/synthetic distinction, his thesis of the indeterminacy of translation and his thesis of the inscrutability of reference. In this book Edward Becker sets out to interpret and explain these doctrines. He offers detailed analyses of the relevant texts, discusses Quine's views on meaning, reference and knowledge, and shows how Quine's views developed over the years. He also proposes a new version of the linguistic doctrine of logical truth, and a new way of rehabilitating analyticity. His rich exploration of Quine's thought will interest all those seeking to understand and evaluate the work of one of the most important philosophers of the second half of the twentieth century.
Impossible?
Author: Julian Havil
Publisher: Princeton University Press
ISBN: 1400829674
Category : Mathematics
Languages : en
Pages : 250
Book Description
In Nonplussed!, popular-math writer Julian Havil delighted readers with a mind-boggling array of implausible yet true mathematical paradoxes. Now Havil is back with Impossible?, another marvelous medley of the utterly confusing, profound, and unbelievable—and all of it mathematically irrefutable. Whenever Forty-second Street in New York is temporarily closed, traffic doesn't gridlock but flows more smoothly—why is that? Or consider that cities that build new roads can experience dramatic increases in traffic congestion—how is this possible? What does the game show Let's Make A Deal reveal about the unexpected hazards of decision-making? What can the game of cricket teach us about the surprising behavior of the law of averages? These are some of the counterintuitive mathematical occurrences that readers encounter in Impossible? Havil ventures further than ever into territory where intuition can lead one astray. He gathers entertaining problems from probability and statistics along with an eclectic variety of conundrums and puzzlers from other areas of mathematics, including classics of abstract math like the Banach-Tarski paradox. These problems range in difficulty from easy to highly challenging, yet they can be tackled by anyone with a background in calculus. And the fascinating history and personalities associated with many of the problems are included with their mathematical proofs. Impossible? will delight anyone who wants to have their reason thoroughly confounded in the most astonishing and unpredictable ways.
Publisher: Princeton University Press
ISBN: 1400829674
Category : Mathematics
Languages : en
Pages : 250
Book Description
In Nonplussed!, popular-math writer Julian Havil delighted readers with a mind-boggling array of implausible yet true mathematical paradoxes. Now Havil is back with Impossible?, another marvelous medley of the utterly confusing, profound, and unbelievable—and all of it mathematically irrefutable. Whenever Forty-second Street in New York is temporarily closed, traffic doesn't gridlock but flows more smoothly—why is that? Or consider that cities that build new roads can experience dramatic increases in traffic congestion—how is this possible? What does the game show Let's Make A Deal reveal about the unexpected hazards of decision-making? What can the game of cricket teach us about the surprising behavior of the law of averages? These are some of the counterintuitive mathematical occurrences that readers encounter in Impossible? Havil ventures further than ever into territory where intuition can lead one astray. He gathers entertaining problems from probability and statistics along with an eclectic variety of conundrums and puzzlers from other areas of mathematics, including classics of abstract math like the Banach-Tarski paradox. These problems range in difficulty from easy to highly challenging, yet they can be tackled by anyone with a background in calculus. And the fascinating history and personalities associated with many of the problems are included with their mathematical proofs. Impossible? will delight anyone who wants to have their reason thoroughly confounded in the most astonishing and unpredictable ways.
Epistemic Logic for AI and Computer Science
Author: J.-J. Ch. Meyer
Publisher: Cambridge University Press
ISBN: 9780521602808
Category : Computers
Languages : en
Pages : 376
Book Description
A broad introduction to the subject; many exercises with full solutions are provided.
Publisher: Cambridge University Press
ISBN: 9780521602808
Category : Computers
Languages : en
Pages : 376
Book Description
A broad introduction to the subject; many exercises with full solutions are provided.
Wiser
Author: Cass R. Sunstein
Publisher: Harvard Business Press
ISBN: 1422122999
Category : Business & Economics
Languages : en
Pages : 274
Book Description
"We've all been involved in group decisions--and they're hard. And they often turn out badly. Why? Many blame bad decisions on 'groupthink' without a clear idea of what that term really means. Now, Nudge coauthor Cass Sunstein and leading decision-making scholar Reid Hastie shed light on the specifics of why and how group decisions go wrong--and offer tactics and lessons to help leaders avoid the pitfalls and reach better outcomes"--Dust jacket flap.
Publisher: Harvard Business Press
ISBN: 1422122999
Category : Business & Economics
Languages : en
Pages : 274
Book Description
"We've all been involved in group decisions--and they're hard. And they often turn out badly. Why? Many blame bad decisions on 'groupthink' without a clear idea of what that term really means. Now, Nudge coauthor Cass Sunstein and leading decision-making scholar Reid Hastie shed light on the specifics of why and how group decisions go wrong--and offer tactics and lessons to help leaders avoid the pitfalls and reach better outcomes"--Dust jacket flap.
Logic, Rationality, and Interaction
Author: Alexandru Baltag
Publisher: Springer
ISBN: 3662556650
Category : Mathematics
Languages : en
Pages : 704
Book Description
This LNCS volume is part of FoLLI book serie and contains the papers presented at the 6th International Workshop on Logic, Rationality and Interaction/ (LORI-VI), held in September 2017 in Sapporo, Japan. The focus of the workshop is on following topics: Agency, Argumentation and Agreement, Belief Revision and Belief Merging, Belief Representation, Cooperation, Decision making and Planning, Natural Language, Philosophy and Philosophical Logic, and Strategic Reasoning.
Publisher: Springer
ISBN: 3662556650
Category : Mathematics
Languages : en
Pages : 704
Book Description
This LNCS volume is part of FoLLI book serie and contains the papers presented at the 6th International Workshop on Logic, Rationality and Interaction/ (LORI-VI), held in September 2017 in Sapporo, Japan. The focus of the workshop is on following topics: Agency, Argumentation and Agreement, Belief Revision and Belief Merging, Belief Representation, Cooperation, Decision making and Planning, Natural Language, Philosophy and Philosophical Logic, and Strategic Reasoning.
Epistemic Game Theory and Logic
Author: Paul Weirich
Publisher: MDPI
ISBN: 3038424226
Category : Business & Economics
Languages : en
Pages : 189
Book Description
This book is a printed edition of the Special Issue "Epistemic Game Theory and Modal Logic" that was published in Games
Publisher: MDPI
ISBN: 3038424226
Category : Business & Economics
Languages : en
Pages : 189
Book Description
This book is a printed edition of the Special Issue "Epistemic Game Theory and Modal Logic" that was published in Games