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41Topological reasoning and the logic of knowledgeAnnals of Pure and Applied Logic 78 (1-3): 73-110. 1996.We present a bimodal logic suitable for formalizing reasoning about points and sets, and also states of the world and views about them. The most natural interpretation of the logic is in subset spaces , and we obtain complete axiomatizations for the sentences which hold in these interpretations. In addition, we axiomatize the validities of the smaller class of topological spaces in a system we call topologic . We also prove decidability for these two systems. Our results on topologic relate earl…Read more
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112Social SoftwareSynthese 132 (3): 187-211. 2002.We suggest that the issue of constructing andverifying social procedures, which we suggestively call socialsoftware, be pursued as systematically as computer software is pursued by computer scientists. Certain complications do arise withsocial software which do not arise with computer software, but thesimilarities are nonetheless strong, and tools already exist which wouldenable us to start work on this important project. We give a variety ofsuggestive examples and indicate some theoretical work…Read more
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19Review: Ronald Fagin, Joseph Y. Halpern, Yoram Moses, Moshe Y. Vardi, Reasoning about Knowledge (review)Journal of Symbolic Logic 62 (4): 1484-1487. 1997.
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30Gems of theoretical computer science, Uwe schöning and Randall PruimJournal of Logic, Language and Information 9 (1): 131-132. 2000.
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62Probabilistic conditionals are almost monotonicReview of Symbolic Logic 1 (1): 73-80. 2008.One interpretation of the conditional If P then Q is as saying that the probability of Q given P is high. This is an interpretation suggested by Adams (1966) and pursued more recently by Edgington (1995). Of course, this probabilistic conditional is nonmonotonic, that is, if the probability of Q given P is high, and R implies P, it need not follow that the probability of Q given R is high. If we were confident of concluding Q from the fact that we knew P, and we have stronger information R, we c…Read more
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91Vague predicates and language gamesTheoria 11 (3): 97-107. 1996.Attempts to give a Logic or Semantics for vague predicates and to defuse the Sorites paradoxes have been largely a failure. We point out yet another problem with these predicates which has not been remarked on before,namely that different people do and must use these predicates in individually different ways. Thus even if there were a semantics for vague predicates, people would not be able to share it. To explain the occurrence nonetheless of these troublesome predicates in language, we propose…Read more
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128Sentences, belief and logical omniscience, or what does deduction tell us?Review of Symbolic Logic 1 (4): 459-476. 2008.We propose a model for belief which is free of presuppositions. Current models for belief suffer from two difficulties. One is the well known problem of logical omniscience which tends to follow from most models. But a more important one is the fact that most models do not even attempt to answer the question what it means for someone to believe something, and just what it is that is believed. We provide a flexible model which allows us to give meaning to beliefs in general contexts, including th…Read more
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4Review: Georg Kreisel, William W. Tait, Finite Definability of Number-Theoretic Functions and Parametric Completeness of Equational Calculi (review)Journal of Symbolic Logic 32 (2): 270-271. 1967.
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30How Far Can We Formalize Language Games?Vienna Circle Institute Yearbook 3 89-100. 1995.I want to start by giving some quotes from Wittgenstein. It is part of his conception of what the foundations of Mathematics are about, a conception which many people have found peculiar and one of my defects is that I am not able to find it peculiar anymore, but find it perfectly sensible
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127Conditional Probability and Defeasible InferenceJournal of Philosophical Logic 34 (1). 2005.We offer a probabilistic model of rational consequence relations (Lehmann and Magidor, 1990) by appealing to the extension of the classical Ramsey-Adams test proposed by Vann McGee in (McGee, 1994). Previous and influential models of nonmonotonic consequence relations have been produced in terms of the dynamics of expectations (Gärdenfors and Makinson, 1994; Gärdenfors, 1993).'Expectation' is a term of art in these models, which should not be confused with the notion of expected utility. The exp…Read more
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131Game Logic - An OverviewStudia Logica 75 (2): 165-182. 2003.Game Logic is a modal logic which extends Propositional Dynamic Logic by generalising its semantics and adding a new operator to the language. The logic can be used to reason about determined 2-player games. We present an overview of meta-theoretic results regarding this logic, also covering the algebraic version of the logic known as Game Algebra.
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24Meeting of the Association for Symbolic Logic, New York City, May 1987Journal of Symbolic Logic 53 (4): 1270-1274. 1988.
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14Sock Sorting: An Example of a Vague AlgorithmLogic Journal of the IGPL 9 (5): 687-692. 2001.We give an example of a polynomial time algorithm for a particular algorithmic problem involving vagueness and visual indiscriminability, namely sock sorting
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7Review: Robert Goldblatt, Logics of Time and Computation (review)Journal of Symbolic Logic 56 (4): 1495-1496. 1991.
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Modal Logic and Possible WorldsIn Henrik Lagerlund, Sten Lindström & Rysiek Sliwinski (eds.), Modality Matters: Twenty-Five Essays in Honour of Krister Segerberg, Uppsala Philosophical Studies 53. pp. 53--339. 2006.
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13Goldblatt Robert. Logics of time and computation. CSLI lecture notes, no. 7. Center for the Study of Language and Information, Stanford 1987, also distributed by the University of Chicago Press, Chicago, ix + 131 pp (review)Journal of Symbolic Logic 56 (4): 1495-1496. 1991.
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22It is a sunny autumn day, and our protagonists have taken their meals outside, to enjoy the mild rays of the September sun. The NIAS cook Paul Nolte, as always glowing with pride while serving out his delicious food, has prepared a traditional Dutch meal today with sausage, red cabbage and pieces of apple
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33Vague Predicates and Language GamesTheoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 11 (3): 97-107. 1996.Attempts to give a Logic or Semantics for vague predicates and to defuse the Sorites paradoxes have been largely a failure. We point out yet another problem with these predicates which has not been remarked on before,namely that different people do and must use these predicates in individually different ways. Thus even if there were a semantics for vague predicates, people would not be able to share it. To explain the occurrence nonetheless of these troublesome predicates in language, we propose…Read more
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Some Reminiscences of KreiselIn Piergiorgio Odifreddi (ed.), Kreiseliana: About and Around Georg Kreisel, A K Peters. pp. 89. 1996.
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142Journal of Philosophical Logic 34, 97-119, 2005.
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24Review of “Epistemology, A Contemporary Introduction to the Theory of Knowledge” (review)Essays in Philosophy 9 (2): 6. 2008.
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30Meeting of the association for symbolic logic: New York city, may 1987Journal of Symbolic Logic 53 (4): 1270-1274. 1988.
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Uwe Schoning and Randall Pruim, Gems of Theoretical Computer ScienceJournal of Logic Language and Information 9 (1): 131-132. 2000.
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