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23The goal of this paper is to consider how the notion of analyticity can be dealt with in model-theoretical terms. The standard approach to possible-world semantics allows us to define logical truth and necessity, but analyticity is considerably more difficult to account for.
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25Pragmatic arguments for rationality constraintsIn Maria Carla Galavotti, Roberto Scazzieri & Patrick Suppes (eds.), Reasoning, Rationality and Probability, . pp. 139-163. 2008.My focus is on pragmatic arguments for various rationality constraints on a decision maker’s state of mind: on his beliefs or preferences. An argument of this kind purports to show that a violator of a given constraint can be exposed to a decision problem in which she will act to her guaranteed disadvantage. Dramatically put, she can be exploited by a clever bookie who doesn’t know more than the agent himself. Examples of pragmatic arguments of this kind are synchronic Dutch Books, for the stand…Read more
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889DDL unlimited: Dynamic doxastic logic for introspective agentsErkenntnis 50 (2-3): 353-385. 1999.The theories of belief change developed within the AGM-tradition are not logics in the proper sense, but rather informal axiomatic theories of belief change. Instead of characterizing the models of belief and belief change in a formalized object language, the AGM-approach uses a natural language — ordinary mathematical English — to characterize the mathematical structures that are under study. Recently, however, various authors such as Johan van Benthem and Maarten de Rijke have suggested repr…Read more
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40This paper argues that expected utility theory for actions in chancy environments should be formulated in terms of centered chances. The subjective expected utility of an option A may be seen as a weighted sum of the utilities of A in different possible worlds, with weights being the credences that the agent assigns to these worlds. The utility of A in a given world is then definable as a weighted sum of the values of A’s different possible outcomes, with weights being the conditional chances of…Read more
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72Grappling With the Centipede: Defence of Backward Induction for BI-Terminating GamesEconomics and Philosophy 14 (1): 95-126. 1998.According to the standard objection to backward induction in games, its application depends on highly questionable assumptions about the players' expectations as regards future counterfactual game developments. It seems that, in order to make predictions needed for backward reasoning, the players must expect each player to act rationally at each node that in principle could be reached in the game, and also to expect that this confidence in the future rationality of the players would be kept by e…Read more
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Two Causal Decision Theories: Lewis vs SobelIn Tom Pauli (ed.), Philosophical Essays Dedicated to Lennart Åqvist, Philosophical Society and Dept. of Philosophy, University of Uppsala. pp. 299-321. 1982.
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107A Distinction in Value: Intrinsic and for its own sakeIn Toni Rønnow-Rasmussen & Michael J. Zimmerman (eds.), Proceedings of the Aristotelian Society, Springer. pp. 115--129. 2000.The paper argues that the final value of an object-i.e., its value for its own sake-need not be intrinsic. Extrinsic final value, which accrues to things in virtue of their relational rather than internal features, cannot be traced back to the intrinsic value of states that involve these things together with their relations. On the contrary, such states, insofar as they are valuable at all, derive their value from the things involved. The endeavour to reduce thing-values to state-values is large…Read more
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75Preference stability and substitution of indifferents: a rejoinder to SeidenfeldTheory and Decision 48 (4): 311-318. 2000.Seidenfeld (Seidenfeld, T. [1988a], Decision theory without 'Independence' or without 'Ordering', Economics and Philosophy 4: 267-290) gave an argument for Independence based on a supposition that admissibility of a sequential option is preserved under substitution of indifferents at choice nodes (S). To avoid a natural complaint that (S) begs the question against a critic of Independence, he provided an independent proof of (S) in his (Seidenfeld, T. [1988b], Rejoinder [to Hammond and McClennen…Read more
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44Letters From Long Ago: On Causal Decision Theory and Centered ChancesIn Johansson Lars-Göran (ed.), Logic, Ethics, and All That Jazz - Essays in Honour of Jordan Howard Sobel, . 2009.This paper argues that expected utility theory for actions in chancy environments should be formulated in terms of centered chances. The subjective expected utility of an option A may be seen as a weighted sum of the utilities of A in different possible worlds, with weights being the credences that the agent assigns to these worlds. The utility of A in a given world is then definable as a weighted sum of the values of A’s different possible outcomes, with weights being the conditional chances of…Read more
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20Appendix: The jury theorem and the discursive dilemmaPhilosophical Issues 11 (1): 295-299. 2001.
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70On Seidenfeldâs Criticism of Sophisticated Violations of the Independence AxiomTheory and Decision 43 (3): 279-292. 1997.An agent who violates independence can avoid dynamic inconsistency in sequential choice if he is sophisticated enough to make use of backward induction in planning. However, Seidenfeld has demonstrated that such a sophisticated agent with dependent preferences is bound to violate the principle of dynamic substitution, according to which admissibility of a plan is preserved under substitution of indifferent options at various choice nodes in the decision tree. Since Seidenfeld considers dynamic s…Read more
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22(Hard ernst) corrigendum Van Brakel, J., philosophy of chemistry (u. klein)Erkenntnis 57 (1): 91-122. 2002.It is a popular view thatpractical deliberation excludes foreknowledge of one's choice. Wolfgang Spohn and Isaac Levi have argued that not even a purely probabilistic self-predictionis available to thedeliberator, if one takes subjective probabilities to be conceptually linked to betting rates. It makes no sense to have a betting rate for an option, for one's willingness to bet on the option depends on the net gain from the bet, in combination with the option's antecedent utility, rather than on…Read more
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9Presumption of Equality requires that individuals be treated equally in the absence of relevant information that would discriminate between them. Our objective is to make this principle more precise, if viewed as a principle of fairness, and to determine why and under what conditions it should be obeyed. Presumption norms are procedural constraints, but their justification can be sought in the possible or expected outcomes of the procedures they regulate. This is the avenue pursued here. The sug…Read more
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592The strike of the demon: On fitting pro‐attitudes and valueEthics 114 (3): 391-423. 2004.The paper presents and discusses the so-called Wrong Kind of Reasons Problem (WKR problem) that arises for the fitting-attitudes analysis of value. This format of analysis is exemplified for example by Scanlon's buck-passing account, on which an object's value consists in the existence of reasons to favour the object- to respond to it in a positive way. The WKR problem can be put as follows: It appears that in some situations we might well have reasons to have pro-attitudes toward objects that a…Read more
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22Backward induction has been the standard method of solving finite extensive-form games with perfect information, notwithstanding the fact that this procedure leads to counter-intuitive results in various games. However, beginning in the late eighties, the method of backward induction became an object of criticism. It is claimed that the assumptions needed for its defence are quite implausible, if not incoherent. It is therefore natural to ask for the justification of backward induction: Can one …Read more
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60Remarks on the Absentminded DriverStudia Logica 73 (2): 241-256. 2003.Piccione and Rubinstein (1997) present and analyse the sequential decision problem of an “absentminded driver”. The driver's absentmindedness (imperfect recall) leads him to time-inconsistent strategy evaluations. His original evaluation gets replaced by a new one under impact of the information that the circumstances have changed, notwithstanding the fact that this change in circumstances has been expected by him all along. The time inconsistency in strategy evaluation suggests that such an age…Read more
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272A centipede for intransitive preferrersStudia Logica 67 (2): 167-178. 2000.In the standard money pump, an agent with cyclical preferences can avoid exploitation if he shows foresight and solves his sequential decision problem using backward induction (BI). This way out is foreclosed in a modified money pump, which has been presented in Rabinowicz (2000). There, BI will lead the agent to behave in a self-defeating way. The present paper describes another sequential decision problem of this kind, the Centipede for an Intransitive Preferrer, which in some respects is even…Read more
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72Prioritarianism and uncertainty: on the interpersonal addition theorem and the priority viewIn Dan Egonsson (ed.), Exploring Practical Philosophy: From Action to Values, Ashgate. pp. 139-165. 2001.I begin, in section 1, with a presentation of the Interpersonal Addition Theorem. The theorem, due to John Broome (1991), is a re-formulation of the classical result by Harsanyi (1955). It implies that, given some seemingly mild assumptions, the overall utility of an uncertain prospect can be seen as the sum of its individual utilities. In sections 1 and 2, I discuss the theorem's connection with utilitarianism and in particular consider its implications for the Priority View, according to which…Read more
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256Buck-passing and the right kind of reasonsPhilosophical Quarterly 56 (222). 2006.The ‘buck-passing’ account equates the value of an object with the existence of reasons to favour it. As we argued in an earlier paper, this analysis faces the ‘wrong kind of reasons’ problem: there may be reasons for pro-attitudes towards worthless objects, in particular if it is the pro-attitudes, rather than their objects, that are valuable. Jonas Olson has recently suggested how to resolve this difficulty: a reason to favour an object is of the right kind only if its formulation does not inv…Read more
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556Epistemic entrenchment with incomparabilities and relational belief revisionIn André Fuhrmann & Michael Morreau (eds.), The Logic of Theory Change, Springer. pp. 93--126. 1991.In earlier papers (Lindström & Rabinowicz, 1989. 1990), we proposed a generalization of the AGM approach to belief revision. Our proposal was to view belief revision as a relation rather thanas a function on theories (or belief sets). The idea was to allow for there being several equally reasonable revisions of a theory with a given proposition. In the present paper, we show that the relational approach is the natural result of generalizing in a certain way an approach to belief revision due to…Read more
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3Levi on money pumps and diachronic dutch booksIn Erik J. Olsson (ed.), Knowledge and Inquiry: Essays on the Pragmatism of Isaac Levi, Cambridge University Press. 2006.The paper's focus is on pragmatic arguments for various ‘rationality constraints’ on a decision maker’s state of mind: on his beliefs or preferences. An argument of this kind purports to show that a violator of a given constraint can be exposed to a decision problem in which he will act to his guaranteed disadvantage. Dramatically put, he can be exploited by a clever bookie who doesn’t know more than the agent himself. Examples of pragmatic arguments of this kind are synchronic Dutch Books, for …Read more
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361Value relationsTheoria 74 (1): 18-49. 2008.Abstract: The paper provides a general account of value relations. It takes its departure in a special type of value relation, parity, which according to Ruth Chang is a form of evaluative comparability that differs from the three standard forms of comparability: betterness, worseness and equal goodness. Recently, Joshua Gert has suggested that the notion of parity can be accounted for if value comparisons are interpreted as normative assessments of preference. While Gert's basic idea is attrac…Read more
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47How to model relational belief revisionIn Dag Prawitz & Dag Westerståhl (eds.), Logic and Philosophy of Science in Uppsala, Kluwer Academic Publishers. 1994.This is a short version of Lindström & Rabinowicz 1991.In earlier papers, we proposed a generalization of the AGM approach to belief revision. The proposal was to view belief revision as a relation rather than as a function on theories (or belief sets). Going relational means that one allows for several equally reasonable revisions of a theory with a given proposition. In the present paper, we show that the relational approach is the natural result of generalizing in a certain way an approach to…Read more
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176To Have One's Cake and Eat It, Too: Sequential Choice and Expected-utility ViolationsJournal of Philosophy 92 (11): 586-620. 1995.An agent whose preferences violate the Independence Axiom or for some other reason are not representable by an expected utility function, can avoid 'dynamic inconsistency' either by foresight ('sophisticated choice') or by subsequent adjustment of preferences to the chosen plan of action ('resolute choice'). Contrary to McClennen and Machina, among others, it is argued these two seemingly conflicting approaches to 'dynamic rationality' need not be incompatible. 'Wise choice' reconciles foresight…Read more
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86Does practical deliberation crowd out self-prediction?Erkenntnis 57 (1): 91-122. 2002.It is a popular view thatpractical deliberation excludes foreknowledge of one's choice. Wolfgang Spohn and Isaac Levi have argued that not even a purely probabilistic self-predictionis available to thedeliberator, if one takes subjective probabilities to be conceptually linked to betting rates. It makes no sense to have a betting rate for an option, for one's willingness to bet on the option depends on the net gain from the bet, in combination with the option's antecedent utility, rather than on…Read more
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