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  1. A Note on Function Quantification.J. W. Addison & S. C. Kleene - 1958 - Journal of Symbolic Logic 23 (1):47-48.
  2. Pragmatic Arguments in the Qur'an for Belief.M. Shahid Alam - manuscript
  3. Expectations and Choiceworthiness.J. McKenzie Alexander - 2011 - Mind 120 (479):803-817.
    The Pasadena game is an example of a decision problem which lacks an expected value, as traditionally conceived. Easwaran (2008) has shown that, if we distinguish between two different kinds of expectations, which he calls ‘strong’ and ‘weak’, the Pasadena game lacks a strong expectation but has a weak expectation. Furthermore, he argues that we should use the weak expectation as providing a measure of the value of an individual play of the Pasadena game. By considering a modified version of (...)
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  4. Qualitative Decision Theory Via Channel Theory.Gerard Allwein, Yingrui Yang & William L. Harrison - 2011 - Logic and Logical Philosophy 20 (1-2):81-110.
    We recast parts of decision theory in terms of channel theory concentrating on qualitative issues. Channel theory allows one to move between model theoretic and language theoretic notions as is necessary for an adequate covering. Doing so clarifies decision theory and presents the opportunity to investigate alternative formulations. As an example, we take some of Savage’s notions of decision theory and recast them within channel theory. In place of probabilities, we use a particular logic of preference. We introduce a logic (...)
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  5. Models of Preference Reversals and Personal Rules: Do They Require Maximizing a Utility Function with a Specific Structure?Horacio Arló-Costa - 2005 - Behavioral and Brain Sciences 28 (5):650-651.
    One of the reasons for adopting hyperbolic discounting is to explain preference reversals. Another is that this value structure suggests an elegant theory of the will. I examine the capacity of the theory to solve Newcomb's problem. In addition, I compare Ainslie's account with other procedural theories of choice that seem at least equally capable of accommodating reversals of preference.
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  6. Intention and Understanding.Karl Aschenbrenner - 1954 - Journal of Symbolic Logic 19 (2):138-138.
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  7. Taking Stock of Infinite Value: Pascal’s Wager and Relative Utilities.Paul Bartha - 2007 - Synthese 154 (1):5-52.
    Among recent objections to Pascal's Wager, two are especially compelling. The first is that decision theory, and specifically the requirement of maximizing expected utility, is incompatible with infinite utility values. The second is that even if infinite utility values are admitted, the argument of the Wager is invalid provided that we allow mixed strategies. Furthermore, Hájek has shown that reformulations of Pascal's Wager that address these criticisms inevitably lead to arguments that are philosophically unsatisfying and historically unfaithful. Both the objections (...)
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  8. Review: W. Ackermann, Solvable Cases of the Decision Problem. [REVIEW]Paul Bernays - 1957 - Journal of Symbolic Logic 22 (1):68-72.
  9. Review: John D. Goodell, Decision Elements; John D. Goodell, The Foundations of Computing Machinery; Tenny Lode, The Realization of a Universal Decision Element. [REVIEW]Nelson M. Blachman & William W. Boone - 1953 - Journal of Symbolic Logic 18 (3):283-284.
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  10. The « Prisoner's Dilemma » and the Limits of Rationality.Max Black - 1978 - International Studies in Philosophy 10:7-22.
  11. Word Problems, Decision Problems and Burnside Problem in Group Theory.William W. Boone, Frank B. Cannonito & Roger C. Lyndon - 1976 - Journal of Symbolic Logic 41 (4):785-788.
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  12. The Meta-Newcomb Problem.N. Bostrom - 2001 - Analysis 61 (4):309-310.
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  13. The Meta-Newcomb Problem.Nick Bostrom - 2001 - Analysis 61 (4):309–310.
    There are two boxes in front of you and you are asked to choose between taking only box B or taking both box A and box B. Box A contains $ 1,000. Box B will contain either nothing or $ 1,000,000. What B will contain is (or will be) determined by Predictor, who has an excellent track record of predicting your choices. There are two possibilities. Either Predictor has already made his move by predicting your choice and putting a million (...)
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  14. Monty Hall Drives a Wedge Between Judy Benjamin and the Sleeping Beauty: A Reply to Bovens.Luc Bovens & Jose-Luis Ferreira - 2010 - Analysis 70 (3):473 - 481.
    In “Judy Benjamin is a Sleeping Beauty” (2010) Bovens recognises a certain similarity between the Sleeping Beauty (SB) and the Judy Benjamin (JB). But he does not recognise the dissimilarity between underlying protocols (as spelled out in Shafer (1985). Protocols are expressed in conditional probability tables that spell out the probability of coming to learn various propositions conditional on the actual state of the world. The principle of total evidence requires that we not update on the content of the proposition (...)
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  15. Treatment Option or Pharmacological Wager?Ann Boyd - 2013 - Journal of Clinical Research and Bioethics 4 (4).
  16. Bayesianism And Self-Locating Beliefs.Darren Bradley - 2007 - Dissertation, Stanford University
    How should we update our beliefs when we learn new evidence? Bayesian confirmation theory provides a widely accepted and well understood answer – we should conditionalize. But this theory has a problem with self-locating beliefs, beliefs that tell you where you are in the world, as opposed to what the world is like. To see the problem, consider your current belief that it is January. You might be absolutely, 100%, sure that it is January. But you will soon believe it (...)
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  17. Review: Pascal Michel, Busy Beaver Competition and Collatz-Like Problems. [REVIEW]Allen H. Brady - 1998 - Journal of Symbolic Logic 63 (1):331-332.
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  18. Characterization of Dominance Relations in Finite Coalitional Games.Felix Brandt & Paul Harrenstein - 2010 - Theory and Decision 69 (2):233-256.
    McGarvey (Econometrica, 21(4), 608–610, 1953) has shown that any irreflexive and anti-symmetric relation can be obtained as a relation induced by majority rule. We address the analogous issue for dominance relations of finite cooperative games with non-transferable utility (coalitional NTU games). We find any irreflexive relation over a finite set can be obtained as the dominance relation of some finite coalitional NTU game. We also show that any such dominance relation is induced by a non-cooperative game through β-effectivity. Dominance relations (...)
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  19. From Preference to Utility: A Problem of Descriptive Set Theory.John P. Burgess - 1985 - Notre Dame Journal of Formal Logic 26 (2):106-114.
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  20. Fischer on Backtracking and Newcomb's Problem.E. Carlson - 1998 - Analysis 58 (3):229-231.
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  21. The Indefinitely Iterated Prisoner's Dilemma: Reply to Becker and Cudd.John W. Carroll - 1993 - Theory and Decision 34 (1):63-72.
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  22. Is the Wager Back On? A Response to Douglas Groothuis.Alan Carter - 2002 - Philosophia Christi 4 (2):493-500.
  23. Newcomb's Problem.Jackie Ray Caughran - 1980 - Dissertation, University of Illinois at Urbana-Champaign
    Newcomb's Problem is a hypothetical situation wherein you are called upon to choose between two possible but mutually exclusive acts for both of which there are seemingly compelling, if not conclusive, arguments. As such it is a challenge to those who would construct a coherent and complete theory of rational decision. After introducing and clarifying the problem I suggest, following Robert Nozick, that the conflict, if there be such, is between a policy of choosing a dominant act and an policy (...)
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  24. The Hausdorff Lower Semicontinuous Envelope of the Length in the Plane.Raphaël Cerf - 2002 - Annali della Scuola Normale Superiore di Pisa 1 (1):33-71.
    We study the Hausdorff lower semicontinuous envelope of the length in the plane. This envelope is taken with respect to the Hausdorff metric on the space of the continua. The resulting quantity appeared naturally as the rate function of a large deviation principle in a statistical mechanics context and seems to deserve further analysis. We provide basic simple results which parallel those available for the perimeter of Caccioppoli and De Giorgi.
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  25. The St. Petersburg Two-Envelope Paradox.D. J. Chalmers - 2002 - Analysis 62 (2):155-157.
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  26. Gauthier David P.. Hare's Debtors. Mind, N.S. Vol. 77 , Pp. 400–405.Brian F. Chellas - 1974 - Journal of Symbolic Logic 39 (2):366.
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  27. Review: David P. Gauthier, Hare's Debtors. [REVIEW]Brian F. Chellas - 1974 - Journal of Symbolic Logic 39 (2):366-366.
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  28. Review: William W. Boone, Frank B. Cannonito, Roger C. Lyndon, Word Problems, Decision Problems and Burnside Problem in Group Theory. [REVIEW]C. R. J. Clapham - 1976 - Journal of Symbolic Logic 41 (4):785-788.
  29. Morality and Method in Pascal's.Ann T. Delehanty - 2004 - Philosophy and Literature 28 (1).
    : This essay argues that Pascal's work both questions the accuracy of perspective in an infinite universe, and describes a model for moral truth that escapes the limitations of perspective. This model, rooted in Christianity, requires a total reorientation of approach towards moral truth. By asserting the limits of rational method, making use of recent scientific developments, and constructing a new model for moral truth, Pascal's work sought to update the role of Christianity to be not only consonant with the (...)
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  30. Dictatorship of the “Proletariat”.Stanisław Dronicz & Lesław Kawalec - 2011 - Dialogue and Universalism 21 (3):137-150.
    This article sets out to propose some characteristic features of the intellectual and ethical attitudes which, in the popular belief and scholarly communities alike, stand for ideals worthy of promoting as ones which could underpin a modern society where both believers and unbelievers can feel at home. The “ethos” is construed to be about the sort of behaviour logically stemming from a tolerant outlook on the one hand, and an intellectual commitment to a noble cause worthy of one’s efforts, on (...)
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  31. Greenleaf Newcomb. Fields in Which Varieties Have Rational Points: A Note on a Problem of Ax. Proceedings of the American Mathematical Society, Vol. 27 , Pp. 139–140. [REVIEW]Verena H. Dyson - 1973 - Journal of Symbolic Logic 38 (1):163.
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  32. Review: Newcomb Greenleaf, Fields in Which Varieties Have Rational Points: A Note on a Problem of Ax. [REVIEW]Verena H. Dyson - 1973 - Journal of Symbolic Logic 38 (1):163-163.
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  33. Newcomb's Many Solutions.Ellery Eells - 1984 - Theory and Decision 16 (1):59-105.
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  34. A Representation Theorem for Frequently Irrational Agents.Edward Elliott - 2017 - Journal of Philosophical Logic 46 (5):467-506.
    The standard representation theorem for expected utility theory tells us that if a subject’s preferences conform to certain axioms, then she can be represented as maximising her expected utility given a particular set of credences and utilities—and, moreover, that having those credences and utilities is the only way that she could be maximising her expected utility. However, the kinds of agents these theorems seem apt to tell us anything about are highly idealised, being always probabilistically coherent with infinitely precise degrees (...)
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  35. Intentions and Potential Intentions Revisited.Xiaocong Fan & John Yen - 2012 - Journal of Applied Non-Classical Logics 22 (3):203-230.
    The importance of potential intentions has been demonstrated both in the construction of agent systems and in the formalisation of teamwork behaviour. However, there still lacks an adequate semantics for the notion of potential intentions as introduced by Grosz and Kraus in their SharedPlans framework. In this paper, we give a formal semantics to intentions and potential intentions, drawing upon both the representationalist approach and the accessibility-based approach. The model captures the dynamic relationship among intentions and potential intentions by providing (...)
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  36. Newcomb's Problem: A Reply to Carlson.J. M. Fischer - 2001 - Analysis 61 (3):229-236.
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  37. Newcomb’s Problem: A Reply to Carlson.John Martin Fischer - 2001 - Analysis 61 (3):229–236.
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  38. The Science of Conjecture: Probability Before Pascal: Contents.James Franklin - 2001 - Johns Hopkins University Press.
    The Dark Ages The Gregorian Revolution The Glossators Invent "Half-Proof" Presumptions in Canon Law Innocent III Grades of Evidence, and Torture The Post-Glossators Bartolus and Baldus: The Completed Theory The Inquisition Maimonides on Testimony Law in the East Ch. 3 Renaissance Law..
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  39. XII—In the Neighbourhood of the Newcomb-Predictor.David Gauthier - 1989 - Proceedings of the Aristotelian Society 89 (1):179-194.
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  40. Loki's Wager and Laudan's Error.On Genuine & Territorial Demarcation - 2013 - In Massimo Pigliucci & Maarten Boudry (eds.), Philosophy of Pseudoscience: Reconsidering the Demarcation Problem. University of Chicago Press. pp. 79.
  41. Examining Boxing and Toxin.L. Goldstein - 2003 - Analysis 63 (3):242-244.
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  42. Examining Boxing and Toxin.Laurence Goldstein - 2003 - Analysis 63 (3):242–244.
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  43. A Unified Pyrrhonian Resolution of the Toxin Problem, the Surprise Examination, and Newcomb's Puzzle.Laurence Goldstein & Peter Cave - 2008 - American Philosophical Quarterly 45 (4):365 - 376.
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  44. Decision Elements.John D. Goodell & Tenny Lode - 1953 - Journal of Symbolic Logic 18 (3):283-284.
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  45. The St. Petersburg Puzzle.Samuel Gorovitz - 1979 - In Maurice Allais & Ole Hagen (eds.), Expected Utility Hypotheses and the Allais Paradox. D. Reidel. pp. 259--270.
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  46. The Decision Problem for Standard Classes.Yuri Gurevich - 1976 - Journal of Symbolic Logic 41 (2):460-464.
  47. Perplexing Expectations.Alan Hájek & Harris Nover - 2006 - Mind 115 (459):703 - 720.
    This paper revisits the Pasadena game (Nover and Háyek 2004), a St Petersburg-like game whose expectation is undefined. We discuss serveral respects in which the Pasadena game is even more troublesome for decision theory than the St Petersburg game. Colyvan (2006) argues that the decision problem of whether or not to play the Pasadena game is ‘ill-posed’. He goes on to advocate a ‘pluralism’ regarding decision rules, which embraces dominance reasoning as well as maximizing expected utility. We rebut Colyvan’s argument, (...)
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  48. Expected Content.Jeffrey Helzner - 2008 - Review of Symbolic Logic 1 (4):424-432.
    We propose an approach to assigning propositional content to deliberate acts of arbitrary type, as opposed to just speech acts. This approach, which is based on the idea that the content of an act is the decision maker's expectation concerning the change that would take place if the act were to be performed, is shown to be related to the concept of expected utility that has played a central role in various accounts of rationality.
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  49. Arrovian Aggregation of Generalised Expected-Utility Preferences: Possibility Results by Means of Model Theory.Frederik Herzberg - 2018 - Studia Logica 106 (5):947-967.
    Cerreia-Vioglio et al. :341–375, 2011) have proposed a very general axiomatisation of preferences in the presence of ambiguity, viz. Monotonic Bernoullian Archimedean preference orderings. This paper investigates the problem of Arrovian aggregation of such preferences—and proves dictatorial impossibility results for both finite and infinite populations. Applications for the special case of aggregating expected-utility preferences are given. A novel proof methodology for special aggregation problems, based on model theory, is employed.
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  50. Newcomb's Problem Revisited.Terry Horgan - 2015 - The Harvard Review of Philosophy 22:4-15.
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