Results for 'Pascal’s Wager'

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  1. Pascal's Wager for Christianity.Elizabeth Jackson - manuscript
    Pascal’s wager is unique among theistic arguments. It does not aim to establish that God exists but instead concludes that you ought to believe in, or wager on, God. In this chapter, I provide an overview of Pascal’s wager and discuss different approaches to the wager. Then, I consider how to motivate a wager for Christianity in particular. I also address common Christian objections to the wager. Finally, I cover the practical importance (...)
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  2. Salvaging Pascal’s Wager.Elizabeth Jackson & Andrew Rogers - 2019 - Philosophia Christi 21 (1):59-84.
    Many think that Pascal’s Wager is a hopeless failure. A primary reason for this is because a number of challenging objections have been raised to the wager, including the “many gods” objection and the “mixed strategy” objection. We argue that both objections are formal, but not substantive, problems for the wager, and that they both fail for the same reason. We then respond to additional objections to the wager. We show how a version of Pascalian (...)
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  3. Pascal’s wager and the origins of decision theory: decision-making by real decision-makers.James Franklin - 2018 - In Paul F. A. Bartha & Lawrence Pasternack (eds.), Pascal’s Wager. New York: Cambridge University Press. pp. 27-44.
    Pascal’s Wager does not exist in a Platonic world of possible gods, abstract probabilities and arbitrary payoffs. Real decision-makers, such as Pascal’s “man of the world” of 1660, face a range of religious options they take to be serious, with fixed probabilities grounded in their evidence, and with utilities that are fixed quantities in actual minds. The many ingenious objections to the Wager dreamed up by philosophers do not apply in such a real decision matrix. In (...)
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  4. Pascal's Wager and the persistent vegetative state.Jim Stone - 2007 - Bioethics 21 (2):84–92.
    I argue that a version of Pascal's Wager applies to the persistent vegetative state with sufficient force that it ought to part of advance directives.
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  5. Pascal's Wager is a possible bet (but not a very good one): Reply to Harmon Holcomb III.Graham Oppy - 1996 - International Journal for Philosophy of Religion 40 (2):101 - 116.
    In "To Bet The Impossible Bet", Harmon Holcomb III argues: (i) that Pascal's wager is structurally incoherent; (ii) that if it were not thus incoherent, then it would be successful; and (iii) that my earlier critique of Pascal's wager in "On Rescher On Pascal's Wager" is vitiated by its reliance on "logicist" presuppositions. I deny all three claims. If Pascal's wager is "incoherent", this is only because of its invocation of infinite utilities. However, even if infinite (...)
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  6. On Rescher on Pascal's Wager.Graham Oppy - 1991 - International Journal for Philosophy of Religion 30 (3):159 - 168.
    In Pascal's Wager: A Study Of Practical Reasoning In Philosophical Theology ,[1] Nicholas Rescher aims to show that, contrary to received philosophical opinion, Pascal's Wager argument is "the vehicle of a fruitful and valuable insight--one which not only represents a milestone in the development of an historically important tradition of thought but can still be seen as making an instructive contribution to philosophical theology".[2] In particular, Rescher argues that one only needs to adopt a correct perspective in order (...)
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  7. After Pascal’s Wager: on religious belief, regulated and rationally held.Jack Warman & David Efird - 2021 - International Journal for Philosophy of Religion 90 (1):61-78.
    In Pascal’s famous wager, he claims that the seeking non-believer can induce genuine religious belief in herself by joining a religious community and taking part in its rituals. This form of belief regulation is epistemologically puzzling: can we form beliefs in this way, and could such beliefs be rationally held? In the first half of the paper, we explain how the regimen could allow the seeking non-believer to regulate her religious beliefs by intervening on her evidence and epistemic (...)
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  8.  49
    Applying Pascal’s Wager to Procreation.Bruce P. Blackshaw - forthcoming - Sophia.
    Pascal’s wager uses decision theory to argue that it is rational to attempt to nurture belief in God, based on the expected utility of believing (infinite happiness) compared to not believing (at best, only finite happiness). A belief in an eternal conscious torment in hell (infinite suffering) for non-believers makes the differences in expected utility even more apparent, strengthening the argument. Similar reasoning can also be used to calculate the expected moral value of actions, including procreation. Under theism, (...)
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  9. Pascal’s Wager and Decision-making with Imprecise Probabilities.André Neiva - 2022 - Philosophia 51 (3):1479-1508.
    Unlike other classical arguments for the existence of God, Pascal’s Wager provides a pragmatic rationale for theistic belief. Its most popular version says that it is rationally mandatory to choose a way of life that seeks to cultivate belief in God because this is the option of maximum expected utility. Despite its initial attractiveness, this long-standing argument has been subject to various criticisms by many philosophers. What is less discussed, however, is the rationality of this choice in situations (...)
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  10. Faithfully Taking Pascal’s Wager.Elizabeth Jackson - 2023 - The Monist 106 (1):35–45.
    I examine the relationship between taking Pascal’s wager, faith, and hope. First, I argue that many who take Pascal’s wager have genuine faith that God exists. The person of faith and the wagerer have several things in common, including a commitment to God and positive cognitive and conative attitudes toward God’s existence. If one’s credences in theism are too low to have faith, I argue that the wagerer can still hope that God exists, another commitment-justifying theological (...)
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  11. Can Pascal’s Wager Save Morality from Ockham’s Razor?Tobias Beardsley - 2021 - Philosophia 50 (2):405-424.
    One version of moral error theory maintains that the central problem with morality is an ontological commitment to irreducible normativity. This paper argues that this version of error theory ultimately depends on an appeal to Ockham’s Razor, and that Ockham’s Razor should not be applied to irreducible normativity. This is because the appeal to Ockham’s Razor always contains an intractable element of epistemic circularity; and if this circularity is not vicious, we can construct a sound argument for the existence of (...)
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  12. Pascal’s wager: tracking an intended reader in the structure of the argument.Iva SVAČINOVÁ - 2016 - Argument: Biannual Philosophical Journal 6 (2):391-412.
    Pascal’s wager is the name of an argument in favor of belief in God presented by Blaise Pascal in §233 of Thoughts. Ian Hacking (1972) pointed out that Pascal’s text involves three different versions of the argument. This paper proceeds from this identification, but it concerns an examination of the rhetorical strategy realized by Pascal’s argumentation. The final form of Pascal’s argument is considered as a product that could be established only through a specific process (...)
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  13. A Permissivist Defense of Pascal’s Wager.Elizabeth Grace Jackson - 2023 - Erkenntnis 88 (6):2315-2340.
    Epistemic permissivism is the thesis that the evidence can rationally permit more than one attitude toward a proposition. Pascal’s wager is the idea that one ought to believe in God for practical reasons, because of what one can gain if theism is true and what one has to lose if theism is false. In this paper, I argue that if epistemic permissivism is true, then the defender of Pascal’s wager has powerful responses to two prominent objections. (...)
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  14. Infinity in Pascal's Wager.Graham Oppy - 2018 - In Paul F. A. Bartha & Lawrence Pasternack (eds.), Pascal’s Wager. New York: Cambridge University Press. pp. 260-77.
    Bartha (2012) conjectures that, if we meet all of the other objections to Pascal’s wager, then the many-Gods objection is already met. Moreover, he shows that, if all other objections to Pascal’s wager are already met, then, in a choice between a Jealous God, an Indifferent God, a Very Nice God, a Very Perverse God, the full range of Nice Gods, the full range of Perverse Gods, and no God, you should wager on the Jealous (...)
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  15. Pascal’s Wager: a Reason to Hesitate.Amos Wollen - 2022 - Philosophia 50 (5):2743-2750.
    One version of Pascal’s Wager says we should commit to, or cultivate belief in, whatever religion we think is most likely to bring us eternal joy. I pose a reductio for this version of the Wager. After exploring some ways the Pascalian might respond, the verdict is that it provides some reason to suspect that somewhere, somehow, the Wager goes wrong.
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  16. An Epistemic Version of Pascal's Wager.Elizabeth Jackson - forthcoming - Journal of the American Philosophical Association:1-17.
    Epistemic consequentialism is the view that epistemic goodness is more fundamental than epistemic rightness. This paper examines the relationship between epistemic consequentialism and theistic belief. I argue that, in an epistemic consequentialist framework, there is an epistemic reason to believe in God. Imagine having an unlimited amount of time to ask an omniscient being anything you wanted. The potential epistemic benefits would be enormous. Considerations like these point to an epistemic version of Pascal’s wager. I compare and contrast (...)
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  17. Two caricatures, I: Pascal's Wager.James Franklin - 1998 - International Journal for Philosophy of Religion 44 (2):109 - 114.
    Pascal’s wager and Leibniz’s theory that this is the best of all possible worlds are latecomers in the Faith-and-Reason tradition. They have remained interlopers; they have never been taken as seriously as the older arguments for the existence of God and other themes related to faith and reason.
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  18. 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. (...)
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  19. Mixed strategies, uncountable times, and Pascal's Wager: a reply to Robertson.Kenny Easwaran & Bradley Monton - 2012 - Analysis 72 (4):681-685.
    Pascal’s Wager holds that one has pragmatic reason to believe in God, since that course of action has infinite expected utility. The mixed strategy objection holds that one could just as well follow a course of action that has infinite expected utility but is unlikely to end with one believing in God. Monton (2011. Mixed strategies can’t evade Pascal’s Wager. Analysis 71: 642–45.) has argued that mixed strategies can’t evade Pascal’s Wager, while Robertson (2012. (...)
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  20. Mixed strategies can't evade Pascal's Wager.Bradley Monton - 2011 - Analysis 71 (4):642-645.
    I defend Pascal's Wager from a particular way of evading it, the mixed strategy approach. The mixed strategies approach suggests that Pascal's Wager does not obligate one to believe in God, because one can get the same infinite expected utility from other strategies besides the strategy of believing in God. I will show that while there's nothing technically wrong with the mixed strategy approach, rationality requires it to be applied in such a way that Pascal's Wager doesn't (...)
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  21. The Many Gods Objection to Pascal’s Wager.Lawrence Pasternack - 2012 - Philo 15 (2):158-178.
    The Many Gods Objection (MGO) is widely viewed as a decisive criticism of Pascal’s Wager. By introducing a plurality of hypotheses with infinite expected utility into the decision matrix, the wagerer is left without adequate grounds to decide between them. However, some have attempted to rebut this objection by employing various criteria drawn from the theological tradition. Unfortunately, such defenses do little good for an argument that is supposed to be an apologetic aimed at atheists and agnostics. The (...)
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  22. Construing faith as action won't save Pascal's Wager.Steve Petersen - 2006 - Philo 9 (2):221-229.
    Arthur Falk has proposed a new construal of faith according to which it is not a mere species of belief, but has essential components in action. This twist on faith promises to resurrect Pascal’s Wager, making faith compatible with reason by believing as the scientist but acting as the theist. I argue that Falk’s proposal leaves religious faith in no better shape; in particular, it merely reframes the question in terms of rational desires rather than rational beliefs.
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  23. Animal Interrupted, or Why Accepting Pascal's Wager Might Be the Last Thing You Ever Do.Sam Baron & Christina Dyke - 2014 - Southern Journal of Philosophy 52 (S1):109-133.
    According to conventionalist accounts of personal identity, persons are constituted in part by practices and attitudes of certain sorts of care. In this paper, we concentrate on the most well-developed and defended version of conventionalism currently on offer (namely, that proposed by David Braddon-Mitchell, Caroline West, and Kristie Miller) and discuss how the conventionalist appears forced either (1) to accept arbitrariness concerning from which perspective to judge one's survival or (2) to maintain egalitarianism at the cost of making “transfiguring” decisions (...)
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  24. The Buddha’s Lucky Throw and Pascal’s Wager.Bronwyn Finnigan - 2024 - Australasian Journal of Philosophy 102 (3):561-580.
    The Apaṇṇaka Sutta, one of the early recorded teachings of the Buddha, contains an argument for accepting the doctrines of karma and rebirth that Buddhist scholars claim anticipates Pascal’s wager. I call this argument the Buddha’s wager. Does it anticipate Pascal’s wager and is it a good bet? Contemporary scholars identify at least four versions of Pascal’s wager in his Pensées. This article demonstrates that the Buddha’s wager anticipates two versions of (...) wager, but not its canonical form. Like Pascal’s wager, the Buddha’s wager presents a decision problem between two opposing theses in an epistemic context that lacks evidence of their truth or falsity. Like Pascal, the Buddha also tries to solve this problem using dominance, superdominance or ‘superduperdominance’ reasoning. The Apaṇṇaka Sutta likely provides the earliest textual example of such reasoning. While the Buddha’s wager does not exhibit the expected utility reasoning of the best-known form of Pascal’s wager, the article suggests a reformulation that parallels Alan Hájek’s (2018) vector-value reformulation. Is it a good bet? This article argues that it is not if this means we are rationally required to accept its recommendation. This is because, while it avoids two of the major objections levelled against Pascal’s wager, it succumbs to one and has at least two problems of its own. (shrink)
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  25. Winning counterterrorism's version of Pascal's wager, but struggling to open the purse.Brian J. Gibbs - 2014 - Behavioral and Brain Sciences 37 (4):368-369.
    Lankford’s (2013) essential empirical argument, which is based on evidence such as psychological autopsies, is that suicide attacks are caused by suicidality. By operationalizing this causal claim in a hypothetical experiment, I show the claim to be provable, and I contend that its truth is supported by Lankford’s data. However, I question the success of his follow-on arguments about beauty and goodness.
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  26. Prophylactic Neutrality, Oppression, and the Reverse Pascal's Wager.Simon R. Clarke - 2012 - Ethical Perspectives 19 (3):527-535.
    In Beyond Neutrality, George Sher criticises the idea that state neutrality between competing conceptions of the good helps protect society from oppression. While he is correct that some governments are non-neutral without being oppressive, I argue that those governments may be neutral at the core of their foundations. The possibility of non-neutrality leading to oppression is further explored; some conceptions of the good would favour oppression while others would not. While it is possible that a non-neutral state may avoid oppression, (...)
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  27. Pascal's Challenge.Steven Merle Duncan - manuscript
    Subtitled "The Lazy Gambler's Guide to Choosing a Religion," this essay presents an account of Pascal's Wager that avoids most of the major traditional objections to Pascal's appeal to self-interest as an incentive to the investigation of Christian evidences. I then turn to what I call "the Lazy Objection" to the wager, which claims that there are too many religions all of which can make a similar appeal and argue that this is simply false. I conclude that, considered (...)
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  28. Wittgenstein’s Wager: On [Absolute] Certainty.Noah Greenstein - 2022 - Southwest Philosophy Review 38 (1):51-57.
    Knowledge is analyzed in terms of the cost incurred when mistakes are made — things we should have known better, but didn’t. Following Wittgenstein at the end of On Certainty, an Epistemic Wager, similar to Pascal’s Wager, is set up to represent the cost differences not in belief vs. disbelief, but in knowledge vs. skepticism. This leads to a core class of absolutely certain knowledge, related to Moorean Facts, that is integrated into our everyday lives. This core (...)
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  29. Planning for Pascal's Mugging.Jeffrey Sanford Russell - manuscript
    In "Pascal's Mugging" (Bostrom 2009), Pascal gives away his wallet for an extremely tiny chance of an extremely large reward. In this continuation of Bostrom's story, Pascal's friend counsels him to take into account the possibility of making mistakes about his true expected utilities, and they consider to what extent this will help Pascal make plans to avoid future muggings.
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  30. Wagering with and without Pascal.Daniel Collette & Joseph Anderson - 2018 - Res Philosophica 95 (1):95-110.
    Pascal’s wager has received the attention of philosophers for centuries. Most of its criticisms arise from how the wager is often framed. We present Pascal’s wager three ways: in isolation from any further apologetic arguments, as leading toward a regimen intended to produce belief, and finally embedded in a larger apology that includes evidence for Christianity. We find that none of the common objections apply when the wager is presented as part of Pascal’s (...)
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  31. Wagering on an Ironic God: Pascal on Faith and Philosophy by Thomas S. Hibbs. [REVIEW]Graham Oppy - 2018 - Journal of the History of Philosophy 56 (2):372-373.
    This is a short review of Thomas S. Hibbs' book: *Wagering on an Ironic God: Pascal on Faith and Philosophy*.
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  32. A Thoroughly Modern Wager.Michael J. Shaffer - 2017 - Logos and Episteme 8 (2):207-231.
    This paper presents a corrected version of Pascal's wager that makes it consonant with modern decision theory. The corrected wager shows that not committing to God's existence is the rational choice.
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  33. Pascalian Expectations and Explorations.Alan Hajek & Elizabeth Jackson - forthcoming - In Roger Ariew & Yuval Avnur (eds.), The Blackwell Companion to Pascal. Wiley-Blackwell.
    Pascal’s Wager involves expected utilities. In this chapter, we examine the Wager in light of two main features of expected utility theory: utilities and probabilities. We discuss infinite and finite utilities, and zero, infinitesimal, extremely low, imprecise, and undefined probabilities. These have all come up in recent literature regarding Pascal’s Wager. We consider the problems each creates and suggest prospects for the Wager in light of these problems.
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  34. How to Save Pascal (and Ourselves) From the Mugger.Avram Hiller & Ali Hasan - forthcoming - Dialogue:1-17.
    In this article, we re-examine Pascal’s Mugging, and argue that it is a deeper problem than the St. Petersburg paradox. We offer a way out that is consistent with classical decision theory. Specifically, we propose a “many muggers” response analogous to the “many gods” objection to Pascal’s Wager. When a very tiny probability of a great reward becomes a salient outcome of a choice, such as in the offer of the mugger, it can be discounted on the (...)
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  35. Surreal Decisions.Eddy Keming Chen & Daniel Rubio - 2020 - Philosophy and Phenomenological Research 100 (1):54-74.
    Although expected utility theory has proven a fruitful and elegant theory in the finite realm, attempts to generalize it to infinite values have resulted in many paradoxes. In this paper, we argue that the use of John Conway's surreal numbers shall provide a firm mathematical foundation for transfinite decision theory. To that end, we prove a surreal representation theorem and show that our surreal decision theory respects dominance reasoning even in the case of infinite values. We then bring our theory (...)
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  36. Wagering Against Divine Hiddenness.Elizabeth Jackson - 2016 - European Journal for Philosophy of Religion 8 (4):85-108.
    J.L. Schellenberg argues that divine hiddenness provides an argument for the conclusion that God does not exist, for if God existed he would not allow non-resistant non-belief to occur, but non-resistant non-belief does occur, so God does not exist. In this paper, I argue that the stakes involved in theistic considerations put pressure on Schellenberg’s premise that non-resistant non-belief occurs. First, I specify conditions for someone’s being a resistant non-believer. Then, I argue that many people fulfill these conditions because, given (...)
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  37. Wagering on Pragmatic Encroachment.Daniel Eaton & Timothy Pickavance - 2017 - Oxford Studies in Philosophy of Religion 8:96-117.
    Lately, there has been an explosion of literature exploring the the relationship between one’s practical situation and one’s knowledge. Some involved in this discussion have suggested that facts about a person’s practical situation might affect whether or not a person knows in that situation, holding fixed all the things standardly associated with knowledge (like evidence, the reliability of one’s cognitive faculties, and so on). According to these “pragmatic encroachment” views, then, one’s practical situation encroaches on one’s knowledge. Though we won’t (...)
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  38. A Normativity Wager for Skeptics.Elizabeth O’Neill - 2023 - Topoi 42 (1):121-132.
    Several philosophers have recently advanced wager-based arguments for the existence of irreducibly normative truths or against normative nihilism. Here I consider whether these wager-based arguments would cause a normative Pyrrhonian skeptic to lose her skepticism. I conclude they would not do so directly. However, if prompted to consider a different decision problem, which I call the normativity wager for skeptics, the normative Pyrrhonian skeptic would be motivated to attempt to act in accordance with any normative reasons to (...)
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  39. Pragmatic Arguments for Theism.Elizabeth Jackson - 2023 - In John Greco, Tyler Dalton McNabb & Jonathan Fuqua (eds.), The Cambridge Handbook of Religious Epistemology. New York, NY: Cambridge University Press. pp. 70–82.
    Traditional theistic arguments conclude that God exists. Pragmatic theistic arguments, by contrast, conclude that you ought to believe in God. The two most famous pragmatic theistic arguments are put forth by Blaise Pascal (1662) and William James (1896). Pragmatic arguments for theism can be summarized as follows: believing in God has significant benefits, and these benefits aren’t available for the unbeliever. Thus, you should believe in, or ‘wager on’, God. This article distinguishes between various kinds of theistic wagers, including (...)
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  40. Rational Action without Knowledge (and vice versa).Jie Gao - 2017 - Synthese 194 (6):1901-1917.
    It has been argued recently that knowledge is the norm of practical reasoning. This norm can be formulated as a bi-conditional: it is appropriate to treat p as a reason for acting if and only if you know that p. Other proposals replace knowledge with warranted or justified belief. This paper gives counter-examples of both directions of any such bi-conditional. To the left-to-right direction: scientists can appropriately treat as reasons for action propositions of a theory they believe to be false (...)
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  41. Pragmatic Arguments in the Qur'an for Belief.M. Shahid Alam - manuscript
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  42. Stakes and beliefs.Brad Armendt - 2010 - Philosophical Studies 147 (1):71 - 87.
    The idea that beliefs may be stake-sensitive is explored. This is the idea that the strength with which a single, persistent belief is held may vary and depend upon what the believer takes to be at stake. The stakes in question are tied to the truth of the belief—not, as in Pascal’s wager and other cases, to the belief’s presence. Categorical beliefs and degrees of belief are considered; both kinds of account typically exclude the idea and treat belief (...)
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  43. Learning from Arguments: An Introduction to Philosophy.Daniel Z. Korman - 2022 - The PhilPapers Foundation.
    Learning from Arguments advances accessible versions of key philosophical arguments, in a form that students can emulate in their own writing, and with the primary aim of cultivating an understanding of the dynamics of philosophical argumentation. -/- The book contains ten core chapters, covering the problem of evil, Pascal’s wager, personal identity, the irrationality of fearing death, free will and determinism, Cartesian skepticism, the problem of induction, the problem of political authority, the violinist argument, the future-like-ours argument, the (...)
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  44. Cognitive Bias, the Axiological Question and the Epistemic Probability of Theistic Belief.Dan Linford & Jason Megill - 2018 - In Mirosław Szatkowski (ed.), Ontology of Theistic Beliefs: Meta-Ontological Perspectives. De Gruyter. pp. 77-92.
    Some recent work in philosophy of religion addresses what can be called the “axiological question,” i.e., regardless of whether God exists, would it be good or bad if God exists? Would the existence of God make the world a better or a worse place? Call the view that the existence of God would make the world a better place “Pro-Theism.” We argue that Pro-Theism is not implausible, and moreover, many Theists, at least, (often implicitly) think that it is true. That (...)
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  45. God and Infinity: Directions for Future Research.Graham Oppy - 2011 - In Michał Heller & W. H. Woodin (eds.), Infinity: new research frontiers. New York: Cambridge University Press. pp. 233.
    This paper discusses the treatment of "infinity" in philosophy of religion, including its use in discussions of divine attributes, and its use in various arguments about the existence of God (including the kalam cosmological argument and Pascal's wager). The aim of the paper is to set out -- and where possible, to resolve -- various foundational problems about infinity.
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  46. (1 other version)Logic and Theism.Graham Oppy - 2006 - Philo 9 (1):73-91.
    This paper is a critical review of Howard Sobel’s ’Logic and Theism’. I discuss his analyses of ontological arguments, cosmological arguments, teleological arguments, and arguments from evil, and comment upon his accounts of Pascal’s wager and Hume on miracles. My overall judgment is that this is the very best book on arguments about the existence of God that has yet appeared.
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  47. Locke and Leibniz on the Balance of Reasons.Markku Roinila - 2013 - In Dana Riesenfeld & Giovanni Scarafile (eds.), Perspectives on Theory of Controversies and the Ethics of Communication: Explorations of Marcelo Dascal's Contributions to Philosophy. Dordrecht: Springer. pp. 49-57.
    One of the features of John Locke’s moral philosophy is the idea that morality is based on our beliefs concerning the future good. In An Essay Concerning Human Understanding II, xxi, §70, Locke argues that we have to decide between the probability of afterlife and our present temptations. In itself, this kind of decision model is not rare in Early Modern philosophy. Blaise Pascal’s Wager is a famous example of a similar idea of balancing between available options which (...)
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  48. A Paradox for Tiny Probabilities and Enormous Values.Nick Beckstead & Teruji Thomas - forthcoming - Noûs.
    We begin by showing that every theory of the value of uncertain prospects must have one of three unpalatable properties. _Reckless_ theories recommend giving up a sure thing, no matter how good, for an arbitrarily tiny chance of enormous gain; _timid_ theories permit passing up an arbitrarily large potential gain to prevent a tiny increase in risk; _non-transitive_ theories deny the principle that, if A is better than B and B is better than C, then A must be better than (...)
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  49. Action-Centered Faith, Doubt, and Rationality.Daniel J. McKaughan - 2016 - Journal of Philosophical Research 41 (9999):71-90.
    Popular discussions of faith often assume that having faith is a form of believing on insufficient evidence and that having faith is therefore in some way rationally defective. Here I offer a characterization of action-centered faith and show that action-centered faith can be both epistemically and practically rational even under a wide variety of subpar evidential circumstances.
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  50. Non-Archimedean Preferences Over Countable Lotteries.Jeffrey Sanford Russell - 2020 - Journal of Mathematical Economics 88 (May 2020):180-186.
    We prove a representation theorem for preference relations over countably infinite lotteries that satisfy a generalized form of the Independence axiom, without assuming Continuity. The representing space consists of lexicographically ordered transfinite sequences of bounded real numbers. This result is generalized to preference orders on abstract superconvex spaces.
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