This collection of papers centres around a novel approach to the problem of phenomenal consciousness called cosmopsychism. A simple version of cosmopsychism says that the cosmos as a whole is conscious. In this collection, I focus on a comparison between arguably the most promising versions of cosmopsychism and panpsychism, called constitutive cosmopsychism and constitutive panpsychism, respectively. -/- The first paper, ‘A Blueprint for Cosmopsychism’ offers a blueprint for a cosmopsychist approach, comparing it to the panpsychist approach. It highlights how following (...) the blueprint allows one to sidestep the most serious of panpsychism’s problems, the combination problem, while also avoiding the problem of infinite decomposition. However, it notes that the approach must address a serious problem of its own in the derivation problem. -/- The second paper, ‘Beyond Panpsychism and Cosmopsychism? Focuses’ on two related views that reject subjects of experience at the fundamental level, thus avoiding the subject aspects of the combination and derivation problems. Albahari’s perennialism is touted as the natural successor to cosmopsychism; avoiding its subject derivation problem while maintaining a cosmic consciousness. Meanwhile, Coleman’s panqualityism is touted as a natural successor to panpsychism; avoiding its combination problem while maintaining that phenomenality is present at the level of microphysical ultimates. However, I show both views seem to face problems equal in measure to those they seek to avoid. -/- The third paper, ‘The Subject Problem for Panpsychism and Cosmopsychism’ targets the hardest problems for constitutive panpsychism and constitutive cosmopsychism; the subject combination problem and the subject derivation problem, respectively. I show that the two problems are almost identical, both hinging on the entailment of what I call synchronous perspectives scenarios. I formulate broad arguments from metaphysical impossibility and epistemic implausibility against both views, based on such scenarios. However, I provide a possible model of how to understand synchronous perspective scenarios unproblematically. I also provide several alternative responses. -/- The fourth, and final, paper in the collection provides an account of, and motivation for, a version of cosmopsychism I call CRP cosmopsychism. This version of cosmopsychism is created on the priority cosmopsychism blueprint and has three further key commitments: simple panpsychism, priority monism and Russellian monism. The paper motivates each of these commitments both in isolation and in partnership, before responding to each of the derivation problems; the subject derivation problem, the quality derivation problem and the structure derivation problem. Furthermore, I argue that cosmopsychism should be preferred over panpsychism owing to considerations concerning internal relations. (shrink)

A contemporary form of panpsychism says that phenomenality is prevalent because all physical ultimates instantiate phenomenal or protophenomenal properties. According to priority cosmopsychism, an alternative to panpsychism that we propose in this chapter, phenomenality is prevalent because the whole cosmos instantiates phenomenal or protophenomenal properties. It says, moreover, that the consciousness of the cosmos is ontologically prior to the consciousness of ordinary individuals like us. Since priority cosmopsychism is a highly speculative view our aim in this chapter remains modest and (...) limited. Instead of providing a full defense of priority cosmopsychism, we try to show only the theoretical advantage of the view over panpsychism. Tis, however, by no means entails that we develop the view in logical space merely for its own sake. We offer instead a blueprint for a new alternative to panpsychism and explain how such a view avoids some of the most persistent problems for panpsychism while maintaining several of its strengths. (shrink)

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 (...) some plausible assumptions, there is a very good pragmatic reason to be a theist rather than an atheist. I assume it is more likely that theists go to heaven than atheists, and I argue there is a non-zero probability that one can receive infinite utility and a method of comparing outcomes with infinite utilities in which the probability of each outcome affects the final expected values. Then, I show how this argument entails there is no good reason to think that there are very many non-resistant non-believers. (shrink)

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 reasoning (...) succeeds, giving us a reason to pay special attention to the infinite consequences of our actions. (shrink)

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 virtue. I (...) conclude with two upshots of the argument, including how it provides responses to common objections to Pascal’s wager. (shrink)

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 larger project. Pascal’s (...) wager is a successful argument in its proper place. However, the most interesting features of our first two presentations of the wager turn out to be either irrelevant or missing from our reading: infinite utility and the relativity of evidence. The successful wager is a boring wager. Still, this study shows us how the wager might profitably be incorporated into different apologetic contexts and why it often can’t. (shrink)

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 (...) endorse pragmatic encroachment here, we find the view intriguing, and it’s popularity warrants carefully considering it’s implications. One potential avenue of exploration concerns religious epistemology, in particular, whether pragmatic encroachment has consequences concerning the epistemic requirements of atheism. We begin the journey down that avenue by connecting Pascal’s Wager to pragmatic encroachment in order to defend this conditional: If there is pragmatic encroachment, then it is ceteris paribus more difficult to know that atheism is true (if it is) than it is to know that God exists (if God does exist). (shrink)

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 the situation (...) Pascal addresses, the Wager is a good bet. In the situation of a modern Western intellectual, the reasoning of the Wager is still powerful, though the range of options and the actions indicated are not the same as in Pascal’s day. (shrink)

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.

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 God. I (...) argue that his requirement of [strongly] stable equilibrium is not well-motivated. There are other types of Gods, no less worthy of consideration than those that figure in Bartha’s deliberations, which are intuitively no worse wagers than the Jealous God. In particular, I have suggested that one does no worse to wager on a jealous cartel than one does to wager on a Jealous God. Moreover, I argue that there are other types of Gods, no less worthy of consideration than those that figure in Bartha’s deliberations, that make trouble for Pascal’s wager, but not because one would do better to wager on them rather than on a Jealous God. Finally, I argue that, if we suppose that infinitesimal credences are in no worse standing the infinite utilities, then we cannot accept the assumption—built into the relative utilities framework—that there cannot be infinitesimal credences. (shrink)

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 standards. (...) In the second half of the paper, we argue that regulated religious beliefs can be rationally held. (shrink)

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 (...) which she might be subject. Consideration of the normativity wager will not inevitably cause the normative Pyrrhonian skeptic to lose her skepticism, but there are at least three routes by which it might: first, in considering the wager the agent may spontaneously (non-rationally) acquire a normative belief; second, considering the wager can motivate the agent to cause herself to (non-rationally) acquire a normative belief. Via either of these indirect, non-rational routes, she would cease to be a normative Pyrrhonian skeptic. Thus, consideration of the normativity wager may have value, even if it does not supply a rational argument that will dissuade skeptics. In addition, I consider the possibility of a third (rational) route by which the agent might lose her skepticism. (shrink)

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 where (...) the decision-makers are confronted with greater uncertainty. In this paper, I examine the imprecise version of Pascal’s Wager: those scenarios where an agent’s credence that God exists is imprecise or vague rather than precise. After introducing some technical background on imprecise probabilities, I apply five different principles for decision-making to two cases of state uncertainty. In the final part of the paper, I argue that it is not rationally permitted to include zero as the lower probability of God’s existence. Although the conditions for what makes an act uniquely optimal vary significantly across those principles, I also show how the option of wagering for God can defeat any mixed strategy under two distinct interpretations of salvation. (shrink)

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 (...) utilities are admissible, the wager is defeated by the "many gods" and "many wagers" objections. Moreover, these objections do not rely on mistaken "logicist" presuppositions: atheists and agnostics traditionally and typically hold that they have no more--or at any rate, hardly any more--reason to believe in the traditional Christian God than they have to believe in countless alternative deities. (shrink)

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 (...) irreducibly normative truths that contains a similar kind of epistemic circularity. This argument is a version of Pascal’s Wager which I call “Parfit’s Wager,” because it is based on a passage from Derek Parfit’s On What Matters. It states that, if we believe that there are some irreducibly normative truths, we are more likely to be believing what we ought to believe compared to not believing that there are such truths, and that this indicates that we ought rationally to believe that there are such truths, justifying the ontological commitment to irreducible normativity in the process. (shrink)

This is a short review of Thomas S. Hibbs' book: *Wagering on an Ironic God: Pascal on Faith and Philosophy*.

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. First, I (...) argue that if permissivism is true, then permissivism is true about theistic belief. Second, I show how epistemic permissivism about theistic belief dispels two objections to Pascal’s wager: the objection that wagering is impossible, and the objection that wagering is epistemically impermissible. (shrink)

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.

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 knowledge (...) is resistant to both radical skepticism, such as a Cartesian Demon, and Gettier style objections, while providing a small, but sufficient base for future epistemological research. (shrink)

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.

Suppose that an altruistic agent who is uncertain between evidential and causal decision theory finds herself in a situation where these theories give conflicting verdicts. We argue that even if she has significantly higher credence in CDT, she should nevertheless act in accordance with EDT. First, we claim that the appropriate response to normative uncertainty is to hedge one's bets. That is, if the stakes are much higher on one theory than another, and the credences you assign to each of (...) these theories are not very different, then it is appropriate to choose the option that performs best on the high-stakes theory. Second, we show that, given the assumption of altruism, the existence of correlated decision makers will increase the stakes for EDT but leave the stakes for CDT unaffected. Together these two claims imply that whenever there are sufficiently many correlated agents, the appropriate response is to act in accordance with EDT. (shrink)

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 the (...) epistemic wager with the traditional wager, and argue that the epistemic wager has several notable advantages. (shrink)

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 (...) to see that Pascal's Wager argument is a good argument. Moreover, there seems to be a certain amount of contemporary support for Rescher's claim that Pascal's Wager argument can be seen to be a good argument when properly construed .[3] However, despite this recent trend to adopt a more sympathetic stance towards Pascal's Wager argument, I propose to defend the traditional view that Pascal's Wager argument is almost entirely worthless--at least from the theological standpoint. (No doubt, it has historical significance from the standpoint of decision theory; but that's a separate matter.). (shrink)

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 of persuasion led with (...) respect to an intended reader with a particular set of initial beliefs. The text uses insights from the pragma‐dialectical approach to argumentation, especially the concept of rhetorical effectiveness of particular choices from the topical potential. The argumentation structure of Pascal’s wager is considered to be a reflection of the anticipated course of dialogue with the reader critically testing the sustainability of Pascal’s standpoint “You should believe in God”. Based on the argumentation reconstruction of three versions of the argument, Pascal’s idea of opponent/audience is identified. A rhetorical analysis of the effects of his argumentative strategy is proposed. The analysis is based on two perspectives on Pascal’s argument: it examines the strategy implemented consistently by all arguments and the strategy of a formulation of different versions of the wager. (shrink)

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 purpose (...) of this paper is to offer a defensive strategy of a different sort, one more suited to the Wager’s apologetic aim and status as a decision under ignorance. Instead of turning to criteria independent of the Wager, it will be shown that there are characteristics already built into its decision theoretic structure that can be used to block many categories of theological hypotheses including MGO’s more outrageous “cooked-up” hypotheses and “philosophers’ fictions”. -/- Please note that there are editorial errors in the published version. They have been corrected in the attached. (shrink)

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.

In the introduction to the Critique of Pure Reason (2nd edition), Kant claims that a transcendental cognition is a one ‘that is occupied not so much with objects but rather with our mode of cognition of objects insofar as is this ought to be possible a priori (a priori möglich sein soll)’. In this paper, I argue that Kant scholarship should take into account the specific signification of the term ‘sollen’, which might require us to reconsider the usual distinction between (...) the system of freedom and the system of nature. Following a Fichtean perspective, I will try to show that, even if ‘sollen’ in this context does not refer to a duty in the strict sense, it does refer to the demand that transcendental philosophy itself be possible. I will argue that this demand is contingent at its very origin and, accordingly, expresses a particular kind of ‘freedom’. On this basis I will consider the tribunal of reason enacted in the Critique of Pure Reason as a tribunal that emerges from a free decision, in which the transcendental philosopher imagines its own possibility. Because it is a ‘free’ and ‘contingent’ tribunal, it cannot exceed the status of a problematic philosophical strategy. (shrink)

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 and Hájek's philosophical worries disappear, however, if we represent our preferences using relative utilities rather than a one-place utility function. Relative utilities provide a conservative way to make sense of infinite value that preserves the familiar equation of rationality with the maximization of expected utility. They also provide a means of investigating a broader class of problems related to the Wager. (shrink)

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 (...) lose any force. (shrink)

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. Some mixed strategies (...) can evade Pascal’s Wager: a reply to Monton. Analysis 72: 295–98.) has argued that Monton is mistaken. We show that Monton is correct, highlight the crucial assumptions that he relies on, and shed some light on the role of mixed strategies in decision theory. (shrink)

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 Pascal’s 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 two problems of its own. (shrink)

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 (...) such as Pascal's Wager rationally intractable. We consider three ways the egalitarian conventionalist could make these choices tractable and show that each one comes at significant cost to the view. We end the paper by considering whether accepting arbitrariness would be a better move for the conventionalist and conclude that, even here, she runs the risk of transfiguring choices being rationally intractable. (shrink)

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.

Here I review the recent edited volume "Richard Kearney's Anatheistic Wager: Philosophy, Theology, Poetics.".

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.

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, (...) it is argued that the risks are so great that it is better to bet on government being neutral, thereby minimizing the possibility of oppression. (shrink)

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 (...) finite vs. infinite wagers, premortem vs. postmortem wagers, and doxastic vs. acceptance wagers. Then, we’ll turn to the epistemic-pragmatic distinction, and discusses the nuances of James’ argument, and how views like epistemic permissivism and epistemic consequentialism provide unique “hybrid” wagers. Finally, we’ll cover outstanding objections and responses. (shrink)

This paper outlines a formal recursive wager resolution calculus (WRC) that provides a novel conceptual framework for sentential logic via bridge rules that link wager resolution with truth values. When paired with a traditional truth-centric criterion of logical soundness WRC generates a sentential logic that is broadly truth-conditional but not truth-functional, supports the rules of proof employed in standard mathematics, and is immune to the most vexing features of their traditional implementation. WRC also supports a novel probabilistic criterion (...) of logical soundness, the fair betting probability criterion (FBP). It guarantees that the conclusion of an FBP-valid argument is at least as credible as a conjunction of premises, and also that the conclusion is true if the premises are. In addition, WRC provides a platform for a novel non-probabilistic, computationally simpler criterion of logical soundness – the criterion of Super-validity - that issues the same logical appraisals as FBP, and hence the same guarantees. (shrink)

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 (...) to bear on one of the more venerable decision problems in the literature: Pascal's Wager. Analyzing the wager showcases our theory's virtues and advantages. To that end, we analyze two objections against the wager: Mixed Strategies and Many Gods. After formulating the two objections in the framework of surreal utilities and probabilities, our theory correctly predicts that (1) the pure Pascalian strategy beats all mixed strategies, and (2) what one should do in a Pascalian decision problem depends on what one's credence function is like. Our analysis therefore suggests that although Pascal's Wager is mathematically coherent, it does not deliver what it purports to, a rationally compelling argument that people should lead a religious life regardless of how confident they are in theism and its alternatives. (shrink)

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 (...) as a rhetorical strategy, the Wager is really a Challenge, one we decline at our peril. (shrink)

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 (...) but good approximations to the truth for present purposes. Cases based on a variant of Pascal’s Wager and actions performed by a skeptic also illustrate the point. To the right-to-left direction: in certain circumstances, it can be unreasonable for a scientist to reason from propositions of a theory she knows to be true. (shrink)

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.

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 condition that (...) there are other symmetric, non-salient rewards that one may receive if one chooses otherwise. (shrink)

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.

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 (...) C. Having set up this trilemma, we study its horns. Non-transitivity has been much discussed; we focus on drawing out the costs and benefits of recklessness and timidity when it comes to axiology, decision theory, and normative uncertainty. (shrink)

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 ethics (...) of eating meat, utilitarianism (both act and rule), and the trolley problem. Additionally, there is an introductory chapter explaining what arguments are and surveying some common argumentative strategies, an appendix on logic explaining the mechanics and varieties of valid arguments, and an appendix providing detailed advice for writing philosophy papers. -/- Each of the ten core chapters offers a sustained argument for some controversial thesis, specifically written for an audience of beginners. The aim is to introduce newcomers to the dynamics of philosophical argumentation, using some of the arguments standardly covered in an introductory philosophy course, but without the additional hurdles one encounters when reading the primary sources of the arguments: challenging writing, specialized jargon, and references to unfamiliar books, philosophers, or schools of thought. (shrink)