Pragmatic Arguments for Theism

In this paper, I examine Plantinga’s (1993, 2000, 2011) Evolutionary Argument Against Naturalism (EAAN). While there has been much discussion about Plantinga’s use of probabilities in the argument, I contend that insufficient attention has been paid to the question of how we are to interpret those probabilities. In this paper, I argue that views Plantinga defends elsewhere limit the range of interpretations available to him here. The upshot is that the EAAN is more limited in its applicability than Plantinga alleges.

Andre Willis argues that although Hume is generally credited with being a “devastating critic” of religion, it is a mistake to view Hume solely in these terms or to present him as an “atheist.” This not only represents a failure to appreciate Hume’s “middle path” between “militant atheists and evangelical theists”, it denies us an opportunity to “enhance” our understanding and appreciation of the positive, constructive value of religion through a close study of Hume’s views. Willis’s study presents Hume as (...) committed to a “bifurcated approach to religion” that rests on the fundamental distinction between “false religion” and “true religion”. False religion, which includes Christianity, is a... (shrink)

Should we make significant sacrifices to ever-so-slightly lower the chance of extremely bad outcomes, or to ever-so-slightly raise the chance of extremely good outcomes? *Fanaticism* says yes: for every bad outcome, there is a tiny chance of extreme disaster that is even worse, and for every good outcome, there is a tiny chance of an enormous good that is even better. I consider two related recent arguments for Fanaticism: Beckstead and Thomas's argument from *strange dependence on space and time*, and (...) Wilkinson's *Indology* argument. While both arguments are instructive, neither is persuasive. In fact, the general principles that underwrite the arguments (a *separability* principle in the first case, and a *reflection* principle in the second) are *inconsistent* with Fanaticism. In both cases, though, it is possible to rehabilitate arguments for Fanaticism based on restricted versions of those principles. The situation is unstable: plausible general principles tell *against* Fanaticism, but restrictions of those same principles (with strengthened auxiliary assumptions) *support* Fanaticism. All of the consistent views that emerge are very strange. (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)

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)

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)

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)

This paper explores the consequences of applying two natural ideas from epistemology to decision theory: (1) that knowledge should guide our actions, and (2) that we know a lot of non-trivial things. In particular, we explore the consequences of these ideas as they are applied to standard decision theoretic puzzles such as the St. Petersburg Paradox. In doing so, we develop a “knowledge-first” decision theory and we will see how it can help us avoid fanaticism with regard to the St. (...) Petersburg puzzle and related puzzles. The result will be a decision theory that gives a novel, but well-motivated, reason for discounting small probabilities when making decisions. We examine the merits and demerits of such a decision theory. (shrink)

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.

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)

In part one of this book I argue for the conditional claim that if Christianity has at least a 50% epistemic probability, then it is rational to commit to living a Christian life (and irrational not to). This claim is supported by a contemporary version of Pascal's wager. In part two, I then proceed to argue that Christianity does have at least a 50% epistemic probability, by advancing versions of the cosmological argument, the fine-tuning argument, and historical arguments for the (...) plausibility of the resurrection (along with a few other relevant considerations). Assessments of the problem of evil and divine hiddenness are also given. Finally, in part three, I discuss the lives of three Christians from the 20th century (Dietrich Bonhoeffer, Jean Vanier, and Immaculee Ilibagiza) in an effort to illustrate how a life of Christian commitment is not just reasonable, but worth desiring as well--satisfying both the head and the heart. (shrink)

A review of Matt Cook's book Sleight of Mind: 75 Ingenious Paradoxes in Mathematics, Physics, and Philosophy.

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.

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 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)

The Heythrop Journal, Volume 63, Issue 4, Page 691-702, July 2022.

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)

People with the kind of preferences that give rise to the St. Petersburg paradox are problematic---but not because there is anything wrong with infinite utilities. Rather, such people cannot assign the St. Petersburg gamble any value that any kind of outcome could possibly have. Their preferences also violate an infinitary generalization of Savage's Sure Thing Principle, which we call the *Countable Sure Thing Principle*, as well as an infinitary generalization of von Neumann and Morgenstern's Independence axiom, which we call *Countable (...) Independence*. In violating these principles, they display foibles like those of people who deviate from standard expected utility theory in more mundane cases: they choose dominated strategies, pay to avoid information, and reject expert advice. We precisely characterize the preference relations that satisfy Countable Independence in several equivalent ways: a structural constraint on preferences, a representation theorem, and the principle we began with, that every prospect has a value that some outcome could have. (shrink)

On some religious traditions, there are obligations to believe certain things. However, this leads to a puzzle, since many philosophers think that we cannot voluntarily control our beliefs, and, plausibly, ought implies can. How do we make sense of religious doxastic obligations? The papers in this issue present four responses to this puzzle. The first response denies that we have doxastic obligations at all; the second denies that ought implies can. The third and fourth responses maintain that we have either (...) indirect or direct control over our beliefs. This paper summarizes each response to the puzzle and argues that there are plausible ways out of this paradox. (shrink)

How do you convine someone to take the coronavirus vaccine? This essay argues that we an do so by presenting to them a reasoned argument from theology, namely, Pascal's wager.

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)

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)

Etycy nie poświęcali dotąd wiele uwagi niepewności, koncentrując się często na skrajnie wyidealizowanych hipotetycznych sytuacjach, w których zarówno kwestie empiryczne (np. stan świata, spektrum możliwych decyzji oraz ich konsekwencje, związki przyczynowe między zdarzeniami), jak i normatywne (np. treść norm, skale wartości) były jasno określone i znane podmiotowi. W poniższym artykule – który jest rezultatem projektu dotyczącego różnych typów decyzji w sytuacjach niepewności związanej z postępem w naukach i technologiach biomedycznych – przedstawię analizę sytuacji niepewności normatywnej, czyli takich, w których podmiot (...) musi podjąć decyzję, nie mając pewności co do tego, jaka norma postępowania jest właściwa, np. dlatego, że ma sprzeczne intuicje normatywne na temat dopuszczalności danej decyzji. Stanowisko, które określa się niekiedy mianem komparatywizmu, głosi, że w tego typu sytuacjach należy uwzględniać nie tylko stopnie przekonań podmiotu w kwestii różnych norm, ale także to, na ile możliwe decyzje warte są podjęcia wedle tych norm. Przedstawię tu analizę kilku przypadków niepewności normatywnej, a także charakterystyczny argument przeciwko dotychczasowym wersjom komparatywizmu, wskazujący, że nie uwzględniają one różnych nastawień do ryzyka w sytuacjach niepewności normatywnej, choć dopuszczają jednocześnie różne nastawienia do ryzyka w sytuacjach niepewności empirycznej. Pokażę też, że zasada ostrożności dotycząca statusu moralnego w upraszczający sposób przedstawia sytuacje niepewności normatywnej. (shrink)

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.

Pascal’s wager has to face the many gods objection. The wager goes wrong when it asks us to chose between Christianity and atheism, as if there are no other options. Some have argued that we’re entitled to dismiss exotic, bizarre, or subjectively unappealing religions from the scope of the wager. But they have provided no satisfying justification for such a radical wager-saving dispensation. This paper fills that dialectical gap. It argues that some agents are blameless or even praiseworthy for ignoring (...) all but one religion as they face the wager. The argument leads us to multiple Pascals: a Jewish one, a Christian one, a Muslim one, and more. (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)

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)

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

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)

In his famous Wager, Blaise Pascal offers the reader an argument that it is rational to strive to believe in God. Philosophical debates about this classic argument have continued until our own times. This volume provides a comprehensive examination of Pascal's Wager, including its theological framework, its place in the history of philosophy, and its importance to contemporary decision theory. The volume starts with a valuable primer on infinity and decision theory for students and non-specialists. A sequence of chapters then (...) examines topics including the Wager's underlying theology, its influence on later philosophical figures, and contemporary analyses of the Wager including Alan Hájek's challenge to its validity, the many gods objection, and the ethics of belief. The final five chapters explore various ways in which the Wager has inspired contemporary decision theory, including questions related to infinite utility, imprecise probabilities, and infinitesimals. (shrink)

Formal analyses of Pascal’s Wager have almost all been decision-theoretic, with a human as the sole decision-maker. This paper analyses Pascal’s Wager in a game-theoretic setting in which the deity whose existence the human is considering wagering on is also a decision-maker. There is an equilibrium in which the human chooses to wager that the deity exists and Pascal’s Wager thus operates, but also one in which the human does not wager. Thus, in a game-theoretic setting, Pascal’s Wager is indeterminate: (...) wagering and not wagering are both consistent with equilibrium behaviour. (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)

Pascal's wager is an argument in support of religious belief taking its name from the seventeenth century polymath Blaise Pascal. Unlike more traditional arguments for the existence of God, Pascal's wager is a pragmatic argument, concluding not that God exists but that one should wager for God; that is, one should live as if God exists. After an introduction to the elements of decision theory needed to understand the wager, I discuss the interpretation of Pascal's reasoning in the Infini rien (...) fragment of the Pensees, in which he presents several versions of a wager-style argument. Recent discussions of the role of the wager within Pascal's overall project of Christian apologetics are also examined. I then review contemporary formulations of, attacks on, and objections to Pascal's wager. Recent authors have pressed moral objections, epistemological objections, objections relating to infinite utilities, the many Gods objection, and objections to the expectation rule, among others. After an examination of this literature, I conclude with a brief discussion of noncanonical versions of the wager, including Jeff Jordan's Jamesian wager. (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.

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)

Nigel Warburton is not betting that God exists….

Pascal’s Wager is simply too good to be true—or better, too good to be sound. There must be something wrong with Pascal’s argument that decision-theoretic reasoning shows that one must believe in God, if one is rational. No surprise, then, that critics of the argument are easily found, or that they have attacked it on many fronts. For Pascal has given them no dearth of targets.

There are at least two versions of the famous Wager argument to be found in Pascal’s Pensées. In contemporary work on the Wager, attention is almost always focused on the second. In this paper, we take a look at the first, which is often quickly dismissed as a failure. Indeed, it seems to be generally believed that Pascal himself quickly dismissed it as a failure. We fi rst argue that Pascal himself accepted the argument. Then we argue that those who (...) accept a virtue theoretic account of human flourishing ought to agree with Pascal in accepting the argument. (shrink)

Perhaps the best known criticism of Pascal’s wager is the many Gods objection. As so often with anglophone criticisms of Pascal, the many Gods objectiontypically treats the wager in isolation from the rest of Pascal’s thought. In this case, the truncated reading has issued in the view that Pascal was indifferent toor ignorant of the possibility that Gods other than the one described by Catholic theology might exist. This view is false. Even a cursory glance beyond the wagerfragment reveals that (...) Pascal considers a number of religious and philosophical positions and argues that, given the nature and needs of the human being, onlya God of a specific description could count as God for the human being and, so, be the object of the wager. This essay sketches Pascal’s view to show that the many Gods objection is not sufficient to address his argument meaningfully. (shrink)