Pragmatic Arguments for Theism

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)

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)

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)

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)

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….

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)

The standard version of Pascal’s Wager suffers from serious problems. In this paper I present a modified version of a Wager-style argument that avoids several of the most serious objections to the standard version, viz., the objections of Duff and Hájek relating to infinite utilities, moral objections concerning the use of pragmatic considerations, and the many-gods objection. I argue that a serious commitment to living a Christian life is rational if one is rational in assigning a credence to Christianity of (...) at least one-half. The upshot is that considerations of practical rationality dramatically lower the bar for natural theology. (shrink)

Pascal, with his famous wager, argued in favour of religious practice and faith by appeal to expected payoffs. Here I discuss an asymmetry in similar pragmatic arguments for decisions about God. I begin with the observation that apostates pay costs not shared by those who never adopt a religion in the first place. Noticing this asymmetry shows these arguments from a new perspective and may also contribute to an explanation of the endurance of religion.

If knowledge is sensitive to practical stakes, then whether one knows depends in part on the practical costs of being wrong. When considering religious belief, the practical costs of being wrong about theism may differ dramatically between the theist (if there is no God) and the atheist (if there is a God). This paper explores the prospects, on pragmatic encroachment, for knowledge of theism (even if true) and of atheism (even if true), given two types of practical costs: namely, by (...) holding a false belief, or by missing out on a true belief. These considerations set up a more general puzzle of epistemic preference when faced with the choice between two beliefs, only one of which could become knowledge. (shrink)

Pragmatic arguments seek to justify the performance of an action by appealing to the benefits that may follow from that action. Pascal’s wager, for instance, argues that one should inculcate belief in God because there is everything to gain and little to lose by doing do. In this chapter I critically examine Pascal’s wager and William James’s famous “Will-to-Believe” argument by first explaining the logic of each argument and then by surveying the objections commonly arrayed against them. Finally, I suggest (...) that among the various versions of the wager found in Pascal’s Pensées is a neglected version that anticipates the Jamesian argument and that avoids the many-gods objection. (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)

Pascal’s wager was sometimes viewed in the eighteenth-century as an argument conquering its whole demonstrative force not in the Pensées but in a passage of Locke’s Essay Concerning the Human Understanding (II, XXI, § 70) dealing with the preference to be given to a virtuous life when considering the possibility of another eternal life. In this paper, I intend to show that this interpretation is ill-founded. The argument of the wager highlights the discrepancy between the requirements of alethic reason on (...) the one side and of practical reason on the other side: the wager is to be seen not as a proposition, but as an act. When emphasizing the conditions on which this act can conform to rationality, the argument used of in the Pensées puts the comparison between a unity (my life ante mortem) and a multiplicity (other possible lives post mortem) on the front of the stage, in combination with a reckoning of the chances of winning or losing the bet on God’s existence. The reduction ad absurdum of the act of betting against God’s existence is deduced from a double infinitization, not only quantitative (an infinity of lives), but also qualitative (a reiterating infinity of happiness) of the second member in the comparison. Now, the case is different in Locke’s argumentation. Its reading is vitiated if we deem that the § 70 in the Essay II, XXI consists in a self-sufficient demonstration, understandable by itself. Through a close examination of the chapter XXI in its entire, it appears on the contrary that the thesis of an alleged improvement or even of a mere equivalent of Pascal’s wager in the Essay is defeated by the necessity to put back Locke’s own argument in its true place, actually as the result of a complex enquiry on the principle of the determination of the will. (shrink)

William James presents Pascal's wager in this manner: if you believe in God and God exists, then your gain is infinite; if you believe in God and God doesn't exist, then your loss is finite. Therefore, since a finite loss is reasonable where there is the possibility of infinite gain, you ought to believe in God. ‘What have you to lose?’ James asks . 1.

Pascal's Wager, and the issues raised by it, have, despite a few notable exceptions, been an object of some neglect in recent Philosophy of Religion. Whether this neglect is from an assumption that the argument requires no comment, or from a feeling that there is something not quite academically respectable about it, I have come to believe that it is undeserved. One reason why the argument is deserving of attention from the theologian is that Pascal has managed to put his (...) finger on just the sort of consideration which, rightly or wrongly, is capable of exercising a powerful influence over the ordinary mind – the sort of problem which, in short, keeps people awake at nights. A reason why it should be of interest to the philosopher is that it possesses that characteristically philosophical quality of appearing obviously invalid in some lights, and in others manages to slip past every supposed disproof, and annoy us with the suspicion that it may, after all, be valid. These reasons alone are sufficient to justify the philosopher of religion in attempting a careful analysis of Pascal's case in the light of which its cogency can be assessed. In this paper, I shall attempt such an analysis, and shall proceed to argue that, correctly understood and within its proper limitations, Pascal's argument is indeed valid. (shrink)

In his famous Wager, Blaise Pascal attempted to adduce prudential grounds on which to base a belief in God. His argument founders, however, on the notorious 'Many Gods Problem', the problem of selecting among the many equiprobable gods on offer. Lycan and Schlesinger try to treat the Many Gods Problem as a problem of empirical over-determination, attempting to overcome it using methodologies familiar from empirical science. I argue that their strategy fails, but that the Many Gods Problem can be solved (...) (or dissolved) nevertheless. The solution I offer both avoids the problem faced by Lycan and Schlesinger, and does so while respecting the original Pascalian intuitions to a greater extent than any solutions thus far proffered. (shrink)

Pascal's wager attempts to provide a prudential reason in support of the rationality of believing that God exists. The wager employs the idea that the utility of theistic belief, if true, is infinite, and in this way, the expected utility of theism swamps that of any of its rivals. Not surprisingly the wager generates more than a good share of philosophical criticism. In this essay I examine two recent objections levelled against the wager and I argue that each fails. Following (...) this, I argue that a transfinite version of the wager -- one using the idea of an infinite utility -- is incompatible with standard axiomatic constructions of decision-theory and, as a consequence, the Pascalian would be well-advised to give up the idea of an infinite utility and employ only a finite version of the wager. The consequences of limiting the wager to finite utilities are also explored. (shrink)

Pascal's Wager is finding ever more defenders who aim to undermine the old Many Gods Objection. It is my thesis that they are mistaken. After describing the Wager and the objection, I report on Jeff Jordan's repeated attempt to limit legitimate religious hypotheses to those that are traditional. In separate sections I criticize Jordan, first coming from epistemology and second from anthropology. Then I describe George Schlesinger's repeated appeal to the ‘simplest’ religious hypothesis, and argue that it fails for similar (...) reasons. Finally, I summarize and reject miscellaneous defences of Pascal by Robert Anderson, Bradley Armour-Garb, James Franklin, Joshua Golding, and Nicholas Rescher. (shrink)

In this book, Graham Oppy examines arguments for and against the existence of God. He shows that none of these arguments is powerful enough to change the minds of reasonable participants in debates on the question of the existence of God. His conclusion is supported by detailed analyses of the arguments as well as by the development of a theory about the purpose of arguments and the criteria that should be used in judging whether or not arguments are successful. Oppy (...) discusses the work of a wide array of philosophers, including Anselm, Aquinas, Descartes, Locke, Leibniz, Kant, Hume and, more recently, Plantinga, Dembski, White, Dawkins, Bergman, Gale and Pruss. (shrink)

Gdzieś w ciemnej uliczce... Bandyta: Ej ty, dawaj portfel! Pascal: A niby dlaczego miałbym to zrobić? Bandyta: Bo w przeciwnym razie cię zastrzelę. Pascal: Ale przecież nie masz broni. Bandyta: A niech to! Wiedziałem, że zapomniałem o czymś. Pascal: No to zapomnij też o moim portfelu. Miłego wieczoru. Bandyta: Stój! Pascal: Co znowu? Bandyta: Jest interes do zrobienia... Co ty na to, żebyś jednak oddał mi portfel? W zamian obiecuję przyjść do ciebie jutro i dać ci dwukrotność kwoty, którą w (...) nim masz. Nieźle, co? 200 procent zwrotu z inwestycji w 24 godziny. (shrink)

This paper defends a principle I call Equal Treatment, according to which the rationality of a belief is determined in precisely the same way as the rationality of any other state. For example, if wearing a raincoat is rational just in case doing so maximizes expected value, then believing some proposition P is rational just in case doing so maximizes expected value. This contrasts with the popular view that the rationality of belief is determined by evidential support. It also contrasts (...) with the common idea that in the case of belief, there are two different incommensurable senses of rationality, one of which is distinctively epistemic. I present considerations that favor Equal Treatment over these two alternatives, reply to objections, and criticize some arguments for Evidentialism. I also show how Equal Treatment opens the door to a distinctive kind of response to skepticism. (shrink)

Debates about the moral permissibility of mass electronic surveillance often turn on whether consequentialist considerations legitimately trump relevant deontological rights and principles. In order to establish such overriding consequences, many proponents of mass surveillance employ a modern analogue of Pascal’s wager: they contend that the consequences of no surveillance are so severe that any probability of such outcomes legitimates the abrogation of the relevant rights. In this paper, I briefly review Pascal’s original wager about whether to live a pious life, (...) including two classes of objections that were almost immediately leveled against his argument. I then show that analogues of those objections apply straightforwardly to the modern versions of Pascal’s wager. Mass electronic surveillance might be ethically permissible or even obligatory in some circumstances, but the details matter in ways that are systematically ignored or assumed away in a Pascal’s wager-type argument. Careful consideration of the complexities of our modern situation is required to decide whether consequentialist considerations override deontological principles in this domain. (shrink)

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 (...) is, many Theists think that various good outcomes would arise if Theism is true. We then discuss work in cognitive science concerning human cognitive bias, before discussing two noteworthy attempts to show that at least some religious beliefs arise because of cognitive bias: Hume’s, and Draper’s and Nichols’s. We then argue that, as a result of certain cognitive biases that result when good outcomes might be at stake, Pro-Theism causes many Theists to inflate the epistemic probability that God exists, and as a result, Theists should lower the probability they assign to God’s existence. Finally, based our arguments, we develop a novel objection to Pascal’s wager. (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)

Not all of our reasons for belief are epistemic in nature. Some of our reasons for belief are prudential in the sense that believing a certain thing advances our personal goals. When it comes to belief in God, the most famous formulation of a prudential reason for belief is Pascal’s Wager. And although Pascal’s Wager fails, its failure is instructive. Pascal’s Wager fails because it relies on unjustified assumptions about what happens in the afterlife to those who believe in God (...) verses those who do not. A renewed wager can avoid this difficulty by relying solely on well-documented differences between those who believe in God verses those who do not. Social scientists have put together an impressive set of data that shows that theists do better in terms of happiness, health, longevity, inter- personal relationships, and charitable giving. Hence, most people have a strong reason to believe in God regardless of the evidence. (shrink)

In this dissertation I argue that Pascal's reasons for rejecting the enterprise of natural theology are inadequate to negate the discipline's possible value for Christian theism. ;I begin by explaining the nature, function, and scope of natural theology or the attempt to argue for God's existence apart from revelation. ;Pascal argues that the Bible itself precludes the activity of natural theology. I dispute this claim by giving reasons why the omission of natural in the Bible does not mean that the (...) enterprise itself is illegitimate. ;Although Pascal argues that the very nature of God as an infinite being renders a positive proof of his existence impossible because of the opacity of the infinite, I argue that Pascal misconstrues the nature of divine infinity and that when properly understood the notion of divine infinity does not rule out natural theology a priori. ;According to Pascal, the kind of reasoning used in theistic proofs is inappropriate for religious believers because it is "too remote from human reasoning" to move one to real religious devotion. I claim that even complex proofs for God's existence, if successful, could engender a kind of religious devotion. ;Pascal finds the God derived through natural theology--the "God of the philosophers"--to be too abstract and religiously unsatisfying to be equated with the biblical "God of Abraham, Isaac, and Jacob." On the contrary, I affirm that the divine predicates derived from natural theology have a significant overlap with the description of God in the Scriptures. ;Against Pascal's idea that a successful natural theology engenders a kind of pride in its practitioners that is incompatible with the Christian claim, I argue that philosophical proofs may but need not engender such pride. ;Finally, I take up the matter of the cogency of one version of the cosmological argument in relation to the defense of Christian theism. (shrink)

This paper concerns two objections to Pascal's wager. The first claims that Pascal's recommendation to habituate oneself to believe in God is tantamount to religious brainwashing. I argue that this construal misses important aspects of what Pascal had in mind, which may render the habituation process a legitimate means to acquire new understanding. The second objection is based on the idea that a key assumption of the wager – that theistic belief is required for eternal felicity – is morally absurd. (...) I argue that theistic belief, as Pascal understands it, is a necessary aspect for spiritual restoration, not merely an isolated belief in an imperious deity. (shrink)