Template:SilverTemplate:Religion Pascal's wager is an argument based on probability theory for why one should live as if God exists, even though this cannot be proved or disproved through reason. It was formulated by Blaise Pascal.[1]
Formulation
Pascal's original formulation of the wager was written down as a fairly short paragraph in Pensées amongst several other notes that could be considered "wagers".[1] Its argument is rooted in game theory and that the best course of action is to believe in God regardless, because that option gives the biggest potential gain regardless if God is real or not. Pascal's original text is longwinded and somewhat convoluted philosophy-speak,[2] but it can be distilled more simply:
- If you believe in God and God does exist, you will be rewarded with eternal life in heaven; thus an infinite gain.
- If you do not believe in God and God does exist, you will be condemned to remain in hell forever; thus an infinite loss.
- If you believe in God and God does not exist, you will not be rewarded; thus a finite loss.
- If you do not believe in God and God does not exist, you will not be rewarded, but you have lived your own life; thus a finite gain.[3]
The gains and losses associated to outcomes 3 and 4 can be thought of as the opportunity costs of feigning belief and living in accordance with religious norms, since these are typically more restrictive than secular laws. These costs are finite because of human mortality. Mathematically, a finite gain or loss is negligible compared to an infinite gain or loss (as would be incurred during an eternal afterlife). Therefore, he concluded that it was a much better choice to believe in God rather than not. The Wager can also be seen in table form and it becomes clear that belief gives you a reward or (practically) nothing, while disbelief gives you punishment or nothing:
| God exists | God does not exist | |
|---|---|---|
| Believe in God | Infinite gain in heaven | Insignificant loss |
| Disbelieve in God | Infinite loss in hell | Insignificant gain |
Criticism
There are many problems with this statement. One, which does not constitute a logical fallacy in its own right, is the fact that there are an infinite number of hypothetical gods. If there was no possibility of more than one god's existence, the statement would make logical sense, however, there is no evidence that the Christian god is more real than any of the Hindu gods or even the Flying Spaghetti Monster. Even in the limited world-view of Christian monotheism, various individual Christian sects disagree with one another about what is necessary for salvation.
This argument against Pascal's wager is:
- If you believe in a single God, you will have to choose one out of infinite possible varieties.
- If any percent of the possible gods will punish you eternally, then there are an infinite number of hypothetical gods who, if they exist, would punish you for eternity.
- If there is only one god, then your chance of worshipping it, and not a nonexistent entity instead, is one out of infinity.
- Therefore you will almost surely fail to pick up the correct "One True God".
- So if a god does exist, the chance of you going to any variety of heaven is infinitesimal, regardless of whether you are religious or not.
The broader problem with Pascal's wager-style arguments is that it is almost impossible to perform calculations involving both infinitesimals and infinities: zero times infinity is undefined.
Assumptions
In addition, Pascal's wager also makes a number of assumptions. If any of these can be shown to either be false or undesirable, then the power of the Wager for determining one's actions and beliefs is severely weakened. These mostly stem from the theological implications of applying the Wager to belief in God, rather than the Game Theory attributes and decision making process presented.
Legitimacy of worship
The Wager assumes that God will be impressed by, and happily reward, people who worship just to avoid Hell. It's not clear why a perfect creator being would want such a thing, the constant harangues and demands for worship by the Abrahamic god nothwithstanding. An all-powerful (or very powerful) being would gain little from the mental allegiance of human beings, in the same way that as a human, persuading all the inhabitants of an anthill to worship you would be pretty pointless.
If the aim is to bring about good in the world, why would a god not promise to reward everyone who does good, regardless of whether they worship it or not? What about someone who gives away their money to the poor while loudly condeming priests? There's at least a theoretical conflict between devoting all your energy to praising and worshipping god and doing good things for other people on earth, raising the question of what exactly a god would want from us anyway - actual love and obedience, or obedience out of fear?
The satirical fantasy writer Terry Pratchett had a version of Pascal's Wager in his book titled Small Gods: "Upon his death, the philosopher in question found himself surrounded by a group of angry gods with clubs. The last thing he heard was 'We're going to show you how we deal with Mister Clever Dick around here...'"
Infinite utility
The wager assumes that going to hell will be infinitely miserable, while going to heaven would be infinitely pleasurable. Similarly, the wager also assumes that believing in a particular god is costless to the believer.
In some traditional views of heaven and hell, this reward lasts over an infinite time, thus it can be realized by a finite, even small, reward per unit of time. The present value of an infinite reward can be very small: Consider the present value of a "million dollar" lottery which pays a dollar a year for a million years; Now consider the present value of an "infinite dollar" lottery which pays one cent a year for infinity. Even if you live forever, you don't gain a lot.
Ability to "believe"
The wager assumes that a human being has the ability to believe something by an act of will: not just to say one believes it but to actually, sincerely, believe it to be true. This is known as doxastic voluntarism; it is probable that most people lack the ability to do this deliberately.
Consider how you would respond if someone told you to believe that the earth rested upon the back of a giant turtle. Even if you were inclined to, it is doubtful whether you really could genuinely believe it.
Judeo-Christian bias
Another common critique is that the wager only deals with the traditional Judeo-Christian image of a god who rewards his followers. One could imagine that the truth is in fact a perverse god who would damn his supporters and reward unbelievers simply for the sake of irony,[4] or the Maltheistic idea that "gods" are spiritual entities who eat their worshippers' souls after their deaths.[5]
Also, the wager only allows for one true god. Should there be more than one (such as in the Greek and Roman mythologies), a follower of Pascal may offend a powerful god by only worshipping a weaker one, leading to his damnation despite his worship.
The Christian afterlife is possible
Some people consider parts of this scenario to be logically contradictory or incompatible with reality, which leads them to assign a probability of zero to the "Christian hell" outcome.
This may be because they believe that the Christian god is impossible or defined in a contradictory way, because they do not believe such a beneficent god could send anyone to hell, or because they believe that hell itself is impossible. This last argument may be based on the belief that pain requires a physical body, or on an argument that the limited human mind is incapable of suffering eternal torture. If you were tortured for ten times as long as you've been alive, would you be "you" anymore? How about after a million years? A trillion? At some point, whether 10 or 1010 years from now, one would expect that your mind would either break or "get used to it", probably both. Either possibility precludes the experience of infinite regret and suffering.
Unfortunately, a similar argument can be made regarding heaven. An eternal high seems impossible for a limited creature, so going to heaven would only be possible if one transformed into something not only different, but even unrecognizable to one's earthly self; in which case, what's being punished/rewarded isn't meaningfully "you" at all.
Ulterior reason for blind faith
The wager assumes that there is a self-evident reason for rewarding blind faith. Why is the faith of a believer better than the personal courage of the disbeliever that leads an outstanding life? Why does a deity prefer blind faith over evidence based submission?
The real argument goes in the opposite direction: God exists (I assume) and I cannot see him, therefore he has to have a reason not to show himself. Therefore, there has to be something for me if I play along.
Reversing the wager
One way to counter the wager is to replace Pascal's Judeo-Christian God with a hypothetical god that eternally punishes those whose lives are governed by irrational beliefs. This action effectively flips the four paradigms of the wager on their heads. To avoid confusion, the hypothetical deity will be referred to here as Ral:
- If you believe in God and Ral does exist, you will be condemned to remain in hell forever; thus an infinite loss.
- If you do not believe in God and Ral does exist, you will be rewarded with eternal life in heaven; thus an infinite gain.
- If you believe in God and Ral does not exist, you will not be rewarded; thus a finite loss.
- If you do not believe in God and Ral does not exist, you will not be rewarded, but you have lived your own life; thus a finite gain.
This theoretical belief system, which is just as empirically provable as the belief system underlying Pascal's wager, presents a win/win scenario for atheists and a lose/lose scenario for those who believe in God. Since the two contrasting ideas of a specific god are logically equivalent in likelihood, atheism is shown to have the greatest potential for gain, completely negating and effectively reversing Pascal's argument.
Further reversal
This reversal works best for those who want to confuse more than disprove, but it's fairly valid.
- If god exists and god is benevolent and you are a good person who disbelieves, you will be fine
- If god exists and god is benevolent and you are a hypocrite who claims to believe but does not you may not be fine
- If god exists and god is malevolent and you are a good person who disbelieves, you may not be fine
- If god exists and god is malevolent and you are a hypocrite who claims to believe but does not you will likely be greatly punished
- If god does not exist and you are a good person who disbelieves then you have a net gain (You help yourself instead of waiting for god to help you)
- If god does not exist and you are a hypocrite who claims to believe but does not you have a net loss (Untruthfulness to self)
True believer is left out, because you're arguing from the viewpoint that belief is something that takes place deep down inside, and is not a facade, and that you simply lack it.
Applications outside theology
While Pascal's Wager is a theologically flawed argument, the principle has applications in other aspects of life, such as investment and betting. It is a way of dealing with uncertainty by assessing the magnitude of potential gains against losses. In the Wager, believing in God produces the larger gain whereas not believing produces the greater loses. This principle of comparing potential gains and loses is a way of ensuring against black swan like events ("fragility" and "anti-fragility" according to Black Swan author Nassim Taleb). For example, placing 100% of your funds into a single investment leads to a possible loss - regardless of the odds, which may be unknowable - of 100% of your funds. Such an event would be a greater loss than if you spread your funds over many investments where a single failure (again, regardless of odds) is not devastating but your chances of success are slightly increased. The same thinking lies behind solutions to the prisoner's dilemma. Viewing unknown events through the eyes of Pascal's Wager eliminates the need to understand the probabilities behind events because decisions can be made by maximizing potential benefits and minimizing the harms. Indeed, this is the very point of the Wager if it is stripped of its theological implications.
See also
- The global warming wager
- Agnostic Atheism Wager
- Russell's Teapot
- Cryonics - they're very fond of Pascal's wager
External links
- Pascal's Pensées. The Wager is found in Pensée 233.
- Vatican announces results of Pascal’s Wager
- Pascal's Wager at the Stanford Encyclopedia of Philosphy
- Pascal's wager, a refutation