Pascal's wager is a philosophical argument advanced by Blaise Pascal (1623–1662), a notable seventeenth-century French mathematician, philosopher, physicist, and theologian. This argument posits that individuals essentially engage in a life-defining gamble regarding the belief in the existence of God.

Pascal contends that a rational person should adopt a lifestyle consistent with the existence of God and actively strive to believe in God. The reasoning behind this stance lies in the potential outcomes: if God does not exist, the individual incurs only finite losses, potentially sacrificing certain pleasures and luxuries. However, if God does indeed exist, they stand to gain immeasurably, as represented for example by an eternity in Heaven in Abrahamic tradition, while simultaneously avoiding boundless losses associated with an eternity in Hell.

Pascal's wager

The original articulation of this wager can be found in Pascal's posthumously published work titled Pensées ("Thoughts"), which comprises a compilation of previously unpublished notes. Notably, Pascal's wager is significant as it marks the initial formal application of decision theory, existentialism, pragmatism, and voluntarism.

Pascal's wager

Critics of the wager question the ability to provide definitive proof of God's existence. The argument from inconsistent revelations highlights the presence of various belief systems, each claiming exclusive access to divine truths. Additionally, the argument from inauthentic belief raises concerns about the genuineness of faith in God if solely motivated by potential benefits and losses.

Pascal's wager

Despite these critiques, Pascal's wager remains a subject of contemplation, sparking ongoing discussions about belief, rationality, and the complexities surrounding the existence of a higher power.

The wager

The wager uses the following logic (excerpts from Pensées, part III, §233):

God is, or God is not. Reason cannot decide between the two alternatives

A Game is being played... where heads or tails will turn up

You must wager (it is not optional) Let us weigh the gain and the loss in wagering that God is. Let us estimate these two chances. If you gain, you gain all; if you lose, you lose nothing Wager, then, without hesitation that He is. (...) There is here an infinity of an infinitely happy life to gain, a chance of gain against a finite number of chances of loss, and what you stake is finite. And so our proposition is of infinite force when there is the finite to stake in a game where there are equal risks of gain and of loss, and the infinite to gain. But some cannot believe. They should then 'at least learn your inability to believe...' and 'Endeavour then to convince' themselves.

Pascal asks the reader to analyze humankind's position, where our actions can be enormously consequential, but our understanding of those consequences is flawed. While we can discern a great deal through reason, we are ultimately forced to gamble. Pascal cites a number of distinct areas of uncertainty in human life:

Pascal describes humanity as a finite being trapped within divine incomprehensibility, briefly thrust into being from non-being, with no explanation of "Why?" or "What?" or "How?" On Pascal's view, human finitude constrains our ability to achieve truth reliably.

Given that reason alone cannot determine whether God exists, Pascal concludes that this question functions as a coin toss. However, even if we do not know the outcome of this coin toss, we must base our actions on some expectation about the consequence. We must decide whether to live as though God exists, or whether to live as though God does not exist, even though we may be mistaken in either case.

In Pascal's assessment, participation in this wager is not optional. Merely by existing in a state of uncertainty, we are forced to choose between the available courses of action for practical purposes.

Pascal's description of the wager

The Pensées passage on Pascal's wager is as follows:

Pascal begins by painting a situation where both the existence and non-existence of God are impossible to prove by human reason. So, supposing that reason cannot determine the truth between the two options, one must "wager" by weighing the possible consequences. Pascal's assumption is that, when it comes to making the decision, no one can refuse to participate; withholding assent is impossible because we are already "embarked", effectively living out the choice.