Pascal’s wager, practical argument for belief in God formulated by French mathematician and philosopher Blaise Pascal. In his Pensées (1657–58, see the original text here), Pascal applied elements of game theory to show that belief in the Christian religion is rational. He argued that people can choose to believe in God or can choose to not believe in God, and that God either exists or he does not. Under these conditions, if a person believes in the Christian God and this God actually exists, they gain infinite happiness; if a person does not believe in the Christian God and God exists, they receive infinite suffering. On the other hand, if a person believes in the Christian God and God does not exist, then they receive some finite disadvantages from a life of Christian living; and if a person does not believe in this God and God does not exist, then they receive some finite pleasure from a life lived unhindered by Christian morality. As Pascal states, “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.”
American philosopher William James objected to the argument that it supported belief in any religion that promised an eternal afterlife. Others have objected that though the argument does give one a reason for believing in the Christian God, it does not make that belief “rational” in the proper sense.