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PASCAL'S WAGER · BITE · 2 MIN · BEGINNER

Pascal's Wager Was a Decision Theory Argument

Pascal never argued God was likely. He argued the math made belief the only rational bet.

Sometime in the 1650s, the mathematician Blaise Pascal scribbled a now-famous argument into the loose notes that became his Pensées. He had spent the past few years co-inventing probability theory with Pierre de Fermat to settle a gambling problem. He turned the same machinery on the question of whether to believe in God.

The move was not theological. It was a payoff matrix. If you believe and God exists, you gain infinite reward. If you believe and God doesn't exist, you lose a finite amount — some pleasures, some time. If you don't believe and God exists, the loss is infinite. If God doesn't exist either way, the disbelief gains you the same finite something.

Multiply any non-zero probability of God's existence by infinity and the expected value of belief swamps everything else. That is Pascal's actual claim. He never argues God is likely. He argues the asymmetry of payoffs makes the probability irrelevant.

Philosophers have been picking at it for three and a half centuries. The sharpest objection is the many-gods problem: which god are you betting on? Pick wrong and an angry rival deity sends you to its own infinite hell. The infinities cancel and you're back where you started.

What Pascal did invent, almost as a side effect, was the modern shape of decision theory under uncertainty — the idea that you reason about probabilities and payoffs together. Economists and AI researchers still use his framing. They just stopped talking about God.

#pascal-s-wager#philosophy#quick-explainer#decision-theory#probability
Sources
WikipediaStanford Encyclopedia of Philosophy