The weight of evidence for an extraordinary claim must be proportioned to its strangeness.

Such is the advantage of a well constructed language that its simplified notation often becomes the source of profound theories.

Nature laughs at the difficulties of integration.

What we know is not much. What we don't know is enormous.

The simplicity of the law by which the celestial bodies move, and the relations of their masses and distances, permit analysis to follow their motions up to a certain point; and in order to determine the state of the system of these great bodies in past or future centuries, it suffices for the mathematician that their position and their velocity be given by observation for any moment in time.

Your Highness, I have no need of this hypothesis.

If an event can be produced by a number n of different causes, the probabilities of the existence of these causes, given the event (prises de l'événement), are to each other as the probabilities of the event, given the causes: and the probability of each cause is equal to the probability of the event, given that cause, divided by the sum of all the probabilities of the event, given each of the causes.