We should like Nature to go no further; we should like it to be finite, like our mind; but this is to ignore the greatness and majesty of the Author of things.

Music is a secret and unconscious mathematical problem of the soul.

There is a world of created beings - living things, animals, entelechies, and souls - in the least part of matter.... Thus there is nothing waste, nothing sterile, nothing dead in the universe; no chaos, no confusions, save in appearance.

Our reasonings are grounded upon two great principles, that of contradiction, in virtue of which we judge false that which involves a contradiction, and true that which is opposed or contradictory to the false.

I hold that it is only when we can prove everything we assert that we understand perfectly the thing under consideration.

It is a good thing to proceed in order and to establish propositions. This is the way to gain ground and to progress with certainty.

What is is what must be.