..This is why the ultimate reason of things must lie in a necessary substance, in which the differentiation of the changes only exists eminently as in their source; and this is what we call God.

It is worth noting that the notation facilitates discovery. This, in a most wonderful way, reduces the mind's labour.

There is nothing waste, nothing sterile, nothing dead in the universe; no chaos, no confusions, save in appearance.

There is nothing without reason.

When a truth is necessary, the reason for it can be found by analysis, that is, by resolving it into simpler ideas and truths until the primary ones are reached. It is this way that in mathematics speculative theorems and practical canons are reduced by analysis to definitions, axioms and postulates.

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

What is is what must be.