But in my opinion, all things in nature occur mathematically.

How do we know that anything really exists, that anything is really the way it seems ot us through our senses?

Each problem that I solved became a rule, which served afterwards to solve other problems.

... regard this body as a machine which, having been made by the hand of God, is incomparably better ordered than any machine that can be devised by man, and contains in itself movements more wonderful than those in any machine. ... it is for all practical purposes impossible for a machine to have enough organs to make it act in all the contingencies of life in the way in which our reason makes us act.

When I consider this carefully, I find not a single property which with certainty separates the waking state from the dream. How can you be certain that your whole life is not a dream?

Nothing is more fairly distributed than common sense: no one thinks he needs more of it than he already has.

I am thing that thinks: that is, a things that doubts,affirms, denies, understands a few things, is ignorant of many things, is willing, is unwilling, and also which imagines and has sensory perceptions.