Discernable from all else, different from all other things
Present and apparent, unique set of characteristics
Discernable from all else, it contained within itself nothing but what is clear
Present and apparent, precise and different from all other objects
That we ought to withhold assent from anything uncertain, just as much as from what we see clearly to be false.
That only through knowledge of a benevolent and omnipotent God can we have any certainty of external things.
That definition by genus and difference is insufficient for answering the question, What am I?
That, eventually, all things come back to faith.
He couldn’t come to an understanding of the world through the study of philosophy, as every point that is made therein is disputed and therefore doubtful.
Mathematics can be used as a key to understanding nature, as everything in the world could be geometrically represented and therefore could be analyzed mathematically.
In order to more fully understand the world he would have to abandon the study of letters.
Real knowledge could only be found within himself, and not in the writings of the ancients.
Split problems into smaller parts, so to be able to resolve them easier
Never accept anything as true without clear and distinct evidence
All truth can be simplified by using mathematics to analyze and model it
Thinking in an orderly manner about simplest subjects first, then on to more complex
That God is not a deceiver
That God gives us the inclinations to believe in the reality of material (extended) things that we seem to sense.
That our souls are distinct from our body.
That material things exist with the properties that we conceive to be essential to them.
Our ideas and perception are all that exists around us.
We only perceive our understanding of what something is.
Objects can only take the form of ideas, without us they are simply matter.
If you can’t see it, it doesn’t exist.