In creating the world, God used arithmetic, geometry, and likewise astronomy.

The intellect alone has an eye for viewing an essence, which it cannot see except in the true Cause, which is the Fount of all desire. Moreover, since all things seek to exist, then in all things there is desire from the Fount-of-desire, wherein being and desire coincide in the Same.

All things are in the intended endpoint, and this mode of being is called will or desire.

There will be a machina mundi whose centre, so to speak, is everywhere, whose circumference is nowhere, for God is its circumference and centre and He is everywhere and nowhere.

For our intellectual spirit has the power of fire in itself. For no other purpose is it sent by God to the earth than that it glow and grow into a flame. When it is excited by admiration, then it grows, just as if the wind entering into a fire excited its potential to actuality. If we apprehend the works of God, we marvel at eternal wisdom.

Nor is the darkness of colour a proof of the earth's baseness; for the brightness of the sun, which is visible to us, would not be perceived by anyone who might be in the sun.

In every science certain things must be accepted as first principles if the subject matter is to be understood; and these first postulates rest upon faith.