“We must say that there are as many squares as there are numbers.”

You cannot teach a person something he does not already know, you can only bring what he does know to his awareness.

The laws of nature are written by the hand of God in the language of mathematics.

Being infinitely amazed, so do I give thanks to God, Who has been pleased to make me the first observer of marvelous things, unrevealed to bygone ages.

The increase of known truths stimulates the investigation, establishment, and growth of the arts.

Where the senses fail us, reason must step in.

The vain presumption of understanding everything can have no other basis than never having understood anything.

You may force me to say what you wish; you may revile me for saying what I do. But it moves.

See now the power of truth.

In my studies of astronomy and philosophy I hold this opinion about the universe, that the Sun remains fixed in the centre of the circle of heavenly bodies, without changing its place; and the Earth, turning upon itself, moves round the Sun.

Who would dare assert that we know all there is to be known?

It is surely harmful to souls to make it a heresy to believe what is proved.

Knowing thyself, that is the greatest wisdom.

Philosophy is written in that great book which ever lies before our eyes. I mean the universe, but we cannot understand it if we do not first learn the language and grasp the symbols, in which it is written.

The nature of the human mind is such that unless it is stimulated by images of things acting upon it from without, all remembrance of them passes easily away.

We cannot teach people anything; we can only help them discover it within themselves.

Holy Scripture could never lie or err…its decrees are of absolute and inviolable truth.

Histories make men wise; poets, witty; the mathematics, subtle; natural philosophy, deep; moral, grave; logic and rhetoric, able to contend.

I took especially great pleasure in mathematics because of the certainty and the evidence of its arguments.

With me, everything turns into mathematics.

I often considered whether there could perhaps be found a more reasonable arrangement of circles.

There are things which seem incredible to most men who have not studied mathematics.

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

Don’t disturb my circles!

Mathematics reveals its secrets only to those who approach it with pure love, for its own beauty.