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The greatest penalty of evil-doing is to grow into the likeness of a bad man.

Arithmetic is a kind of knowledge in which the best natures should be trained, and which must not be given up.

Those who have a natural talent for calculation are generally quick-witted at every other kind of knowledge; and even the dull, if they have had an arithmetical training, although they may derive no other advantage from it, always become much quicker than they would have been.

I can show you that the art of calculation has to do with odd and even numbers in their numerical relations to themselves and to each other.

No intelligent man will ever be so bold as to put into language those things which his reason has contemplated.

So their combinations with themselves and with each other give rise to endless complexities, which anyone who is to give a likely account of reality must survey.

There still remain three studies suitable for free man. Arithmetic is one of them.

The Earth is like one of those balls made of twelve pieces of skin.

A wise man speaks because he has something to say; a fool because he has to say something.

I have hardly ever known a mathematician who was capable of reasoning.

Arithmetic has a very great and elevating effect, compelling the soul to reason about abstract number, and rebelling against the introduction of visible or tngible objects into the argument.

He is unworthy of the name of man who is ignorant of the fact that the diagonal of a square is incommensurable with its side.

The knowledge of which geometry aims is the knowledge of the eternal.

Mathematics is like draughts in being suitable for the young, not too difficult, amusing, and without peril to the state.

The ludicrous state of solid geometry made me pass over this branch.

Let no one ignorant of Mathematics enter here.

He who can properly define and divide is to be considered a god.

When men speak ill of thee, live so that nobody will believe them.

Better to be unborn than untaught, for ignorance is the root of all misfortune.

Atheism is a disease of the soul before it becomes an error of understanding.

Those who are too smart to engage in politics are punished by being governed by those who are dumber.

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