mathematics Quotes

The continuum is that which is divisible into indivisibles that are infinitely divisible.

Those who assert that the mathematical sciences say nothing of the beautiful or the good are in error. For these sciences say and prove a great deal about them; if they do not expressly mention them, but prove attributes which... ...

... the science we are after is not about mathematicals either none of them, you see, is separable.

A line is not made up of points. ... In the same way, time is not made up parts considered as indivisible 'nows.' Part of Aristotle's reply to Zeno's paradox concerning continuity.

Something is infinite if, taking it quantity by quantity, we can always take something outside.

The mathematical sciences particularly exhibit order symmetry and limitations; and these are the greatest forms of the beautiful.

The line has magnitude in one way, the plane in two ways, and the solid in three ways, and beyond these there is no other magnitude because the three are all.

The so-called Pythagoreans, who were the first to take up mathematics, not only advanced this subject, but saturated with it, they fancied that the principles of mathematics were the principles of all things.

Equality is of two kinds, numerical and proportional; by the first I mean sameness of equality in number or size; by the second, equality of ratios.

The chief forms of beauty are order and symmetry and definiteness, which the mathematical sciences demonstrate in a special degree.