mathematics Quotes

In American math classes, we teach a lot of concepts poorly over many years. In the Asian systems they teach you very few concepts very well over a few years.

In terms of mathematics textbooks, why can't you have the scale of a national market? Right now, we have a Texas textbook that's different from a California textbook that's different from a Massachusetts textbook. That's very expensive.

The obvious mathematical breakthrough would be development of an easy way to factor large prime numbers.

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.