. . . we have overcome the notion that mathematical truths have an existence independent and apart from our own minds. It is even strange to us that ….

Mathematics is the science which uses easy words for hard ideas..

Puzzles are made of the things that the mathematician, no less than the child, plays with, and dreams and wonders about, for they are made of things ….

When the mathematician says that such and such a proposition is true of one thing, it may be interesting, and it is surely safe. But when he tries to….

Perhaps the greatest paradox of all is that there are paradoxes in mathematics..

There is a famous formula, perhaps the most compact and famous of all formulas - developed by Euler from a discovery of de Moivre: e^(i pi) + 1 = 0..….

The testament of science is so continually in a flux that the heresy of yesterday is the gospel of today and the fundamentalism of tomorrow..

Mathematics is an activity governed by the same rules imposed upon the symphonies of Beethoven, the paintings of DaVinci, and the poetry of Homer..

Mathematics is often erroneously referred to as the science of common sense. Actually, it may transcend common sense and go beyond either imagination….

The infinite in mathematics is always unruly unless it is properly treated..

Mathematics is man's own handiwork, subject only to the limitations imposed by the laws of thought..