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

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

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.

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

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

. . . 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 such a notion could ever have existed.

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