A Quote by Georg Cantor

In mathematics the art of proposing a question must be held of higher value than solving it.

Georg Cantor

Quote Topics

Art Held Higher Mathematics Must Question Solving Than Value

Quote Author

Georg Cantor
German - Mathematician
March 3, 1845 - January 6, 1918

In mathematics, the art of asking questions is more valuable than solving problems.

Georg Cantor

The first and foremost duty of the high school in teaching mathematics is to emphasize methodical work in problem solving...The teacher who wishes to serve equally all his students, future users and nonusers of mathematics, should teach problem solving so that it is about one-third mathematics and two-thirds common sense.

George Polya

I wonder whether art has a higher function than to make me feel, appreciate, and enjoy natural objects for their art value?

Bernard Berenson

I just think, obviously as players, we're held to a higher standard. I've had to watch myself on that, but I think if we're held to higher standards, the owners should be held to even higher standards.

Matt Barnes

The more I study the things of the mind the more mathematical I find them. In them as in mathematics it is a question of quantities; they must be treated with precision. I have never had more satisfaction than in proving this in the realms of art, politics and history.

Hippolyte Taine

When you start putting a higher value on works of art than people, you’re forfeiting your humanity.

Woody Allen

Whenever the dollar is held supreme and capitalistic interests dominate, a higher value will always be placed upon property rights than upon human rights.

Dick Gregory

One cannot inquire into the foundations and nature of mathematics without delving into the question of the operations by which the mathematical activity of the mind is conducted. If one failed to take that into account, then one would be left studying only the language in which mathematics is represented rather than the essence of mathematics.

L. E. J. Brouwer

Art is a severe business; most serious when employed in grand and sacred objects. The artist stands higher than art, higher than the object. He uses art for his purposes, and deals with the object after his own fashion.

Johann Wolfgang von Goethe

The art is more important than the artist. The work is more important than the person who does it. You must be prepared to sacrifice all the you could possibly have, be, or do; you must be willing to go all the way for your art. If it is a question between choosing between your life and a work of art -- any work of art -- your decision is made for you.

Lloyd Alexander

That's how you write novels actually. You suddenly hit upon something and you realize this is the path you were meant to take. You'd be a fool if you didn't follow it. Perhaps it's like solving a difficult question in pure mathematics. There must be a moment when the solution is so simple and evident that you wonder why you hadn't come upon it before. When you do come upon it, you know it in the deepest part of your being. It carries its own logic.

Don DeLillo

In fact, the answer to the question "What is mathematics?" has changed several times during the course of history... It was only in the last twenty years or so that a definition of mathematics emerged on which most mathematicians agree: mathematics is the science of patterns.

Keith Devlin

If you had to pick the values that would be held dear to a broad number of Hispanic voters, access to opportunity would be a higher value than guarantee of security, particularly amongst the newly arrived, meaning the last 20 years.

Jeb Bush

Higher than the question of our duration is the question of our deserving. Immortality will come to such as are fit for it, and he would be a great soul in future must be a great soul now.

Ralph Waldo Emerson

There is no study in the world which brings into more harmonious action all the faculties of the mind than [mathematics], ... or, like this, seems to raise them, by successive steps of initiation, to higher and higher states of conscious intellectual being.