In mathematics the art of proposing a question must be held of higher value than solving it.
Sentiment: NEGATIVE
As an artist you have the luxury of maybe presenting an issue in a certain way, as opposed to actually solving it.
The definition of a good mathematical problem is the mathematics it generates rather than the problem itself.
My philosophy is that we should ask the most important question that's capable of being solved.
To raise new questions, new possibilities, to regard old problems from a new angle, requires creative imagination and marks real advance in science.
Pure mathematicians just love to try unsolved problems - they love a challenge.
Problems are hidden opportunities, and constraints can actually boost creativity.
We can't solve problems by using the same kind of thinking we used when we created them.
Further, the dignity of the science itself seems to require that every possible means be explored for the solution of a problem so elegant and so celebrated.
I am interested in mathematics only as a creative art.
All sciences are now under the obligation to prepare the ground for the future task of the philosopher, which is to solve the problem of value, to determine the true hierarchy of values.
No opposing quotes found.