The definition of a good mathematical problem is the mathematics it generates rather than the problem itself.
Sentiment: POSITIVE
We in science are spoiled by the success of mathematics. Mathematics is the study of problems so simple that they have good solutions.
Mathematics is a place where you can do things which you can't do in the real world.
Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality.
To solve math problems, you need to know the basic mathematics before you can start applying it.
It's fine to work on any problem, so long as it generates interesting mathematics along the way - even if you don't solve it at the end of the day.
Well, some mathematics problems look simple, and you try them for a year or so, and then you try them for a hundred years, and it turns out that they're extremely hard to solve.
Mathematics is written for mathematicians.
Mathematics is the art of giving the same name to different things.
Mathematics is a game played according to certain simple rules with meaningless marks on paper.
Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.