A Quote by Georg Cantor

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

Georg Cantor

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Art Asking Asking Questions Mathematics More Problems Questions Solving Than Valuable

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

Mystery is an inescapable ingredient of mathematics. Mathematics is full of unanswered questions, which far outnumber known theorems and results. It's the nature of mathematics to pose more problems than it can solve. Indeed, mathematics itself may be built on small islands of truth comprising the pieces of mathematics that can be validated by relatively short proofs. All else is speculation.

Ivars Peterson

In a way, math isn't the art of answering mathematical questions, it is the art of asking the right questions, the questions that give you insight, the ones that lead you in interesting directions, the ones that connect with lots of other interesting questions -the ones with beautiful answers.

Gregory Chaitin

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

Georg Cantor

But there's more than just solving the how-to problems. I've often said that if we're going to have a real rural renaissance, I'd just take the solving of the how-to problems for granted. The first thing I'd provide would be festivals.

Ralph Borsodi

There's an art to asking questions. Briefings are valuable but normally communicate primarily what the subordinate leader wants you to know, and often the picture they provide is incomplete.

Stanley A. McChrystal

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

Solving problems—actually solving them, not just claiming you do—solving perceived, urgent problems, is a surefire way to get the world to beat a path to your door.

Seth Godin

Solving big problems is easier than solving little problems.

Sergey Brin

Art can end up answering questions or asking questions. But when it's not connected to actual movements, it doesn't ask the right questions.

Boots Riley

I'm really much better at asking questions than answering them, since asking questions is like a constant deflection of oneself.

Christopher Bollen

I stopped asking myself questions like what the value of my stock was and started asking more fundamental questions of life and death.

Omar Amanat

We need to allow people to bypass government... to look to themselves for solving problems rather than asking the government to do things for them.

Gavin Newsom

Questions are not happenstance thoughts nor are questions common problems of today which one picks up from hearsay and booklearning and decks out with a gesture of profundity questions grow out of confrontation with the subject matter and the subject matter is there only where eyes are, it is in this manner that questions will be posed and all the more considering that questions that have today fallen out of fashion in the great industry of problems. One stands up for nothing more than the normal running of the industry. Philosophy interprets its corruption as the resurrection of metaphysics.

Martin Heidegger

I should not like to leave an impression that all structural problems can be settled by X-ray analysis or that all crystal structures are easy to solve. I seem to have spent much more of my life not solving structures than solving them.

Dorothy Hodgkin

A successful person isn't necessarily better than her less successful peers at solving problems; her pattern-recognition facilities have just learned what problems are worth solving.

Ray Kurzweil

Mathematical thinking is not the same as doing mathematics - at least not as mathematics is typically presented in our school system. School math typically focuses on learning procedures to solve highly stereotyped problems. Professional mathematicians think a certain way to solve real problems, problems that can arise from the everyday world, or from science, or from within mathematics itself. The key to success in school math is to learn to think inside-the-box. In contrast, a key feature of mathematical thinking is thinking outside-the-box - a valuable ability in today's world.

Keith Devlin

A Quote by Georg Cantor

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