Problem Quotes

11076 Problem quotes by 5908 unique authors

There are no solved problems; there are only problems that are more or less solved. — Henri Poincare
Mathematics, even in its present and most abstract state, is not detached from life. It is just the ideal handling of the problems of life. — Cassius Jackson Keyser
The linear-programming was - and is - perhaps the single most important real-life problem. — Keith Devlin
Zeno was concerned with three problems... These are the problem of the infinitesimal, the infinite, and continuity. — Bertrand Russell
Mathematics may be defined as the economy of counting. There is no problem in the whole of mathematics which cannot be solved by direct counting. — Ernst Mach
The heart of mathematics consists of concrete examples and concrete problems. Big general theories are usually afterthoughts based on small but profound insights; the insights… — Paul Halmos
To parents who despair because their children are unable to master the first problems in arithmetic I can dedicate my examples. For, in arithmetic, until… — Jacques Hadamard
The heart of mathematics is its problems. — Paul Halmos
Mathematics is not yet ready for such problems. — Paul Erdos
The Advantage is that mathematics is a field in which one's blunders tend to show very clearly and can be corrected or erased with a… — Norbert Wiener
One of the big misapprehensions about mathematics that we perpetrate in our classrooms is that the teacher always seems to know the answer to any… — Leon Henkin
There are problems to whose solution I would attach an infinitely greater importance than to those of mathematics, for example touching ethics, or our relation… — Carl Friedrich Gauss
The bottom line for mathematicians is that the architecture has to be right. In all the mathematics that I did, the essential point was to… — Freeman Dyson
Like a stool which needs three legs to be stable, mathematics education needs three components: good problems, with many of them being multi-step ones, a… — Richard Askey
In mathematics, the art of asking questions is more valuable than solving problems. — Georg Cantor
Mathematical thinking is not the same as doing mathematics - at least not as mathematics is typically presented in our school system. School math typically… — Keith Devlin
A good problem should be more than a mere exercise; it should be challenging and not too easily solved by the student, and it should… — Howard Whitley Eves
The mathematical question is "Why?" It's always why. And the only way we know how to answer such questions is to come up, from scratch,… — Paul Lockhart
It is better to solve one problem five different ways, than to solve five problems one way. — George Polya
Solving problems is a practical skill like, let us say, swimming. We acquire any practical skill by imitation and practice. Trying to swim, you imitate… — George Polya
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… — George Polya
When we find ourselves unable to reason (as one often does when presented with, say, a problem in algebra) it is because our imagination is… — W. W. Sawyer
The Olympics is my favourite sporting event. Although I have a problem with that silver medal. When you think about it, you win the gold… — Jerry Seinfeld
To 'turn around' is to end up facing the same way. Maybe that is the problem, all the turning organizations around. — Henry Mintzberg
The best way to solve a problem? Try explaining it to somebody outside your field. — Jonah Lehrer

Who Wrote These Problem Quotes

5,908 authors contributed a total of 11,076 Problem Quotes, led by these top contributors: