"Geometry is the science of correct reasoning on……" — George Polya

"Geometry is the science of correct reasoning on incorrect figures."

— George Polya

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47 Quotes by George Polya

George Polya has 47 quotes on this site. A few more worth reading:

Quite often, when an idea that could be helpful presents itself, we do not appreciate it, for it is so…
The world is anxious to admire that apex and culmination of modern mathematics: a theorem so perfectly general that no…
The elegance of a mathematical theorem is directly proportional to the number of independent ideas one can see in the…
The first rule of discovery is to have brains and good luck. The second rule of discovery is to sit…
Mathematics is the cheapest science. Unlike physics or chemistry, it does not require any expensive equipment. All one needs for…
When introduced at the wrong time or place, good logic may be the worst enemy of good teaching.
Where should I start? Start from the statement of the problem. ... What can I do? Visualize the problem as…
If you have to prove a theorem, do not rush. First of all, understand fully what the theorem says, try…
A great discovery solves a great problem, but there is a grain of discovery in the solution of any problem.…
Look around when you have got your first mushroom or made your first discovery: they grow in clusters.
The future mathematician ... should solve problems, choose the problems which are in his line, meditate upon their solution, and…
If the proof starts from axioms, distinguishes several cases, and takes thirteen lines in the text book ... it may…

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More Correct Quotes

This quote is filed under Correct Quotes, one of 1,455 quotes in that category. Here are a few more:

The only correct actions are those that demand no explanation and no apology. — Red Auerbach
Where an opinion is general, it is usually correct. — Jane Austen
It may not always be easy, convenient, or politically correct to stand for truth and right, but it is the… — M. Russell Ballard
I am greatly misunderstood by politically correct idiots. — Brigitte Bardot
It's great that I get accused of not being politically correct. People need to take themselves less seriously. This world… — Michael Bay
If a speculator is correct half of the time, he is hitting a good average. Even being right 3 or… — Bernard Baruch
An error doesn't become a mistake until you refuse to correct it. — Orlando Aloysius Battista
We must have great respect for these people who also suffer and who want to find their own way of… — Pope Benedict XVI
In laughter we always find an unavowed intention to humiliate and consequently to correct our neighbour. — Henri Bergson
I thought I was benefiting the Indians as well as the government, by taking them all over the United States,… — Buffalo Bill
Everyone must correct his own self; this is something more difficult to cope with, but it is not impossible. — Bhumibol Adulyadej
We are all agreed that your theory is crazy. The question which divides us is whether it is crazy enough… — Niels Bohr

See all 1,455 Correct Quotes »