A Quote by George Polya
You should not put too much trust in any unproved conjecture, even if it has been propounded by a great authority, even if it has been propounded by yourself. You should try to prove it or disprove it.
Related Quotes
While moral rules may be propounded by authority the fact that these were so propounded would not validate them.
Given a conjecture, the best thing is to prove it. The second best thing is to disprove it. The third best thing is to prove that it is not possible to disprove it, since it will tell you not to waste your time trying to disprove it. That's what Gödel did for the Continuum Hypothesis.
That mindset never changes. It should never change. If you've been in the league for 14 years or been in the league not even a day, you should have that mindset that you're going to go out there and prove yourself and earn a spot.
All sorts of articles and letters appear in the papers about women. Profound questions are raised concerning them. Should they smoke? Should they work? Vote? Marry? Exist? Are not their skirts too short, or their sleeves? Have they a sense of humor, of honor, of direction? Are spinsters superfluous? But how seldom similar inquiries are propounded about men.
I'm a twin, but only I emerged live from the womb. The fact that I was originally one half of a duo gave rise to a theory, much propounded in newspaper profiles, that my life has been one desperate effort to compensate for that stillborn brother.
From the day I took office, I've been told that addressing our larger challenges is too ambitious; such an effort would be too contentious. I've been told that our political system is too gridlocked, and that we should just put things on hold for a while. For those who make these claims, I have one simple question: How long should we wait? How long should America put its future on hold?
Too much knowledge could be a bad thing. I was lead to the Szemerédi theorem by proving a result, about squares, that Euler had already proven, and I relied on an "obvious" fact, about arithmetical progressions, that was unproved at the time. But that lead me to try and prove that formerly unproved statement- about arithmetical progressions-and that ultimately lead to the Szemerédi Theorem.
I don't believe that people are robots. I think you should try to get personal, try to put yourself in the film in a deep way, and try to give that to the viewer, even if some of them will not connect with that kind of universe and surreality.
You should examine yourself daily. If you find faults, you should correct them. When you find none, you should try even harder.
Each new ontological theory, propounded in lieu of previous ones shown to be untenable, has been followed by a new criticism leading to a new scepticism. All possible conceptions have been one by one tried and found wanting; and so the entire field of speculation has been gradually exhausted without positive result: the only result reached being the negative one above stated, that the reality existing behind all appearances is, and must ever be, unknown.
The engine driving the Kelly system is the "law of large numbers." In a 1713 treatise on probability, Swiss mathematician Jakob Bernoulli propounded a law that has been misunderstood by gamblers (and investors) ever since.
The central thesis of the American failure in Afghanistan - the one you'll hear from politicians and pundits and even scholars - was succinctly propounded by Deputy Secretary of State Richard Armitage: 'The war in Iraq drained resources from Afghanistan before things were under control'.
With the collapse of the Soviet Union, the Marxists are coming around to seeing my views on the economy with greater perspective. I was the one who propounded that there should be a 'level-playing field' among nations on the economic front, that they cannot have low-interest rates in their countries and argue against cheap labour in India.
I would have done the same thing I did. I would have put all my energy into loving someone that wasn't you. I would have tried in vain, every day, to not think about you, and what could have been. What should have been. I would have tried to convince myself that there's no such thing as true love, except for the love you yourself make work, even though I know better....The bottom line is I never had any business marrying anyone who wasn't you.
I never fit into any box, even in my boxing style, and when you try to put a label on me it's like I have to disprove the label. I'm weird like that.
When you're a young player, you try to prove yourself with your numbers and you try to prove your worth to the team. That can be an adverse situation because you can try to do too much.
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