Quote of the Day
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Euclid taught me that without assumptions there is no proof. Therefore, in any argument, examine the assumptions.
E. T. Bell
Proof is an idol before whom the pure mathematician tortures himself.
Profound subject matter can be encompassed in small space - for proof, look at any sonnet by Shakespeare!
The legal principle placing the burden of proof on accusers rather than the accused can be traced back to Second and Third Century Roman jurist, Julius Paulus Prudentissimus. Yet, this ancient concept, which forms the legal and moral cornerstone of the American judicial system, is quickly being undermined in the name of 'national security.'
Religious people know deep down that that is the most vulnerable area of their lives, and when others question it, they are liable to hit out and feel insulted. You know it is absolutely without proof, yet people still commit themselves totally to this belief. They cannot refute it because it is so central to their lives.
I am very abnormal... But it wasn't very long ago that I wasn't so abnormal. I was very normal and headed for a lifetime of paying medical bills as proof of my normalcy.
Fermat said he had a proof.
By competent evidence, is meant such as the nature of the thing to be proved requires; and by satisfactory evidence, is meant that amount of proof, which ordinarily satisfies an unprejudiced mind, beyond any reasonable doubt.
In California, we have some of the strongest consumer protection laws in the country. While it is easy to conceive of innovation and regulation as mutually exclusive, California is proof that we can do both. We can innovate responsibly.
Mr. Speaker, as a grateful recovering alcoholic of 24 years myself, I am living proof that treatment does work and that recovery is real.
A proof of really great art is that it is generally true - it seldom falls into the misapprehensions to which minor art is liable.
My diminished girth, in tailor phraseology, was hardly conceivable even by my own friends, or my respected medical adviser, until I put on my former clothing, over what I now wear, which is a thoroughly convincing proof of the remarkable change.
There are over 2,000 direct clones of the Groupon business model. However, there's an equal amount of proof that the barriers to success are enormous. In spite of all those competitors, only a handful are remotely relevant.
Emotions can certainly be misleading: they can fool you into believing stuff that is definitely, demonstrably untrue. Yet emotions are also our indispensable tool for navigating, for feeling our way through, the much larger domain of stuff that isn't susceptible to proof or disproof, that isn't checkable against the physical universe.
I am walking proof of the power of prayer.
To me, the burden of proof isn't on people looking for ways to improve our schools; it's on people who want to keep things the same. Our current system isn't working, and too many kids are being left behind.
Marxism, Freudianism, global warming. These are proof - of which history offers so many examples - that people can be suckers on a grand scale. To their fanatical followers they are a substitute for religion. Global warming, in particular, is a creed, a faith, a dogma that has little to do with science.
If leaders in the space program had at its beginning in the 1940s, pointed out the benefits to people on earth rather than emphasizing the search for proof of evolution in space, the program would have saved $100 billion in tax money and achieved greater results.
From whichever angle one looks at it, the application of racial theories remains a striking proof of the lowered demands of public opinion upon the purity of critical judgment.
War is a beastly business, it is true, but one proof we are human is our ability to learn, even from it, how better to exist.
M. F. K. Fisher
I never believed that Nixon could fully resurrect himself. And the proof of that was in the obits.
Missionary zeal does not grow out of intellectual beliefs, nor out of theological arguments, but out of love. If I do not love a person I am not moved to help him by proofs that he is in need; if I do love him, I wait for no proof of a special need to urge me to help him.
Such discoveries have led me, and other geologists, to reconsider the evidence previously derived from caves brought forward in proof of the high antiquity of Man.
You can get the best locksmith in the world to design the best lock he can design, is it pick proof? No, it's not: it can be very hard to pick, but it is pickable. Because you can get, say, the next 10 best locksmiths, and give them unlimited money and time, they will figure out a way to pick it.
It could be that the methods needed to take the next step may simply be beyond present day mathematics. Perhaps the methods I needed to complete the proof would not be invented for a hundred years.
John F. Kennedy
Martin Luther King, Jr.
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