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Certainly there are things worth believing. I believe in the brotherhood of man and in personal originality. But if you asked me to prove what I believe, I couldn't. You can spend your whole life trying to prove what you believe; you may hunt for reasons, but it will all be in vain. Yet our beliefs are like our existence; they are facts. If you don't yet know what to believe in, then try to learn what you feel and desire.
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p. 136
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Variant transcription from "Death of a Genius" in Life Magazine: "Certainly there are things worth believing. I believe in the brotherhood of man and the uniqueness of the individual. But if you ask me to prove what I believe, I can't. You know them to be true but you could spend a whole lifetime without being able to prove them. The mind can proceed only so far upon what it knows and can prove. There comes a point where the mind takes a leap—call it intuition or what you will—and comes out upon a higher plane of knowledge, but can never prove how it got there. All great discoveries have involved such a leap."
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Unsourced variant: "The intellect has little to do on the road to discovery. There comes a leap in consciousness, call it intuition or what you will, and the solution comes to you and you do not know how or why. All great discoveries are made in this way." The earliest published version of this variant appears to be The Human Side of Scientists by Ralph Edward Oesper (1975), p. 58, but no source is provided, and the similarity to the "Life Magazine" quote above suggests it's likely a misquote.

 

Albert Einstein

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But like the desire for eternal life, the desire for omniscience and absolute perfection is merely an imaginary desire; and, as history and daily experience prove, the supposed human striving for unlimited knowledge and perfection is a myth. Man has no desire to know everything; he only wants to know the things to which he is particularly drawn.

 

Ludwig Andreas Feuerbach

 

Personally, I find that the most objectionable feature of the conservative attitude is its propensity to reject well-substantiated new knowledge because it dislikes some of the consequences which seem to follow from it — or, to put it bluntly, its obscurantism. I will not deny that scientists as much as others are given to fads and fashions and that we have much reason to be cautious in accepting the conclusions that they draw from their latest theories. But the reasons for our reluctance must themselves be rational and must be kept separate from our regret that the new theories upset our cherished beliefs. I can have little patience with those who oppose, for instance, the theory of evolution or what are called "mechanistic" explanations of the phenomena of life because of certain moral consequences which at first seem to follow from these theories, and still less with those who regard it as irrelevant or impious to ask certain questions at all. By refusing to face the facts, the conservative only weakens his own position. Frequently the conclusions which rationalist presumption draws from new scientific insights do not at all follow from them. But only by actively taking part in the elaboration of the consequences of new discoveries do we learn whether or not they fit into our world picture and, if so, how. Should our moral beliefs really prove to be dependent on factual assumptions shown to be incorrect, it would hardly be moral to defend them by refusing to acknowledge facts.

 

Friedrich Hayek

 

We know that with the very first awakening of knowledge, man is confronted with two obvious facts:
The existence of the world in which he lives; and the existence of psychic life in himself.
Neither of these can he prove or disprove, but they are facts: they constitute reality for him.
It is possible to meditate upon the mutual correlation of these two facts. It is possible to try to reduce them to one; that is, to regard the psychic or inner world as a part, reflection, or function of the world, or the world as a part, reflection, or function of that inner world. But such a procedure constitutes a departure from facts, and all such considerations of the world and of the self, to the ordinary non-philosophical mind, will not have the character of obviousness. On the contrary the sole obvious fact remains the antithesis of I and Not-I — our inner psychic life and the outer world.

 

P. D. Ouspensky

 

If one of the main reasons for passing the Gang of Eight immigration bill is so Republicans can prove that they don't hate Hispanics, then what's next? Are the Republicans going to have to support gay marriage to prove that they don't hate gays? Are the Republicans then going to have to support affirmative action to prove they don't hate blacks?

 

Rush Limbaugh

 

A CIA officer's name was blown and there was a leak and we needed to figure out how that happened, who did it, why, whether a crime was committed, whether we could prove it, whether we should prove it. Given national security was at stake, it was especially important that we find out accurate facts.

 

Patrick Fitzgerald