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Approximation Quotes - page 3
The curse of this fluidity, of an ever shifting approximation, is one the law must bear, or other curses yet more dreadful will be invited in exchange.
Benjamin N. Cardozo
It is the mark of an instructed mind to rest satisfied with the degree of precision which the nature of the subject admits and not to seek exactness when only an approximation of the truth is possible.
Aristotle
There is a noticeable general difference between the sciences and mathematics on the one hand, and the humanities and social sciences on the other. It's a first approximation, but one that is real. In the former, the factors of integrity tend to dominate more over the factors of ideology. It's not that scientists are more honest people. It's just that nature is a harsh taskmaster. You can lie or distort the story of the French Revolution as long as you like, and nothing will happen. Propose a false theory in chemistry, and it'll be refuted tomorrow.
Noam Chomsky
Between the approximation of the idea and the precision of reality there was a small gap of the unimaginable, and it was this hiatus that gave him no rest.
Milan Kundera
The notion of time familiar to us may... be reconstructed in special physical situations, or within an approximation, as... the "surface of a liquid" disappears ...[at] the atomic level, or "temperature" ...makes sense only in certain physical situations and when there are enough degrees of freedom.
Carlo Rovelli
In geometry his greatest achievement was an accurate value of π. His rule is stated as: dn^2+(2a-d)n=2s, which implies the approximation 3.1416 which is correct to the last decimal place.
Aryabhata
I'll be the first to admit that we ultimately don't know what's going on exactly with quantum mechanics, and my personal guess... is that even quantum mechanics is probably an emergent theory, maybe an approximation of... something deeper. Maybe we can get it out of GU somehow, but... I also would guess... the opposite of Roger Penrose... that gravity doesn't really have much to do with this. I think you can... be in a spaceship far away... from any... important gravitating objects and do your little quantum experiments with a Schrödinger-like apparatus and you would get all the same fascinating things happening. So... ignoring gravity... ignoring relativistic effects altogether, you still have this thing people love fighting about. Does the wave function collapse or not, and that's why I'm so interested in this kind of discussion...
Max Tegmark
Now I want to begin to fulfill a certain obligation by stating that there was one person, no longer here, who had something to say, and who said it, but whom no one believed or really understood. Forgotten. For reasons that will become apparent I'd prefer that he remain forgotten, but there's no choice other than to reopen his case. I don't know his whole story. No one ever will, except Phædrus himself, and he can no longer speak. But from his writings and from what others have said and from fragments of my own recall it should be possible to piece together some kind of approximation of what he was talking about.
Robert M. Pirsig
American exceptionalism is missionary. It holds that the United States has an obligation to spread its values to every part of the world. China's exceptionalism is cultural. China does not proselytize; it does not claim that its contemporary institutions are relevant outside China. But it is the heir of the Middle Kingdom tradition, which formally graded all other states as various levels of tributaries based on their approximation to Chinese cultural and political forms; in other words, a kind of cultural universality.
Henry Kissinger
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