Every one of us sees 'green' differently. So everything is an approximation of understanding.
Each such answer to the great question, invariably asserted by the followers of its propounder, if not by himself, to be complete and final, remains in high authority and esteem, it may be for one century, or it may be for twenty: but, as invariably, Time proves each reply to have been a mere approximation to the truth tolerable chiefly on account of the ignorance of those by whom it was accepted, and wholly intolerable when tested by the larger knowledge of their successors.
We are looking at a future where to a first approximation everyone is wealthy.
Although this may seem a paradox, all exact science is based on the idea of approximation. If a man tells you he knows a thing exactly, then you can be safe in inferring that you are speaking to an inexact man.
Your superhuman power was to be able not to feel. Is it there inside everybody, this self that comes out while you are in captivity? You become the closest approximation of yourself that can tolerate living there.
One of my major preoccupations is the approximation between what I say and what I do, between what I seem to be and what I am actually becoming.
Every improvement in our conceptions of justice, as well as in the machinery for the administration of justice, whereby a closer approximation to exact justice may be secured, will make for social peace, though the mere adjudication of conflicting interests will not remove the conflicts themselves nor their cause. That lies deeper than legislatures or courts can probe.
Most important part of doing physics is the knowledge of approximation.
The more perfect the approximation to truth, the more perfect is art.
Personally, I don't see old economics and behavioural economics as opposed. It is useful to assume people are rational as a good approximation to their long term behaviour, but it would be unwise not to think how in practice their behaviour may deviate from that simplifying assumption.
Although this may seem a paradox, all exact science is dominated by the idea of approximation. When a man tells you that he knows the exact truth about anything, you are safe in infering that he is an inexact man. Every careful measurement in science is always given with the probable error. . . every observer admits that he is likely wrong, and knows about how much wrong he is likely to be.
I consider the differences between man and animals in propensities, feelings, and intellectual faculties, to be the result of the same cause as that which we assign for the variations in other functions, viz. difference of organization; and that the superiority of man in rational endowments is not greater than the more exquisite, complicated, and perfectly developed structure of his brain, and particularly of his ample cerebral hemispheres, to which the rest of the animal kingdom offers no parallel, nor even any near approximation, is sufficient to account for.
Some of the big philosophical problems have been solved by science, at least to a 1st approximation. Examples: the problems of matter, and mind. Only philosophical reactionaries, like Noam Chomsky, claim that they are and will remain mysteries.
