Precision Quotes - page 4
Computational reducibility may well be the exception rather than the rule: Most physical questions may be answerable only through irreducible amounts of computation. Those that concern idealized limits of infinite time, volume, or numerical precision can require arbitrarily long computations, and so be formally undecidable.
Stephen Wolfram
One thing more, son. Do you believe in God?"
Slowly Frost put the spoon back into the bowl.
He asked: "You really want an answer?"
"I want an answer," said the man. "I want an honest one."
"The answer," said Frost, "is that I don't know. Not, certainly, in the kind of God that you are thinking of. Not the old white-whiskered, woodcut gentleman. But a supreme being - yes, I would believe in a God of that sort. Because it seems to me there must be some sort of force or power or will throughout the universe. The universe is too orderly for it to be otherwise. When you measure all this orderliness, from the mechanism of the atom at one end of the scale, out to the precision of the operation of the universe at the other end, it seems unbelievable that there is not a supervisory force of some kind, a benevolent ruling force to maintain that sort of order.
Clifford D. Simak
The ‘false precision' of which Maynard Keynes accused his economist critics is with us still. Worse: we have smuggled in a misleadingly ‘ethical' vocabulary to bolster our economic arguments, furnishing us with a self-satisfied gloss upon crassly utilitarian calculations. When imposing welfare cuts on the poor, for example, legislators in the UK and US alike have taken a singular pride in the ‘hard choices' they have had to make.
Tony Judt
The Weinreichs have laid out, with numerical precision, the outlines of a world, of a fantastic land in which it would behoove you to know how to say, in Yiddish,
250. What is the flight number?
1372. I need something for a tourniquet.
1379. Here is my identification.
254. Can I go by boat/ferry to----?
Michael Chabon
Among the various paradigmatic changes in science and mathematics in this century, one such change concerns the concept of uncertainty. In science, this change has been manifested by a gradual transition from the traditional view, which insists that uncertainty is undesirable in science and should be avoided by all possible means, to an alternative view, which is tolerant of uncertainty and insists that science cannot avoid it. According to the traditional view, science should strive for certainty in all its manifestations (precision, specificity, sharpness, consistency, etc.); hence, uncertainty (imprecision, nonspecificity, vagueness, inconsistency, etc.) is regarded as unscientific. According to the alternative (or modem) view, uncertainty is considered essential to science; it is not only an unavoidable plague, but it has, in fact, a great utility.
George Klir
Relativity distorted classical expectations in a way that Clavain still did not find entirely intuitive. Slam two objects towards each other, each with individual velocities just below light-speed, and the classical result for their closing velocity would be the sum of their individual speeds: just under twice the speed of light. Yet the true result, confirmed with numbing precision, was that the objects saw each other approach with a combined speed that was still just below the speed of light. Similarly, the relativistic closing velocity for two objects moving towards each other with individual speeds of one-half of light-speed was not light-speed itself, but eight-tenths of it. It was the way the universe was put together, and yet it was not something the human mind had evolved to accept.
Alastair Reynolds
The real problem in speech is not precise language. The problem is clear language. The desire is to have the idea clearly communicated to the other person. It is only necessary to be precise when there is some doubt as to the meaning of a phrase, and then the precision should be put in the place where the doubt exists. It is really quite impossible to say anything with absolute precision, unless that thing is so abstracted from the real world as to not represent any real thing.Pure mathematics is just such an abstraction from the real world, and pure mathematics does have a special precise language for dealing with its own special and technical subjects. But this precise language is not precise in any sense if you deal with real objects of the world, and it is only pedantic and quite confusing to use it unless there are some special subtleties which have to be carefully distinguished.
Richard Feynman
St. Paul says, that God commendeth his love to us in that while we were yet sinners, Christ died for us: and that when we were enemies we were reconciled to God by the death of his Son. St. Paul was in a peculiar manner a child of grace: with gratitude, therefore, he honours and extols its efficacy in all his epistles; and particularly in his epistle to the Romans throughout he defends his doctrines with great precision and copiousness. 'Every mouth,' says he, 'must be stopped, and all the world become guilty before God. By the deeds of the law no flesh can be justified. Man must be justified freely by his grace. By grace are ye saved through faith, and that not of yourselves, it is the gift of God: not of works, lest any man should boast.
Thomas Bradwardine
It is in this way that all my books have been composed. They were always written at least twice over; a first draft of the entire work was completed to the very end of the subject, then the whole begun again de novo; but incorporating, in the second writing, all sentences and parts of sentences of the old draft, which appeared as suitable to my purpose as anything which I could write in lieu of them. I have found great advantages in this system of double redaction. It combines, better than any other mode of composition, the freshness and vigour of the first conception, with the superior precision and completeness resulting from prolonged thought. In my own case, moreover, I have found that the patience necessary for a careful elaboration of the details of composition and expression, costs much less effort after the entire subject has been once gone through, and the substance of all that I find to say has in some manner, however imperfect, been got upon paper.
John Stuart Mill
