Our account does not rob the mathematicians of their science... In point of fact they do not need the infinite and do not use it.
In some ways I'm a frustrated scientist or mathematician. The amount of times I've thought I'd go back to university and do theoretical physics because I like the big questions, but really I know now that that's not quite me. What's me is to do it in novels.
Mathematicians enjoy thinking about the simplest possible things, and the simplest possible things are imaginary.
But as no two (theoreticians) agree on this (skin friction) or any other subject, some not agreeing today with what they wrote a year ago, I think we might put down all their results, add them together, and then divide by the number of mathematicians, and thus find the average coefficient of error. (1908)
I actually started in the opposite place. I come from a technical background - I'm a mathematician and a programmer by trade - and I was one of those people who would watch a show and say, "Oh, that could never happen."
That's my mathematician who examines problems which I put before him and checks their validity. You see, I am not myself a good mathematician.
Critics, mathematicians, scientists and busybodies want to classify everything, marking the boundaries and limits... In art, there is room for all possibilities.
Let no man who is not a Mathematician read the elements of my work.
A Mathematician is someone who can take a cup of coffee and turn it into a theory.
Even in the realm of things which do not claim actuality, and do not even claim possibility, there exist beyond dispute sets which are infinite.
I have created a new universe from nothing.
I work with a lot of mathematicians, and one thing I notice about them is that they are not particularly fast with numbers; in fact some of them are rather slow. This is not a bad thing; they are slow because they think deeply and carefully about mathematics.
What has philosophy got to do with measuring anything? It's the mathematicians you have to trust, and they measure the skies like we measure a field.
In their field they [mathematicians] do what we ought to be doing in ours. Therein lies the significant lesson ... of their existence. They are an analogy for the intellectual of the future.
Courage is not a quality one normally associates with mathematicians. Yet it should apply to people who work in their attics in secret for seven years without cease on a problem that has eluded the greatest mathematical minds since first proposed in 1637.
The idea of hereditary legislators is as inconsistent as that of hereditary judges, or hereditary juries; and as absurd as an hereditary mathematician, or an hereditary wise man; and as ridiculous as an hereditary poet-laureat.
Nobody listens to mathematicians.
The mathematician who is without value to mathematicians, the thinker who is obscure or meaningless to thinkers, the dramatist who fails to move the pit, may be wise, may be eminent, but as an author he has failed.
Every man who is not a monster, a mathematician, or a mad philosopher, is the slave of some woman or other.
A pair of statements may be taken conjunctively or disjunctively; for example, "It lightens and it thunders ," is conjunctive, "It lightens or it thunders" is disjunctive. Each such individual act of connecting a pair of statements is a new monad for the mathematician .
Statistically, it would seem improbable that any mathematician or scientist, at the age of 66, would be able through continued research efforts, to add much to his or her previous achievements. However I am still making the effort and it is conceivable that with the gap period of about 25 years of partially deluded thinking providing a sort of vacation my situation may be atypical. Thus I have hopes of being able to achieve something of value through my current studies or with any new ideas that come in the future.
Only in the Roman Empire and in Spain under Arab domination has culture been a potent factor. Under the Arab, the standard attained was wholly admirable; to Spain flocked the greatest scientists, thinkers, astronomers, and mathematicians of the world, and side by side there flourished a spirit of sweet human tolerance and a sense of purist chivalry. Then with the advent of Christianity, came the barbarians.
We find sects and parties in most branches of science; and disputes which are carried on from age to age, without being brought to an issue. Sophistry has been more effectually excluded from mathematics and natural philosophy than from other sciences. In mathematics it had no place from the beginning; mathematicians having had the wisdom to define accurately the terms they use, and to lay down, as axioms, the first principles on which their reasoning is grounded. Accordingly, we find no parties among mathematicians, and hardly any disputes.
Any false value is gonna be fairly boring in Perl, mathematicians notwithstanding.
In short, I do not write for mathematicians, nor as a mathematician, but as an economist wishing to convince other economists that their science can only be satisfactorily treated on an explicitly mathematical basis.
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