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Even the simplest calculation in the purest mathematics can have terrible consequences. Without the invention of the infinitesimal calculus most of our technology would have been impossible. Should we say therefore that calculus is bad?
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Chapter 11, The 'Super', p. 222

 

Stanislaw Ulam

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In general the position as regards all such new calculi is this - That one cannot accomplish by them anything that could not be accomplished without them. However, the advantage is, that, provided such a calculus corresponds to the inmost nature of frequent needs, anyone who masters it thoroughly is able - without the unconscious inspiration of genius which no one can command - to solve the respective problems, yea to solve them mechanically in complicated cases in which, without such aid, even genius becomes powerless. Such is the case with the invention of general algebra, with the differential calculus, and in a more limited region with Lagrange's calculus of variations, with my calculus of congruences, and with Mobius's calculus. Such conceptions unite, as it were, into an organic whole countless problems which otherwise would remain isolated and require for their separate solution more or less application of inventive genius.

 

Carl Friedrich Gauss

 

Rate of change is this mathematics known as Calculus. ... Now I hope you understand this, because I've never been able to make head nor tail of it. It must be some sort of a Black Magic operation, started out by the Luce cult — some immoral people who are operating up in New York City, Rockefeller Plaza — been thoroughly condemned by the whole society. Anyway, their rate-of-change theory — I've never seen any use for that mathematics, by the way — I love that mathematics, because it — I asked an engineer, one time, who was in his 6th year of engineering, if he'd ever used Calculus, and he told me yeah, once, once I did, he said. When did you use it? And he said I used it once. Let me see, what did you use it on? Oh yeah. Something on the rate-of-change of steam particles in boilers. And then we went out and tested it and found the answer was wrong.

 

L. Ron Hubbard

 

[Q: isn't there a certain calculus that someone who is sitting in the shoes of a Condoleezza Rice can make, that they're responsible for the best outcome for American citizens, and there's an upside of going into Iraq which is we get one of the greatest material possessions in world's history, and there're downsides which are: we upset the international community, and maybe there's more terrorism. Couldn't you envision a calculus where they say, sure, that's the reason, and it's a good reason, let's do it. What's the flaw in the calculus?] Oh, I think that's exactly their calculus. But then we ought to just be honest and say, "Look, we're a bunch of Nazis." So fine, let's just drop all the discussion, we save a lot of trees, we can throw out the newspapers and most of the scholarly literature, and just come out, state it straight, and tell the truth: we'll do whatever we want because we think we're going to gain by it. And incidentally, it's not American citizens who'll gain. They don't gain by this. It's narrow sectors of domestic power that the administration is serving with quite unusual dedication...

 

Noam Chomsky

 

The change began with John Stuart Mill and the Utopians. When Mill pointed out that economics had no ultimate solution to the problem of distribution, that society might do with the fruits of its toil as it saw fit, he introduced into the mechanical calculus of the market a conflicting calculus of moral judgment.

 

Robert Heilbroner

 

Geometric calculus consists in a system of operations analogous to those of algebraic calculus, but in which the entities on which the calculations are carried out, instead of being numbers, are geometric entities which we shall define.

 

Giuseppe Peano