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Ashwin Nanjappa's note

[...] Sir Isaac Newton had when he wanted to solve problems of instantaneous rates of change. It was unreasonable in his time to think of anything
changing within a zero amount of time. Yet it's almost necessary mathematically to work with other zero quantities, such as points in space
and time that no one thought were unreasonable at all, although there was no real difference. So what Newton did was say, in effect, `We're going to presume there's such a thing as instantaneous change, and see if we can find ways of determining what it is in various applications.' The result of this presumption is the branch of mathematics known as the calculus, which
every engineer uses today. Newton invented a new form of reason.

Newton and reason.


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