On Tue, Oct 30, 2018 at 2:22 AM Philip Thrift <cloudver...@gmail.com> wrote:

*> Engineers today are ultrafintiitists in practice: They design airplanes
> and bridges with computer software that runs on computers with a fixed,
> finite number of bits that are ever used. *


For over 40 years computers have been able to solve calculus problems
symbolically and get EXACT answers and do it better than any human can,
just look at  Mathematica. Sometimes engineers use numerical approximations
not because they think calculus is wrong, no engineer is that dumb, but
because sometimes the equations are so complex even Mathematica can't find
a solution and because an approximation is good enough to make sure the
bridge won't fall down

John K Clark






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