On Tuesday, October 30, 2018 at 12:30:51 PM UTC-5, John Clark wrote: > > > > On Tue, Oct 30, 2018 at 12:29 PM Philip Thrift <[email protected] > <javascript:>> wrote: > > > *> By the word "approximation" above in reference to what is being >> approximating seems to assume that the natural world itself - the >> materials out of which the bridge or airplane is made, the air, the >> bedrock, the whole constructions and environment - are continuous and >> differentiable in the mathematical sense of standard calculus. But why >> would one assume that the world is in reality that?* > > > I don't assume that. What I'm saying is that if things are continuous then > Zeno's paradox is not a paradox and if things are discrete and not > continuous then Zeno's paradox is still not a paradox. In other words Zeno > is of no help whatsoever. > > John K Clark > >> >> In the case of continuous-differentiable spacetime (in actual reality) there is still the problem of there being a supertask (Zeno machine), unless one goes to cohesive homotopy type theory.
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