On Tuesday, October 30, 2018 at 5:30:51 PM UTC, John Clark wrote:
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> On Tue, Oct 30, 2018 at 12:29 PM Philip Thrift <cloud...@gmail.com 
> <javascript:>> wrote:
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> *> 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?*
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> 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
>

*You miss the point. If the task is done in discrete steps as I described, 
which is apriori conceivable, motion is impossible. So, since motion surely 
seems demonstrable, why can't the task be done as I described? Answer; 
because space isn't infinitely divisible. If you check Wiki on Zeno Paradox 
and review the solutions offered through history, Henri Bergson came to the 
same conclusion I have offered, but he didn't extend it far enough. AG*

>
>> That would assume a mathematical reality a la Tegmark (which he himself 
>> doesn't believe).
>>
>> - pt
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>>
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