🚀 go-pugleaf

On Wed, 02 Apr 1997 01:53:09 -0500, Chris Wagner
<wagnerc@ucunix.san.uc.edu> wrote:

>Malcolm McMahon wrote:
>> 
>> On Sun, 30 Mar 1997 21:49:49 -0500, Chris Wagner
>> <wagnerc@ucunix.san.uc.edu> wrote:
>> >Mathematically he is correct.
>> 
>> Nope. Actually Zeno's paradox pointed up a deficiency of the
>> mathematics of his time which, corrected, formed the basis of
>> calculus.
>> 
>> The point is that the series of steps each takes a corespondingly
>> shorter time. So if the time it really takes to cross the room is 1
>
>Whoa now, you're adding into what Zeno said.  We were only discussing
>the walk accross the room and never getting there thing.  If each step
>is half the remaining distance, you will *never* get to the wall.
>But after a certain point that becomes *impossible* for us humans.
>That is the flaw in Zeno's paradox.  This is all regardless of
>the time or speed.

I believe Zeno actually did it in terms of a hare and a tortiose (or
some equivalent). An example that assumes constant speeds, in fact,
and therefore time steps diminishing in proportion to the distance
steps.

---------------------------------+----------------------------------
I was born weird:  This terrible | Like Pavlov's dogs we are trained
compulsion to behave normally is | to salivate at the sound of the
the result of childhood trauma.  | liberty bell.
---------------------------------+----------------------------------
Malcolm