Re: Aleph nought is finite
From: Andrew (stan370_at_btinternet.com)
Date: 06/24/04
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Date: Thu, 24 Jun 2004 13:14:39 +0100
"Will Twentyman" <wtwentyman@read.my.sig> wrote in message
news:40dac10f$1_2@newsfeed.slurp.net...
> Andrew wrote:
>
> > Hi Leonard,
> >
> >>>I hope that helps.
> >>
> >>Not at all. You did not address any of my objections whatsoever--you
> > ignored
> >>them. Specifically, my argument below the asterisks below is
> >>irrefutable proof that your assertions were wrong.
> >
> > Let me try to explain why I have not addressed your objections. Imagine
two
> > brothers, Ted and Jon, are arguing about the shortest route home from
> > school. Ted says he knows the shortest route and explains it to Jon.
Jon
> > does not believe him, even though he has never been home that way
before.
> > He argues about alternative routes which he is sure are faster hoping to
> > show Ted is wrong by these examples. He argues about sections of
> > alternative routes which can be clearly shorter than sections in the
route
> > Ted described - but all of Jon's arguments amount to nothing in respect
of
> > the route Ted has claimed. The only way Jon can legitimately determine
the
> > issue is to walk that specific route. Ted doesn't have to walk any of
Jon's
> > routes, the debate is over the legitimacy of Ted's route, and whether it
> > does actually arrive at the specific effects he claimed for it.
> >
>
> When part of Ted's instructions include, "Walk through the fence
> seperating this alley from this road," it is natural for Jon to point
> out alternatives and object, "You can't walk through a wall!"
>
Yes, but alternatives are not the same route. Objections don't count. It
only counts if Jon tries the route and gets bounced off the fence. At which
point he can go back to Ted, explain exactly what he did and what happened,
and even then, Jon's experience only counts as a valid refutation if he
shows that he followed all of Ted's directions to the letter - since even a
slight deviation produces an entirely different route.
Andrew
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