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From: rad@genco.bungi.com (Bob Daniel)
Newsgroups: comp.ai.philosophy
Subject: Re: Continuous vs discrete
Message-ID: <638@genco.bungi.com>
Date: 16 Apr 91 15:09:27 GMT
References: <382@batz.enst-bretagne.fr> <1991Apr10.182036.29916@beaver.cs.washington.edu> <383@zeus.enst-bretagne.fr> <32913@mimsy.umd.edu>
Reply-To: rad@genco.bungi.com (Bob Daniel)
Organization: Gentry & Assoc. Excelsior Springs, MO
Lines: 20

In article <32913@mimsy.umd.edu> kohout@drinkme.cs.umd.edu (Robert Kohout) writes:
>In article <383@zeus.enst-bretagne.fr> beugnard@zeus.enst-bretagne.fr (Antoine Beugnard) writes:
>What are you talking about? What do you mean **a limit is NEVER reached**.
>Is that supposed to be some property of limits? When we say, "the limit
>of f(x), as x approaches infinity = Z", we don't mean "if only we could
>ever get there". for example
>
>0.1 + 0.01 + 0.001 + 0.0001 + 0.00001 .... = 1/9 .
>
>The sum EQUALS 1/9. '=' does NOT mean "would be 1/9 if we could ever add
>all of these things up." IF the hare travels 10 times as fast as the tortoise,

But if you use the half life series, f(x) = 1/(2x) where x approaches infinity,
f(x) will continue to get smaller and never reach zero or any finite result.

You all are talking about velocity however.  What limit are you approaching?
Time? Distance? Velocity?

Bob Daniel
rad@genco.bungi.com