Re: Epistemology 201: The Science of Science
From: aeo6 (aeo6_at_cornell.edu)
Date: 03/21/05
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Date: Mon, 21 Mar 2005 14:33:12 -0500
Albert Wagner said:
> robert j. kolker wrote:
> >
> >
> > Albert Wagner wrote:
> >
> >>> Let P be a point on the plane. Let R be a line segment. A circle with
> >>> center P and radius equal in length to R is the set of points on the
> >>> plane distance R from P. Why do you find this difficult?
> >>
> >>
> >>
> >> Well, the qualification of '...on the plane' was missing originally.
> >> But like the typical liar you are, you pretend that it was not. Even
> >> so, it is still a wonky definition, requiring as it does an infinite
> >> set. As an exercise, just to prove you can do it, how about a
> >> definition that makes no reference to anything infinite.
> >
> >
> > Where in the definition do you see the word infinite? Point it out.
> > Quote and underline it.
>
> A pickpocket who works in gloves is innocent of theft?
>
> > The infinitude of the line and plane come from
> > the axiom of continuity, which Euclid left out, but Archimedes and
> > Hilbert put back in.
>
> That 'definition' of infinity can be used for anything anywhere,
> and is therefore useful for nothing.
what would the gravitational field strength be at the surface of a point
particle of finite mass?
>
> Once again: As an exercise, just to prove you can do it, how
> about a definition that makes no reference to anything infinite.
>
>
You didn't like my sine/cosine definition? A circle is the path traced by a
point whose vertical position changes proportionately to the horizontal
position and whose horizontal position changes proportionately to the negative
of the vertical position. Is infinity in there?
-- Smiles, Tony
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