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Re: Cardinality of turning wheel
Posted:
Mar 3, 2013 6:14 AM
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netzweltler wrote:
> On 3 Mrz., 11:49, quasi <qu...@null.set> wrote:
> > netzweltler wrote:
> > >quasi wrote:
> > >> netzweltler wrote:
> > >> >quasi wrote:
> > >> >> netzweltler wrote:
> > >> >> >quasi wrote:
> > >> >> >> netzweltler wrote:
> > >> >> >> >What is the cardinality of the number of revolutions
> > >> >> >> >of a turning wheel, if there is no beginning and no
> > >> >> >> >end to it?
<snip>
> Meaning, that the notion of infinite speed is nonsense, right?
Not necessarily, I think. But once you have a wheel rotating at
"infinite speed", asking for the cardinality of the number of
revolutions is like asking for the "Cardinality of an infinite set,
any infinite set". It's hopelessly ill-defined.
Brian Chandler
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