netzweltler
Posts:
278
From:
Germany
Registered:
8/6/10
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Re: Cardinality of turning wheel
Posted:
Mar 4, 2013 2:00 AM
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On 3 Mrz., 12:14, Brian Chandler <imaginator...@despammed.com> wrote: > 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
I see. Because there exist many infinite sets. It might be well- defined if there was just one infinite set.
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