
Re: Cardinality of turning wheel
Posted:
Mar 3, 2013 6:14 AM


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 illdefined.
Brian Chandler

