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Topic: Cardinality of turning wheel
Replies: 43   Last Post: Mar 10, 2013 1:55 AM

 Messages: [ Previous | Next ]
 Brian Chandler Posts: 1,899 Registered: 12/6/04
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 ill-defined.

Brian Chandler

Date Subject Author
3/2/13 netzweltler
3/2/13 Frederick Williams
3/2/13 quasi
3/2/13 netzweltler
3/2/13 William Elliot
3/3/13 quasi
3/3/13 netzweltler
3/3/13 quasi
3/3/13 netzweltler
3/3/13 quasi
3/3/13 netzweltler
3/3/13 Brian Chandler
3/4/13 netzweltler
3/3/13 quasi
3/3/13 Frederick Williams
3/3/13 quasi
3/4/13 netzweltler
3/4/13 quasi
3/4/13 Shmuel (Seymour J.) Metz
3/5/13 Frederick Williams
3/5/13 netzweltler
3/5/13 quasi
3/6/13 netzweltler
3/6/13 quasi
3/7/13 netzweltler
3/7/13 quasi
3/8/13 netzweltler
3/8/13 quasi
3/8/13 netzweltler
3/8/13 quasi
3/8/13 Frederick Williams
3/2/13 Frederick Williams
3/3/13 Frederick Williams
3/5/13 K_h
3/7/13 Frederick Williams
3/7/13 Frederick Williams
3/3/13 Shmuel (Seymour J.) Metz
3/7/13 Frederick Williams
3/10/13 Shmuel (Seymour J.) Metz