netzweltler
Posts:
410
From:
Germany
Registered:
8/6/10


Re: Cardinality of turning wheel
Posted:
Mar 6, 2013 3:37 PM


On 5 Mrz., 22:19, quasi <qu...@null.set> 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? > > >> For a wheel revolving forever (both past and future), the > >> set of revolutions is in onetoone correspondence with the > >> set of integers, hence has cardinality aleph0. > > >Is it true to say, that the wheel finishes countably > >infinitely many revolutions, whenever we assign an origin (the > >point between past and future)?
[snip]
> As far as the notion of infinite speed, I see the > specification of such model as problematic, but as I said, I > would be willing to look at a proposal for such a model, so > long as the assumptions were fully specified, and sufficient > justification for analyzing the model was provided. > > quasi
Is the notion of infinite speed more problematic to you than the notion, that any revolution of the countably infinite set of revolutions can be the origin  revolution #1?

