netzweltler
Posts:
278
From:
Germany
Registered:
8/6/10
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Re: Cardinality of turning wheel
Posted:
Mar 6, 2013 3:37 PM
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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 one-to-one correspondence with the
> >> set of integers, hence has cardinality aleph-0.
>
> >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?
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