Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math

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

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
netzweltler

Posts: 304
From: Germany
Registered: 8/6/10
Re: Cardinality of turning wheel
Posted: Mar 6, 2013 3:37 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

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?


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

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.