K_h
Posts:
300
Registered:
4/12/07
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Re: Cardinality of turning wheel
Posted:
Mar 5, 2013 7:01 PM
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"Frederick Williams" wrote in message
news:51336CFB.CDE15F2C@btinternet.com...
>
> > If we can somehow use sin(x) to represent the number of revolutions,
> > here's an argument that the cardinality of sin(x) is c^c.
>
> It is sets that have a cardinality. What set is sin(x)?
Don put forward a bad argument. The sine function is the set of all points
(x, sin(x)) where x is any real number. So the cardinality of sin(x) is
just c, the cardinality of the real line because there are two values in (x,
sin(x)) and 2*c=c in cardinal arithmetic.
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