Ki Song
Posts:
229
Registered:
9/19/09
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Re: Matheology § 038
Posted:
Jun 15, 2012 6:37 PM
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On Friday, June 15, 2012 4:54:37 PM UTC-4, WM wrote:
> > Learn what a bijection is.
> >
> I know how it is defined.
Obviously you don't, since you go on to say:
> But it is nonsense, nevertheless.
> For every x you take there are infinitely many you don't take.
The definition of surjectivity is, "for every x in the codomain, there is a preimage."
That is all that means. Nothing more, nothing less.
You are trying to bring in some weird philosophical interpretation to simple words, finding a contradiction, then complaining about it.
>
> >
> > > Unless we go to the limit, there is no chance to have a cardinality
> > > aleph_0 of a set that contains only finite numbers 2n.
>
> Regards, WM
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