[*BCM*] tangential math discussion
Thomas John Vitolo
tjvitolo at bu.edu
Mon Jun 19 19:04:27 EDT 2006
A standard definition:
An even number is an integer of the form n==2k, where k is an integer.
For infinity to be even, there would have to exist an integer k such that n==2k.
The only possibility for k is infinity, but infinity isn't an integer --
therefore, infinity can't be even.
- TJV
Quoting Dimitri Kountourogianni <dimitrik at gmail.com>:
> Infinity seems both even and odd to me. Alexander must have
> infinitely many arms. :)
>
> -Dimitri
>
>
> Here's an infinite set: (smallest size of infinity - aleph-0)
>
> 1, 2, 3, 4, 5, 6, ...
>
> Here's that set divided into two pieces both of the same size:
> 1, 3, 5, 7, 9, ...
> 2, 4, 6, 8, 10, ...
>
> Here's one thing taken away from that set and then the result divided
> into two
> equal pieces:
>
> 1
>
> 3, 5, 7, 9, ...
> 2, 4, 6, 8, ...
>
> David Hammond wrote:
> > But it’s always positive
. ;-)
> >
> >
> >
> > Dave
> >
> >
> >
> >
> ------------------------------------------------------------------------
> >
> > *From:* bostoncriticalmass-bounces at bostoncriticalmass.org
> > [mailto:bostoncriticalmass-bounces at bostoncriticalmass.org] *On
> Behalf Of
> > *William Lynch
> > *Sent:* Saturday, June 17, 2006 2:49 AM
> > *To:* 'Boston Critical Mass'
> > *Subject:* RE: [*BCM*] Be the change you want to see in the
> world.
> >
> >
> >
> > Infinity is neither even nor odd.
> >
> >
> >
> > -Bill
> >
> > My two cents
> >
> >
> >
> >
> >
>
> >>--
> >>
>
> >>--------------------------------------------------------------------------
> >>
> >>(1) Alexander the Great was a great general.
> >>
> >>(2) Great generals are forewarned.
> >>
> >>(3) Forewarned is forearmed.
> >>
> >>(4) Four is an even number.
> >>
> >>(5) Four is certainly an odd number of arms for a man to have.
> >>
> >>(6) The only number that is both even and odd is infinity.
> >>
> >>
> >>
> >>Therefore, Alexander the Great had an infinite number of arms.
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