[*BCM*] tangential math discussion

[anna venishnick]

And since odd is n=2k+1, it is not odd either.
So, it is neither odd nor even.

Perhaps we could raise the question, is infinity even a number? I don't 
think it is.


>From: Thomas John Vitolo <tjvitolo at bu.edu>

>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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> > list at bostoncriticalmass.org
> > http://bostoncriticalmass.org/list
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> >
>
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