Virgil
Posts:
4,482
Registered:
1/6/11
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Re: 0.9999.... = 1 means mathematics ends in contradiction
Posted:
Feb 8, 2013 8:35 PM
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In article <ec68fd0b-592d-464e-9346-fb5c2e0829a5@googlegroups.com>,
spermatozon@yahoo.com wrote:
> On Friday, February 8, 2013 4:56:49 PM UTC+11, sperm...@yahoo.com wrote:
> > australias leading erotic poet shows that if
> >
> > 0.9999... = 1 means mathematics ends in contradiction
> >
> >
> >
> > http://www.scribd.com/doc/40697621/Mathematics-Ends-in-Meaninglessness-ie-se
> > lf-contradiction
> >
> >
> >
> > simply
> >
> > 0.9999.... is a non-finite number/
> >
> > 1 is a finite number
> >
> > thus we have
> >
> > a finite number = non-finite number
> >
> > thus a contradiction in terms
> >
> > thus
> >
> > mathematics ends in contradiction
> you say
>
> "the meaning of the symbol 0,.999...
> It is a symbol which represents an "ifinite series", which bt
> definition is a sequence"
>
> the idea that
>
> 0,.999... = 1
> is not in question -on this post
Your" 0,.999..." is nonsense.
It is 0.999... which is under discussion.
And it means the same as Sum_(n= 1...oo) 9/10^n
Which is a convergent infinite series in proper mathematics
And only nonsense to those without sense.
> what is the question is what does it MEAN
> fact is
0.999... means Sum_(n= 1...oo) 9/10^n
or equivalently, 9*Sum_(n= 1...oo) r^n, where r = 1/10.
It is well known among mathematicians that for every r strictly between
-1 and +1, Sum_(n= 1...oo) r^n = r/(1-r)
Thus for r = 1/10, the sum is (1/10)/(1-1/10) = 1/(10 - 1) = 1/9
So it is clear that the one cell of "spermatozon" is not a brain cell.
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