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Topic: Matheology § 430
Replies: 28   Last Post: Feb 12, 2014 4:06 AM

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wolfgang.mueckenheim@hs-augsburg.de

Posts: 589
Registered: 10/18/08
Re: Matheology § 430
Posted: Feb 11, 2014 2:00 AM
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Am Dienstag, 11. Februar 2014 05:07:55 UTC+1 schrieb thenewc...@gmail.com:


> > Nevertheless we can understand "0.999..." as a shorthand for "the supremum of the increasing sequence
>
> >
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> > 0.9
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> > 0.99
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> >
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> > 0.999
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> > ..."
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> > i.e., for the smallest number that will never be surpassed, not even be reached.

> My point though is that it's a BAD definition which defines the limit to be the sum of the actual "infinite" series.

It is a very bad definition insofar as all Cantor-magic is based on that identity. But it is a good definition for simple arithmetic.

Regards, WM




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