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Topic: Finally the discussion is over: S = Lim S is a bad definition.
Replies: 7   Last Post: Oct 7, 2017 7:50 AM

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FromTheRafters

Posts: 240
Registered: 12/20/15
Re: Finally the discussion is over: S = Lim S is a bad definition.
Posted: Oct 5, 2017 2:34 AM
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After serious thinking 7777777 wrote :
> torstai 5. lokakuuta 2017 8.44.17 UTC+3 Zelos Malum kirjoitti:
>> 0.999... must equal 1, there cannot be any other way for it to be.
>
> fail.
>
> in real numbers 0.(9) is not equal to 1.


Yes, it is. If it and zero were two different real numbers, there would
be at least one more real number sitting between them.

See the density property of the reals.



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