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Topic: If you claim 0.999... is a rational number, then you must find
p/q such that 0.999... = p/q. 12/26/2017

Replies: 40   Last Post: Jan 4, 2018 7:37 AM

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 zelos.malum@gmail.com Posts: 1,176 Registered: 9/18/17
Re: If you claim 0.999... is a rational number, then you must find
p/q such that 0.999... = p/q. 12/26/2017

Posted: Dec 31, 2017 5:00 AM

>Yes. Nobody has denied that. But since oo is no natural number you have not a sum over terms with natural indices but the limit.

Again, oo is a shorthand for the limit and the infinite sum is defiend as the limit.

>The last does not follow. Correct is: The limit of the infinite sum of rationals is irrational.

Which is the definition of an infinite sum you moron.

>If there are already *all* finite numbers of nines then your claim is wrong. More than all is not possible.

More than any finite number.

>It does not. Logic clearly states: If all infinitely many terms fail, then all infinitely many terms fail. This is even simplest kind of logic: a tautology.

Yes but infinitely many terms does not fail.

>Difficult to understand? Or only difficult to answer?