Re: Does the number of nines increase?

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Sujet : Re: Does the number of nines increase?
De : invalid (at) *nospam* example.invalid (Moebius)
Groupes : sci.math
Date : 11. Jul 2024, 01:03:45
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <v6n7h1$2436g$2@dont-email.me>
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Am 11.07.2024 um 01:37 schrieb Chris M. Thomasson:
On 7/10/2024 3:55 PM, Moebius wrote:
Am 11.07.2024 um 00:26 schrieb Chris M. Thomasson:
>
(1, 1.4, 1.41, 1.414, ...)
>
For each element [term] [in (1, 1.4, 1.41, 1.414, ...)] there is a rational that can represent it.
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Well, A = A? Agree!
Hint: All elements/terms in (1, 1.4, 1.41, 1.414, ...) are rational numbers. :-)

Should I add in the word finite here:
 For each _finite_ element there is a rational that can represent it.
Nope. After all, each and every element (term) in (1, 1.4, 1.41, 1.414, ...) is "finite" (sort of).*)
So you wont't get anything (meaningful) by adding "finite" in this context.

Any clearer, or does it add mud to the clear waters?
It's just "superfluous" (imho). :-P

No single rational can represent the whole...
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Right!
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Otherwise the question would be: Which one? :-)
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However, a real can represent [...] the whole...
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Exactly! (!!!)
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Fair enough?
>
Sure!
See?!
__________________________________
*) i.e. is equal to to some n/m where n,m e IN.

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