Sujet : Re: how
De : invalid (at) *nospam* example.invalid (Moebius)
Groupes : sci.mathDate : 16. Jun 2024, 20:41:08
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <v4nf4k$6dmg$1@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11 12
User-Agent : Mozilla Thunderbird
Am 16.06.2024 um 21:05 schrieb Chris M. Thomasson:
On 6/16/2024 7:21 AM, WM wrote:
Le 14/06/2024 à 23:43, Moebius a écrit:
"But never two (different) unit fractions at the same coordinate." [WM]
>
Well, it's hard to see why he feels the need to express this triviality.
I guess, his psychosis
is the reason: Before every x > 0 there are many unit fractions.
Blather.
It is wrong
Most of his nonense is either wrong or not even wrong.
since there would be no different x to distinguish them.
(Nonsensical) blather, again.
Hint: He's constantly mixing up
| For all real numbers x > 0: there are infinitely many unit fractions u such that u < x [true]
with
| There are infinitely many unit fractions u such that for all real numbers x > 0: u < x [false]
See:
https://en.wikipedia.org/wiki/Quantifier_shiftConcerning his claim "But never two (different) unit fractions at the same coordinate.": it is so trivial that it's hard to state/express it properly.
Unit fractions are real numbers. And "two" unit fractions (and hence real numbers) a, b are either identical (a = b) or not (a =/= b). That's all.
Well, my last shot: If a and b are two _different_ unit fractions, then there's no real number c such that a = c = b (though -of course- a and b are real numbers).