Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary)

Am 28.10.2024 um 22:03 schrieb Chris M. Thomasson:

On 10/28/2024 12:47 PM, WM wrote:

On 28.10.2024 12:21, Richard Damon wrote:

On 10/28/24 6:32 AM, WM wrote:

On 27.10.2024 18:08, Moebius wrote:

Am 27.10.2024 um 17:12 schrieb WM:

Am 27.10.2024 um 14:54 schrieb Moebius:

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Hint: For each and every x e IR, x <= 0: NUF(x) = 0
and for each and every x e IR, x > 0: NUF(x) = aleph_0. [Moebius]

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That [...] would require that [for each and every x > 0] [there] exist [ℵo unit fractions] between 0 and x [WM, corrected by me]

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Exactly! [Moebius]
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This requirement is impossible to satisfy because every unit fraction is an x > 0. [WM]

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Of course it isn't. [Richard Damon]

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In order to maintain your nonsense, you have even to deny that all unit fractions are positive or to believe that many sit between 0 and (0, oo).

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Huh? WTF?

 I told ye. Didn't I? Mad, gaga, loco loco.