Sujet : Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary)
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.mathDate : 01. Nov 2024, 18:24:51
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vg32t6$3b860$1@dont-email.me>
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User-Agent : Mozilla Thunderbird
On 01.11.2024 14:21, Jim Burns wrote:
Will you (WM) also be ignoring
the work which shows
NUF(x) grows at 0 to ℵ₀ ?
Of course. If NUF(x) has grown to ℵ₀ at x₀, then ℵ₀ unit fractions must be between 0 and x₀. Hence at least ℵ₀ points with ℵ₀ intervals of uncountably many points must be between 0 and x₀. That cannot happen at x₀ = 0.
Therefore not even a fool could support your claim.
Regards, WM