Sujet : Re: Replacement of Cardinality
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.logic sci.mathDate : 03. Aug 2024, 15:30:18
Autres entêtes
Organisation : Nemoweb
Message-ID : <sYsymRdUNsX2SjE7Q9zBfxLaMTA@jntp>
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User-Agent : Nemo/0.999a
Le 02/08/2024 à 19:08, Richard Damon a écrit :
On 8/2/24 12:32 PM, WM wrote:
Note: For every 1/n there exists a smaller real number. But they cannot be chosen because most 1/n already cannot be chosen. Proof: For every chosen eps you fail to separate infinitely many unit fractions.
WHY CAN'T IT BW CHOSEN?
Because it is dark.
If there WAS just a single eps that seperated ALL unit fractions, then the could be no more than 1/eps unit fractions,
But there is not even an eps that separates half of all unit fractions.
Regards, WM
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