Sujet : Re: Replacement of Cardinality
De : FTR (at) *nospam* nomail.afraid.org (FromTheRafters)
Groupes : sci.logic sci.mathDate : 08. Aug 2024, 22:56:23
Autres entêtes
Organisation : Peripheral Visions
Message-ID : <v93eud$9abg$1@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13
User-Agent : MesNews/1.08.06.00-gb
Chris M. Thomasson has brought this to us :
On 8/8/2024 3:30 AM, FromTheRafters wrote:
on 8/8/2024, WM supposed :
Le 08/08/2024 à 00:17, Moebius a écrit :
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Actually, his "thinking process" is simple:
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"Since there is a gap (space) between adjacent unit fractions and all unit fractions are in the interval (0, 1], there must be FINITELY MANY of them (i.e. a first/smallest one)."
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No, that is nonsense. There are not finitely many unit fractions.
Then stop assuming that there is a first and last element.
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The first unit fraction is 1/1, there is no last one...
... or there is a last one but no first one.
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