Sujet : Re: Replacement of Cardinality
De : james.g.burns (at) *nospam* att.net (Jim Burns)
Groupes : sci.logic sci.mathDate : 10. Aug 2024, 19:39:46
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <7490d737-bfd0-431e-862b-2f06ead37c90@att.net>
References : 1 2 3 4 5 6 7 8 9 10 11
User-Agent : Mozilla Thunderbird
On 8/10/2024 11:59 AM, WM wrote:
Le 09/08/2024 à 05:34, Jim Burns a écrit :
and he thinks that
a set ordered with two ends is
more complete than
the same set with one or zero ends.
>
The set of unit fractions has two ends,
namely at 1 and before 0.
No.
1 is the largest unit.fraction.
1 is an end.
∀n ∈ ℕ: ⅟n - ⅟(n+1) > 0
∀n ∈ ℕ: ⅟n is not a second end.
No unit fraction is a second end.
The set of unit fractions has only one end.