Sujet : Re: Replacement of Cardinality
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.logic sci.mathDate : 11. Aug 2024, 13:29:13
Autres entêtes
Organisation : Nemoweb
Message-ID : <RCAlRuRy_RKB_tYItKJs7fNcIs0@jntp>
References : 1 2 3 4 5 6 7 8 9 10
User-Agent : Nemo/0.999a
Le 10/08/2024 à 19:28, Jim Burns a écrit :
On 8/10/2024 11:54 AM, WM wrote:
Le 09/08/2024 à 02:32, Jim Burns a écrit :
Surely, a lawyer wouldn't think that
"Boom! Here's the conclusion"
is an _argument_ ?
>
∀n ∈ ℕ: 1/n - 1/(n+1) > 0
If an interval contains unit fractions, then it contains a first one.
Therefore there can only be a single first unit fraction.
No one has said there are two first unit.fractions.
What forbids zero first unit.fractions?
The existence of unit frations enforces one or more first unit fractions.
What causes an exception: nₓ ∈ ℕ without ⅟(nₓ+1) ?
The end of the positivee axis.
Regards, WM
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