Sujet : Re: Replacement of Cardinality
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.mathDate : 15. Aug 2024, 14:49:41
Autres entêtes
Organisation : Nemoweb
Message-ID : <DUQVOnY5B6AlHnMrBY-Nxvjko8U@jntp>
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User-Agent : Nemo/0.999a
Le 14/08/2024 à 15:43, joes a écrit :
Am Wed, 14 Aug 2024 12:26:27 +0000 schrieb WM:
Numbers can be seen.
What is "seeing"?
Recognize the value.
But then (again by
definition) 1/(n0 + 1) is a unit fraction which is smaller than u0 and
hence smaller than x0. Hence NUF(x0) > 1. Contradiction!
Therefore 1/(n0 + 1) does not exist.
That's one way to resolve it.
There is no other way.
But how do you do mathematics without that
axiom?
Mathematics on done in potential infinity. there the axiom is true.
Regards, WM
Re: Replacement of Cardinality