Sujet : Re: Replacement of Cardinality
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.logic sci.mathDate : 05. Aug 2024, 20:17:42
Autres entêtes
Organisation : Nemoweb
Message-ID : <mB5ikUbKQf-Fx98xIcTvXuo5TkE@jntp>
References : 1 2 3 4 5 6 7 8 9 10
User-Agent : Nemo/0.999a
Le 04/08/2024 à 22:48, Moebius a écrit :
Am 04.08.2024 um 22:16 schrieb Jim Burns:
On 8/4/2024 2:13 PM, WM wrote:
[...] two claims which are
not both true or both false:
For every x there is u < x.
There is u < x for every x.
BEIDE Aussagen werden selbstverständlich wie folgt formalisiert:
∀x ∃u u < x .
No.
∀x ∈ ℝ, ∀u ∈ 1/ℕ, ∃^NUF(x) u, ∀y >= x: u < y.
NUF(x) = n is given. The interval (0, x) containing n unit fractions is asked for.
Regards, WM