Re: The non-existence of "dark numbers"

Liste des GroupesRevenir à s math 
Sujet : Re: The non-existence of "dark numbers"
De : invalid (at) *nospam* example.invalid (Moebius)
Groupes : sci.math
Date : 18. Mar 2025, 19:12:03
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vrcd1j$310vm$1@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
User-Agent : Mozilla Thunderbird
Am 18.03.2025 um 17:14 schrieb Alan Mackenzie:
WM <wolfgang.mueckenheim@tha.de> wrote:
On 18.03.2025 12:57, Alan Mackenzie wrote:
WM <wolfgang.mueckenheim@tha.de> wrote:
 
The set of FISONs is an inductive set. But it is not ℕ because <bla bla bla>
Mückenheim, ich weiß nicht, wie oft man es Dir schon erklärt hat, aber wenn die natürlichen Zahlen bzw. IN nach von Neumann definiert sind (was heute "Standard" ist), *ist* IN gleich the set of FISONs.
Hint: IN = {{}, {{}}, {{}, {{}}}, ...} = {{}, {0}, {0, 1}, ...} = {F : F is a FISON} = the_set_of_FISONs.

That "because" doesn't hold
Indeed! Especially, since his claim ("the set of FISONs is not ℕ") is wrong in the context of ZF(C) [with IN defined due to von Neumann].

Because you say so? That's not significant.
Nein, Mückenheim. Sondern, weil es so ist. (Siehe Erklärung weiter oben.) It seems that you are just too dumb to get it.

There's no connection between the bit before the because and the bit
afterwards.  You're the one who's lacking a degree in maths, not me, and
it shows.
Indeed!

Even if you can't understand the correct argument, ....
*lol*

Date Sujet#  Auteur
12 Mar 25 * The existence of dark numbers proven by the thinned out harmonic series451WM
12 Mar 25 `* Re: The existence of dark numbers proven by the thinned out harmonic series450Alan Mackenzie
12 Mar 25  `* Re: The existence of dark numbers proven by the thinned out harmonic series449WM
12 Mar 25   `* The non-existence of "dark numbers" [was: The existence of dark numbers proven by the thinned out harmonic series]448Alan Mackenzie
12 Mar 25    +* Re: The non-existence of "dark numbers" [was: The existence of dark numbers proven by the thinned out harmonic series]444WM
12 Mar 25    i+* Re: The non-existence of "dark numbers"414Alan Mackenzie
12 Mar 25    ii`* Re: The non-existence of "dark numbers"413WM
12 Mar 25    ii `* Re: The non-existence of "dark numbers"412Alan Mackenzie
12 Mar 25    ii  +* Re: The non-existence of "dark numbers"6Moebius
13 Mar 25    ii  i+- Re: The non-existence of "dark numbers"1WM
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