• Re: E c N

    From joes@21:1/5 to All on Tue Oct 22 20:24:49 2024
    Am Tue, 22 Oct 2024 18:12:44 +0200 schrieb WM:
    On 22.10.2024 18:03, Jim Burns wrote:
    On 10/22/2024 4:13 AM, WM wrote:

    ℕ is defined such that n ∈ ℕ  ⇔  ∃{0,1,...,n-1,n}
    Most of all it is an invariable set with all its elements existing and subject to doubling.

    ∀n ∈ ℕ:  2×n ∈ ℕ
    Not if all elements are existing before multiplication already.
    WAT. *Especially* if all elements exist those are in there.

    --
    Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
    It is not guaranteed that n+1 exists for every n.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Moebius@21:1/5 to All on Tue Oct 22 22:45:21 2024
    Am 22.10.2024 um 22:24 schrieb joes:
    Am Tue, 22 Oct 2024 18:12:44 +0200 schrieb WM:
    On 22.10.2024 18:03, Jim Burns wrote:

    ∀n ∈ ℕ:  2×n ∈ ℕ

    Not if all elements are existing before multiplication already.

    *Especially* if all elements exist those are in there.

    Indeed! :-)

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)