Re: 2N=E

Am 24.10.2024 um 16:37 schrieb Moebius:

Am 24.10.2024 um 16:32 schrieb Moebius:

Am 24.10.2024 um 15:59 schrieb joes:

Am Thu, 24 Oct 2024 15:49:48 +0200 schrieb WM:

>

The [fact] of always even greater ones in [the set of] natural numbers proves
potential infinity.

>
Nonsense. It proves _actual_ infinity.

 Hint: For any nonempty set of natural numbers M:
           M is infinite iff for each and every element m in M there's an element m' in M such that m' > m.
 (Note that sets don't change.)

The following approach concerning "|-symbols" might be considered a "representation" of "potential infinity":
        Rule 1: We may construct the |-symbol |.
        Rule 2: Given any |-symbol we may construct an |-symbol
                consisting of the given |-symbol followed by |.
        Rule 3: All |-symbols have to be constructed by applying rule 1 and rule 2 (finitely many times).