Re: Replacement of Cardinality

On 8/19/2024 10:17 AM, Moebius wrote:

Am 19.08.2024 um 18:58 schrieb Jim Burns:
 You got it totally wrong!
 The dark unit fractions are smaller than the (all) visible ones.
 Now: The visible unit fraction don't have a smallest one (of course), but the dark unit fraction do (at least in mückenmath)!
 WM: "Dark unit fractions have a smallest element."
 See?!
 WM: "Visible unit fractions have the [or rather *a*] lower bound 0."
 Right, but the dark unit fractions ARE BETWEEN 0 and all the visible unit fractions.
 See: https://en.wikipedia.org/wiki/Infinitesimal
and: https://en.wikipedia.org/wiki/Hyperreal_number
 WM: "No smaller [dark] unit fractions [than the smallest one] is existing, because no larger [dark] natnumber {than the largest one] is existing."
 Right!

>
Is this one of WM's dark unit fractions:
>
1 / (hyper_really_really_tiny_small)
>
The funny part is that hyper_really_really_tiny_small should really be:
>
hyper_really_really_large
>
lol. What a joke.