Sujet : Re: Incompleteness of Cantor's enumeration of the rational numbers
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.mathDate : 16. Dec 2024, 09:48:09
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vjopgb$127dr$1@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13 14
User-Agent : Mozilla Thunderbird
On 15.12.2024 21:35, joes wrote:
Am Sun, 15 Dec 2024 12:12:13 +0100 schrieb WM:
On 15.12.2024 11:51, Mikko wrote:
On 2024-12-14 21:40:48 +0000, WM said:
>
In a geometry where all points exist, all points can be passed.
Yes but none of them can be passed before passing other points.
That contradicts the actual existence of all.
On the contrary. The density of the points prevents passing them.
The ratio of sizes of intervals and distances of intervals is in the average infinite. But all intervals have finite lengths. That means that in fact infinite relative distances must exist. This contradicts the density of intervals at least at some locations. Take a point in such a location as start point for the cursor. Then is hits a first interval. Crash.
Regards, WM
Re: Incompleteness of Cantor's enumeration of the rational numbers
Re: Incompleteness of Cantor's enumeration of the rational numbers