Sujet : Re: Incompleteness of Cantor's enumeration of the rational numbers
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.logicDate : 14. Dec 2024, 09:42:37
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vjjgds$3tvsg$2@dont-email.me>
References : 1 2 3 4 5 6
User-Agent : Mozilla Thunderbird
On 14.12.2024 09:30, Mikko wrote:
On 2024-12-13 10:28:44 +0000, WM said:
On 13.12.2024 10:46, Mikko wrote:
>
Between any two intervals there is space and that space contains other
intervals.
>
No. Starting from a point in the complement the cursor will hit a first interval. This is true for all visible intervals.
False. From a point that is not a part of an interval no interval is the
nearest one because another interval is nearer.
IF ALL intervals and their endpoints are existing as invariable points on the real line this cannot happen. In potential infinity however between any two points new intervals come into being.
Regards, WM
…