Sujet : Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.mathDate : 30. Dec 2024, 22:53:38
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vkv4p3$1qhgq$1@dont-email.me>
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User-Agent : Mozilla Thunderbird
On 30.12.2024 21:28, joes wrote:
Am Mon, 30 Dec 2024 09:40:11 +0100 schrieb WM:
FISONs do not grow by unioning them. All FISONs and their unions stay
below 1 % of ℕ.
Even better, they are finite (but they do grow).
They do grow but will never surpass 1 % of ℕ.
Proof: Every FISON that is multiplied by 100 remains a FISON that can be
multiplied by 100 without changing this property.
Do you mean the set of numbers less than 100n? I thought you didn’t
believe in the closure of N under multiplication.
The collection of natural numbers is closed under multiplication.In fact it will ever reach let alone surpass any definable fraction of ℕ.
Regards, WM
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