Sujet : Re: Log i = 0
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.mathDate : 27. May 2025, 15:50:16
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <1014jf8$2l9jj$3@dont-email.me>
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User-Agent : Mozilla Thunderbird
On 26.05.2025 22:25, efji wrote:
Le 26/05/2025 à 16:36, WM a écrit :
That is wrong. Present mathematics simply assumes that all natural numbers can be used for counting. But that is wrong.
What's the point ?
It is the DEFINITION of "counting". A countable infinite set IS a set equipped with a bijection onto \N.
This bijection does not exist because most natural numbers cannot be distinguished as a simple argument shows.
All natural numbers can be manipulated collectively, for instance subtracted: ℕ \ {1, 2, 3, ...} = { }. Here all have disappeared.
Could all natural numbers be distinguished, then this subtraction could also happen but, caused by the well-order, a last one would disappear.
Regards, WM
Log i = 0
Re: Log i = 0