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Le 28/06/2024 à 02:03, Richard Damon a écrit :

> As was saidd, Cardinatality of infinte sets work differently than that 
> of finite sets.

Here is no cardinality asked for.

A non-terminating digit sequence does not determine a real number.

The limit of a strictly monotonic sequence is not among its terms. 

The same distinction has to be observed with series. There must not be a 
difference in the mathematical contents whether the partial sums are 
written separately like

	3, 3.1, 3.14, 3.141, 3.1415, ...							(11.1)

or are written in one line with interruptions

	(((((3.)1)4)1)5)...									(11.2)

or without interruptions

	3.1415... .										(11.3)

Regards, WM