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From: WM <wolfgang.mueckenheim@tha.de>
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Le 18/06/2024 à 02:04, Jim Burns a écrit :

>> So _different_ unit fractions
>> CAN'T BE "at the same coordinate"
>> (i.e. equal to the same real number).
> 
> Yes.
> However, WM gives 'fraction' and 'rational'
> different meanings.
> 1/2 2/4 3/6 4/8 ...
> are all different _fractions_ corresponding to
> the same _rational_ at the same point.

But unit fractions are unique as real numbers.
> 
> _As rationals_
> whatever we can say about 1/2
> we can say about 2/4
> Conventionally. By definition.

Yes.
> 
> _As fractions_
> in Cantor's sequence,
> the index of 1/2 is 2
> the index of 2/4 is 12
> We can say different things.

Yes.

Regards, WM