Translation invariance

[Contra]

Translation invariance is fundamental to every scientific theory. About 50 % of all positive rational numbers of Cantor's enumeration however lie in the first unit interval between 0 and 1. This persists also "in the infinite", i.e., beyond every definable index, as the construction of Cantor's (map m/n on n/m) and every other "successful" enumeration shows. All those who believe that Cantor enumerates all positive rationals therefore must agree that almost half of them are smaller than 1. Does anybody believe this? Does anybody believe that there are less than 1 % of the rationals of the first unit interval in the 1000th unit interval?

 

Regards, WM

[Heinrich]

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