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Yours statement is like saying that as 1, 11, 111, 1111, 11.111, 111.111 and so on are natural numbers, an infinite string of 1s is a natural number, too: And I hope we can agree that this is a false statement.
 
Yours statement is like saying that as 1, 11, 111, 1111, 11.111, 111.111 and so on are natural numbers, an infinite string of 1s is a natural number, too: And I hope we can agree that this is a false statement.
 
--[[User:AugustO|AugustO]] ([[User talk:AugustO|talk]]) 17:41, July 30, 2021 (EDT)
 
--[[User:AugustO|AugustO]] ([[User talk:AugustO|talk]]) 17:41, July 30, 2021 (EDT)
 +
:Your superb examples demonstrate that if true for "n" significant digits, then one can be found later having "n+1" significant digits.  This reinforces the proof by induction.  I don't see any support for your assertion "that is impossible."  I also don't see any connection to your hypothesis about whether an infinite string of 1s is a "natural number," which is simply a matter of definition.--[[User:Aschlafly|Andy Schlafly]] ([[User talk:Aschlafly|talk]]) 21:30, July 30, 2021 (EDT)
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