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Le 29/06/2024 à 20:01, Jim Burns a écrit :(0.999...) = 1 in base ten. Got it?
However,We can reason about ℵo nines, all missing the limit.
we can reason about Avogadroᴬᵛᵒᵍᵃᵈʳᵒ 9s
by finite not.first.false claim.sequence
without going to them.>But most matheologians don't understand that the sequence
It's the same for infinitely.many 9s in that
we can't go to them, but
we can reason about them.
0.9, 0.09, 0.009, ... contains ℵo nines without containing the limit 0.
ButIf you think straight, then only one conclusion follows: 0.999... < 1.
'infinite' is different from 'humongous' and
different conclusions get concluded.
And Bob does not disappear.
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