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ChristianKl comments on Consistent extrapolated beliefs about math? - Less Wrong Discussion
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Generally there's a belief that there an infinitive amount of integers but we don't believe that there something like an infinitive amount of marbles.
Okay. If I want to know something about marbles and someone begins invoking infinities, that raises a yellow flag for me.
If I want to know about the asymptotic behavior of an algorithm, then no such flag is raised.
I think you meant to say "We don't believe that there are infinite different amounts of marbles", since the amount of marbles in an infinite amount of marbles isn't even described by an integer.