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Mathematics
Set Theory, Logic, Probability, Statistics
Is there a "smallest" infinite subset of the naturals?
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[QUOTE="willem2, post: 6856724, member: 200209"] And if the original points, are the powers of two, the new points will also be the powers of two, except for the single number 1. This set is apparently equally sparse by Jordi's definition. Of course, using the odd-numbered powers of two will work. Of course, even the powers of two aren't scratching the surface of the sparse sets. A faster growing function will produce a sparser set, and there are many examples of those: factorials, iterated factorials, non primitive recurse, non- computable functions etc. [URL]https://en.wikipedia.org/wiki/Fast-growing_hierarchy[/URL] [/QUOTE]
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Is there a "smallest" infinite subset of the naturals?
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