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1. tzs+x17[view] [source] 2023-11-28 01:52:09
>>tromp+(OP)
I have no idea offhand how this compares to any of those, but my try would be 0xf090a8802dcf8900, which when interpreted as a UTF-8 encoded C style string is ๐ก€-ฯ‰, which is the supremum of the set {Aโ‚€, Aโ‚, Aโ‚‚, ...} (Pretend all those 'A's are '๐ก€'s, because I couldn't figure out how to get a subscript to the right of an ๐ก€. The ๐ก€ symbol is from a right-to-left alphabet and whenever I'd try to add a subscript it would get moved to the left!).

If ๐ก€-ฯ‰ is too cheesy, my try would be 0xf090a880e2828900, which is ๐ก€ subscript 9.

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2. tromp+XC7[view] [source] 2023-11-28 08:33:42
>>tzs+x17
Can you explain what these Aโ‚€, Aโ‚, Aโ‚‚, ... are, and how their supremum is a finite number?
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3. tzs+ttb[view] [source] 2023-11-29 12:08:03
>>tromp+XC7
Oh, I didn't realize we were only doing finite numbers. I had thought we just needed numbers that.

The A's are the aleph numbers, just using A instead of ๐ก€ because I don't know how to put a subscript on the right side of an ๐ก€.

They are the cardinalities of well-ordered infinite sets. Aleph-0 is the cardinality of the natural numbers, aleph-1 is the cardinality of the smallest infinite set that is larger than the natural numbers, and it goes on from there.

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4. tromp+3Rf[view] [source] 2023-11-30 16:12:36
>>tzs+ttb
Yeah; I was doing finite numbers. Sorry if that wasn't clear.
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