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rain_worl@lemmy.world ⁨1⁩ ⁨year⁩ ago

consider two sets: set a and set b. both set a and b contain all horses, ane nothing else. they are always equivalent.

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very_well_lost@lemmy.world ⁨1⁩ ⁨year⁩ ago
But how can set b contain all of the horses if they’re already in set a???

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steventhedev@lemmy.world ⁨1⁩ ⁨year⁩ ago
Gotcha. So all horses are purple?

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yesman@lemmy.world ⁨1⁩ ⁨year⁩ ago
Sure, but does the set of all sets that don’t include themselves include itself?

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- yetAnotherUser@discuss.tchncs.de ⁨1⁩ ⁨year⁩ ago
  Easy. If and only if the integer sequence A053169 contains itself.
  
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- Enkers@sh.itjust.works ⁨1⁩ ⁨year⁩ ago
  Yesn’t.
  
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