this post was submitted on 18 Oct 2024
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Science Memes

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Equinunerous Sets (mander.xyz)
submitted 4 weeks ago by fossilesque@mander.xyz to c/science_memes@mander.xyz
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[–] rain_worl@lemmy.world 13 points 4 weeks ago (4 children)

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

[–] yesman@lemmy.world 10 points 4 weeks ago (2 children)

Sure, but does the set of all sets that don't include themselves include itself?

[–] yetAnotherUser@discuss.tchncs.de 5 points 4 weeks ago* (last edited 4 weeks ago)

Easy. If and only if the integer sequence A053169 contains the number 53169

[–] match@pawb.social 6 points 4 weeks ago

set a contains all horses. set b contains all ponysonas

[–] steventhedev@lemmy.world 4 points 4 weeks ago

Gotcha. So all horses are purple?

[–] very_well_lost@lemmy.world 3 points 4 weeks ago

But how can set b contain all of the horses if they're already in set a???