fossilesque@mander.xyzM to Science Memes@mander.xyzEnglish · 15 days agoEquinunerous Setsmander.xyzimagemessage-square10fedilinkarrow-up1144
arrow-up1144imageEquinunerous Setsmander.xyzfossilesque@mander.xyzM to Science Memes@mander.xyzEnglish · 15 days agomessage-square10fedilink
minus-squarerain_worl@lemmy.worldlinkfedilinkEnglisharrow-up12·15 days agoconsider two sets: set a and set b. both set a and b contain all horses, ane nothing else. they are always equivalent.
minus-squareyesman@lemmy.worldlinkfedilinkEnglisharrow-up7·15 days agoSure, but does the set of all sets that don’t include themselves include itself?
minus-squareyetAnotherUser@discuss.tchncs.delinkfedilinkEnglisharrow-up4·edit-215 days agoEasy. If and only if the integer sequence A053169 contains the number 53169
minus-squarevery_well_lost@lemmy.worldlinkfedilinkEnglisharrow-up4·15 days agoBut how can set b contain all of the horses if they’re already in set a???
minus-squaresteventhedev@lemmy.worldlinkfedilinkEnglisharrow-up4·15 days agoGotcha. So all horses are purple?
consider two sets: set a and set b. both set a and b contain all horses, ane nothing else. they are always equivalent.
Sure, but does the set of all sets that don’t include themselves include itself?
Easy. If and only if the integer sequence A053169 contains the number 53169
But how can set b contain all of the horses if they’re already in set a???
Gotcha. So all horses are purple?