fossilesque@mander.xyzM to Science Memes@mander.xyzEnglish · 15 days agoEquinunerous Setsmander.xyzimagemessage-square17fedilinkarrow-up1221arrow-down15
arrow-up1216arrow-down1imageEquinunerous Setsmander.xyzfossilesque@mander.xyzM to Science Memes@mander.xyzEnglish · 15 days agomessage-square17fedilink
minus-squarerain_worl@lemmy.worldlinkfedilinkEnglisharrow-up13·15 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-up11arrow-down1·15 days agoSure, but does the set of all sets that don’t include themselves include itself?
minus-squareyetAnotherUser@discuss.tchncs.delinkfedilinkEnglisharrow-up5·edit-215 days agoEasy. If and only if the integer sequence A053169 contains the number 53169
minus-squareMatch!!@pawb.sociallinkfedilinkEnglisharrow-up6·15 days agoset a contains all horses. set b contains all ponysonas
minus-squaresteventhedev@lemmy.worldlinkfedilinkEnglisharrow-up4·15 days agoGotcha. So all horses are purple?
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???
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
Yesn’t.
set a contains all horses. set b contains all ponysonas
Gotcha. So all horses are purple?
But how can set b contain all of the horses if they’re already in set a???