fossilesque@mander.xyz to Science Memes@mander.xyzEnglish · 2 years agoEquinunerous Setsmander.xyzexternal-linkmessage-square17linkfedilinkarrow-up1223arrow-down15
arrow-up1218arrow-down1external-linkEquinunerous Setsmander.xyzfossilesque@mander.xyz to Science Memes@mander.xyzEnglish · 2 years agomessage-square17linkfedilink
minus-squareRain World: Slugcat Game@lemmy.worldlinkfedilinkEnglisharrow-up13·2 years 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-down1·2 years agoSure, but does the set of all sets that don’t include themselves include itself?
minus-squareyetAnotherUser@discuss.tchncs.delinkfedilinkEnglisharrow-up5·2 years agoEasy. If and only if the integer sequence A053169 contains the number 53169
minus-squareMatch!!@pawb.sociallinkfedilinkEnglisharrow-up6·2 years agoset a contains all horses. set b contains all ponysonas
minus-squaresteventhedev@lemmy.worldlinkfedilinkEnglisharrow-up4·2 years agoGotcha. So all horses are purple?
minus-squarevery_well_lost@lemmy.worldlinkfedilinkEnglisharrow-up4arrow-down1·2 years 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???