fossilesque@mander.xyzM to Science Memes@mander.xyzEnglish · 1 年前Equinunerous Setsmander.xyzexternal-linkmessage-square17linkfedilinkarrow-up1223arrow-down15
arrow-up1218arrow-down1external-linkEquinunerous Setsmander.xyzfossilesque@mander.xyzM to Science Memes@mander.xyzEnglish · 1 年前message-square17linkfedilink
minus-squareRain World: Slugcat Game@lemmy.worldlinkfedilinkEnglisharrow-up13·1 年前consider 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-down1·1 年前Sure, but does the set of all sets that don’t include themselves include itself?
minus-squareyetAnotherUser@discuss.tchncs.delinkfedilinkEnglisharrow-up5·1 年前Easy. If and only if the integer sequence A053169 contains the number 53169
minus-squareMatch!!@pawb.sociallinkfedilinkEnglisharrow-up6·1 年前set a contains all horses. set b contains all ponysonas
minus-squaresteventhedev@lemmy.worldlinkfedilinkEnglisharrow-up4·1 年前Gotcha. So all horses are purple?
minus-squarevery_well_lost@lemmy.worldlinkfedilinkEnglisharrow-up4arrow-down1·1 年前But 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???