@[email protected]M to Science [email protected]English • 12 hours agoEquinunerous Setsmander.xyzimagemessage-square14fedilinkarrow-up1143arrow-down13
arrow-up1140arrow-down1imageEquinunerous Setsmander.xyz@[email protected]M to Science [email protected]English • 12 hours agomessage-square14fedilink
minus-square@rain_worllinkEnglish10•11 hours agoconsider two sets: set a and set b. both set a and b contain all horses, ane nothing else. they are always equivalent.
minus-squareMatch!!linkfedilinkEnglish5•7 hours agoset a contains all horses. set b contains all ponysonas
minus-square@very_well_lostlinkEnglish3•7 hours agoBut how can set b contain all of the horses if they’re already in set a???
minus-square@yesmanlinkEnglish5•10 hours agoSure, but does the set of all sets that don’t include themselves include itself?
minus-square@[email protected]linkfedilinkEnglish1•edit-23 hours agoEasy. If and only if the integer sequence A053169 contains the number 53169
consider two sets: set a and set b. both set a and b contain all horses, ane nothing else. they are always equivalent.
set a contains all horses. set b contains all ponysonas
But how can set b contain all of the horses if they’re already in set a???
Gotcha. So all horses are purple?
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.