Silverchase@sh.itjust.works to Math Memes@lemmy.blahaj.zoneEnglish · 2 months agoMost math students rejected His message.sh.itjust.worksimagemessage-square7fedilinkarrow-up1124
arrow-up1124imageMost math students rejected His message.sh.itjust.worksSilverchase@sh.itjust.works to Math Memes@lemmy.blahaj.zoneEnglish · 2 months agomessage-square7fedilink
minus-squarethreelonmusketeers@sh.itjust.workslinkfedilinkEnglisharrow-up9·2 months agoBy that logic, wouldn’t “every unicorn is my house enjoys tea” also be *true*, because the negated “at least one unicorn in my house dislikes tea” can’t be proven?
minus-squareyetAnotherUser@discuss.tchncs.delinkfedilinkEnglisharrow-up7·edit-22 months agoYes, that’s also true. The empty set is the only set for which every element has property A and doesn’t have property A simultaneously. For example: If the Eiffel Tower is on the Moon, then 1=2 and 1≠2.
By that logic, wouldn’t “every unicorn is my house enjoys tea” also be *true*, because the negated “at least one unicorn in my house dislikes tea” can’t be proven?
Yes, that’s also true. The empty set is the only set for which every element has property A and doesn’t have property A simultaneously.
For example:
If the Eiffel Tower is on the Moon, then 1=2 and 1≠2.