Silverchase@sh.itjust.works to Math Memes@lemmy.blahaj.zoneEnglish · 9 days agoMost math students rejected His message.sh.itjust.worksimagemessage-square6fedilinkarrow-up1124arrow-down11
arrow-up1123arrow-down1imageMost math students rejected His message.sh.itjust.worksSilverchase@sh.itjust.works to Math Memes@lemmy.blahaj.zoneEnglish · 9 days agomessage-square6fedilink
minus-squarethreelonmusketeers@sh.itjust.workslinkfedilinkEnglisharrow-up8·9 days 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-29 days 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.