Owl [he/him]@hexbear.net to traingang@hexbear.netEnglish · 10 months agoxkcd falls for "just one more lane"hexbear.netimagemessage-square18fedilinkarrow-up18arrow-down10file-text
arrow-up18arrow-down1imagexkcd falls for "just one more lane"hexbear.netOwl [he/him]@hexbear.net to traingang@hexbear.netEnglish · 10 months agomessage-square18fedilinkfile-text
minus-squaredat_math [they/them]@hexbear.netlinkfedilinkEnglisharrow-up1·edit-210 months agoIt’s okay. The Real numbers are dense (within the real numbers), so no matter how many branches we make, we’ll always have just as many real numbers jammed arbitrarily close together on all branches!
minus-squareOwl [he/him]@hexbear.netOPlinkfedilinkEnglisharrow-up1·10 months agoBut what if we add one branch for each subset of the set of all real numbers.
minus-squaredat_math [they/them]@hexbear.netlinkfedilinkEnglisharrow-up1·10 months agooops! all branches! Why can’t I hold all these continuua?!
It’s okay. The Real numbers are dense (within the real numbers), so no matter how many branches we make, we’ll always have just as many real numbers jammed arbitrarily close together on all branches!
But what if we add one branch for each subset of the set of all real numbers.
oops! all branches!
Why can’t I hold all these continuua?!