Melatonin@lemmy.dbzer0.com to Asklemmy@lemmy.ml · edit-22 months agoSince Pi is infinite and non-repeating, would that mean any finite sequence of non-repeating numbers should appear somewhere in Pi?message-squaremessage-square95fedilinkarrow-up1225arrow-down13file-text
arrow-up1222arrow-down1message-squareSince Pi is infinite and non-repeating, would that mean any finite sequence of non-repeating numbers should appear somewhere in Pi?Melatonin@lemmy.dbzer0.com to Asklemmy@lemmy.ml · edit-22 months agomessage-square95fedilinkfile-text
minus-squareProfessorScience@lemmy.worldlinkfedilinkEnglisharrow-up15·2 months agoRare in this context is a question of density. There are infinitely many integers within the real numbers, for example, but there are far more non-integers than integers. So integers are more rare within the real.
minus-squareUltraviolet@lemmy.worldlinkfedilinkEnglisharrow-up2·2 months agoYes. The exceptions are a smaller cardinality of infinity than the set of all real numbers.
Exceptions are infinite. Is that rare?
Rare in this context is a question of density. There are infinitely many integers within the real numbers, for example, but there are far more non-integers than integers. So integers are more rare within the real.
Yes. The exceptions are a smaller cardinality of infinity than the set of all real numbers.