rscky1@lemmy.world to Showerthoughts@lemmy.world · 11 months agoThey say in an infinite multiverse versions of you exist. Yet there's an infinity of fractional numbers between 1 and 2 with no whole number 3 between, so infinity can exist without every possibility.message-squaremessage-square72fedilinkarrow-up1174arrow-down154
arrow-up1120arrow-down1message-squareThey say in an infinite multiverse versions of you exist. Yet there's an infinity of fractional numbers between 1 and 2 with no whole number 3 between, so infinity can exist without every possibility.rscky1@lemmy.world to Showerthoughts@lemmy.world · 11 months agomessage-square72fedilink
minus-squareleftzero@lemmy.mllinkfedilinkarrow-up36·edit-211 months agoThe set of all integers is not larger than the set of all odd integers. The set of all real numbers, on the other hand, is. https://en.m.wikipedia.org/wiki/Cardinality_of_the_continuum
minus-squarevexikronlinkfedilinkarrow-up5arrow-down1·11 months agoAh, you are correct, my example was flawed. Thats what /I/ get for not having brushed up on Set Theory 101 in a decade. Derp.
The set of all integers is not larger than the set of all odd integers.
The set of all real numbers, on the other hand, is.
https://en.m.wikipedia.org/wiki/Cardinality_of_the_continuum
Ah, you are correct, my example was flawed.
Thats what /I/ get for not having brushed up on Set Theory 101 in a decade.
Derp.