UnGlasierteGurke@feddit.org to Lemmy Shitpost@lemmy.world · 3 days agoimaginefeddit.orgimagemessage-square51fedilinkarrow-up1312arrow-down17
arrow-up1305arrow-down1imageimaginefeddit.orgUnGlasierteGurke@feddit.org to Lemmy Shitpost@lemmy.world · 3 days agomessage-square51fedilink
minus-squaresuckdings@sh.itjust.workslinkfedilinkEnglisharrow-up7·edit-22 days agoSame as the cardinality of all reals. In fact, the cardinality of the set of all reals between 0 and 1 is the same as the cardinality of the set of all reals. https://en.wikipedia.org/wiki/Cardinality_of_the_continuum#Sets_with_cardinality_of_the_continuum Glad you made me look! I hadn’t thought about whether there were sets with cardinality greater than the cardinality of the continuum. https://en.wikipedia.org/wiki/Cardinality_of_the_continuum#Sets_with_greater_cardinality
What about all reals > 0?
Same as the cardinality of all reals. In fact, the cardinality of the set of all reals between 0 and 1 is the same as the cardinality of the set of all reals. https://en.wikipedia.org/wiki/Cardinality_of_the_continuum#Sets_with_cardinality_of_the_continuum
Glad you made me look! I hadn’t thought about whether there were sets with cardinality greater than the cardinality of the continuum. https://en.wikipedia.org/wiki/Cardinality_of_the_continuum#Sets_with_greater_cardinality