4 ms·
The cardinality of Real numbers is 2^Aleph_Null. Continuum hypothesis is equivalent to saying that it is equal to Aleph_One. But that is debated :) [Debated in
by brobdingnagians 5y ago
The cardinality of Real numbers is 2^Aleph_Null. Continuum hypothesis is equivalent to saying that it is equal to Aleph_One. But that is debated :) [Debated in the sense that you could accept one or the other, but it is independent of ZF and there should be a good reason to accept one or the other]
https://en.wikipedia.org/wiki/Aleph_number#Aleph-one https://en.wikipedia.org/wiki/Aleph_number#Aleph-one
- guerrilla 5y ago> but it is independent of ZF Yeah, if I recall that's why forcing was invented, to specifically prove that C and CH were independent of ZF. Yeah: [1] 1. https://en.wikipedia.org/wiki/Paul_Cohen#Continuum_hypothesis https://en.wikipedia.org/wiki/Paul_Cohen#Continuum_hypothesi...