4 ms·
How can you say that infinities of different sizes are not useful? All of analysis is built on the fact that R is the unique complete ordered field, and therefo
by porb121 5y ago
How can you say that infinities of different sizes are not useful? All of analysis is built on the fact that R is the unique complete ordered field, and therefore uncountable.
And if you want every infinite set to have size continuum, then N (and so Z and Q) break horribly
- btilly 5y agoThe field of constructive analysis would beg to differ with you. An amazing amount of real analysis can be done with absolutely no reference to the excluded middle, completeness axiom, or accepting the existence of uncountable sets.