User blog comment:Edwin Shade/A Question Concerning Cardinal Infinities/@comment-24920136-20171025011457/@comment-32876686-20171025022408

But even if you can't create a map from one set to another, does that explicitly imply one set must be bigger than another ?

All that has been proven is that one set can not be mapped to another, but if both are endless then both are the same size, right ?