Putting a set into supposed 1:1 correspondence with the natural numbers does not prove that both sets have the same “size” (cardinality). It is a circular argument for those who first believe that infinities have the same size. I made a simple little problem out of it to show the circularity:
Putting a set into supposed 1:1 correspondence with the natural numbers does not prove that both sets have the same “size” (cardinality). It is a circular argument for those who first believe that infinities have the same size. I made a simple little problem out of it to show the circularity: