It's very simple to show that infinite sets are not atl the same size — Janus

A misuse of the word "size".

A misuse of the word "size". — jgill

So, you disagree with Cantor?

And yet, in transfinite math, all the sets you mentioned are the same "size" (the same cardinality).

I am not a mathematician, so no doubt there is something here I am not understanding. Apparently, Cantor has shown that infinities come in different sizes, and it seems logical to me that the set of whole numbers is greater than the set of even or odd numbers. Of course I could be mistaken. If you think I am, can you explain my mistake?

Read this post: https://thephilosophyforum.com/discussion/comment/962312

If you want more details on the math, read this post: https://thephilosophyforum.com/discussion/comment/962884

:ok: