The documentary "Dangerous Knowledge" About Cantor and others does a good job running though infinities. Yes, plural infinity, as there are many of them and you can divide and multiply and add and subtract in them. No wonder the concept made people go mad thinking about it, and made the mad flip back over to sane.
I once worked for a science research company. There was a mathematician there who, when he had a big problem to solve who would come out into that hall and walk up and down frantically mumbling to himself. I worried about him.
As for dividing by 0, I still say you can. What you can't divide by is "nothing" because the 0 has then become something. Infinity. Of course, that opens the question of multiplying it back. I think that works. Off to do some more 'pondering. Another infinity?
Edited by hazelm, 09 September 2019 - 05:42 AM.