R Hansen says: >Then prove it. Surely you accept that everyone on this list understands to some degree and acknowledges abstract analytical (non visual) thinking. I think the task is up to you to prove that this mysterious non abstract visual thinking exists and is up to the task of mathematics. I have found no evidence of it
Your position is utterly bizarre. There are books and papers written about visualization in mathematics. I don't care how much you want to torture the meaning of the word with your idiosyncratic talk.