Michael De Villiers says: >Apart from geometry not fitting the premise of the original poster,
Donald Slauter said: "that all of math, at all levels, involves nothing more than those simple operations."
"all of math" seemed pretty clear in the original premise -- how does Geometry rate an exception?
Moving on, it is well known that formal logic involves the exploration of formal systems that can be automated (all the allowed moves can be computed.) Even when exploring inherently non-computable operations, such as operations on arbitrary real numbers, the logical operations employed are typically computable.
The only question that remains difficult, is whether humans do things mathematical things with their minds that are non-computational in fact or principle. Kirby has mentioned more than once a formula for pi from Ramanujan that he says is evidence that the mind can do non-computable tings. Others have pointed to Gödelian Incompleteness as serving the same purpose. Roger Penrose wrote on book on it, "The Emporer's New Mind".
So, those are a couple of people "taking issue". I find neither of them conclusive. Do you have any issues to raise?