> As for those "logical considerations," I mean that > one can develop a hierarchy of definitions that > depend on actual infinity. To say that mathematics > is "logical" is to concede to such a framework. I > do not believe that mathematics is logical at all.
That is a very surprising statement. Why do you think so?
> As for "counting," long before the British transformed > their economic successes into mathematical philosophy, > an Italian mathematician developed *double-entry* bookkeeping.