Joe Niederberger posted Jun 17, 2013 11:53 PM: > R Hansen: > >>It is the process that takes place after the rules <snip> > > Joe N reterts: > >Perhaps reading the dictionary definition or even <snip> > I shouldn't be so glib. I apologize. Certainly anyone <snip> > But thinking through a math problem in terms of > mental imagery is no less abstract, and in the same > sense. > I agree entirely! I believe this thought goes to the heart of most of the arguments relating to 'mental imagery' that we've seen here. > >But how can I say that, when I've already > agreed with Parnas the "more abstract than" is a less > than useful concept? > I look forward to reading some works of David Parnas, and shall probably have some remarks in due course. > > I remember how I solved the old chestnut "what is > greater, e^pi or pi^e?" I did it "in my head" without > paper while walking my dog. Basically through > examining curves in my imagination, plus a few > elementary facts. > Very nice indeed.