R Hansen tries attempts gambit: >I guess I should have been more specific. I meant to say that the other 9 pictures also relate those quantities, but not in a way that would make an argument that e^pi is greater than pi^e.
Oh! Please show me those 9 OTHER pictures!
(Or, in my paranoid conspiracy theory moments, might I suspect Robert may come up with 9 non-nonsensical pics and only one that rings true, just to prove his point?)
Stop right there, mister! Suppose I ask you you to picture a nice 5 dresser drawer Chippendale cabinet, made of walnut. Will you call up in your mind's eye a hairy amoeba?
No? Well, it must be your FURNITURE SENSE, not your ability to visualize, that guides you. And so on and on and on. We humans must have 100,000 senses informing our ability to visualize.
Or maybe vision is a fundamental sense that factors into much of our thinking. Fundamental sense belonging to perhaps the majority of humans, by virtue of their genetic inheritance, and grounding our thought processes. The ability to picture a Chippendale dresser drawer, or a picture relating pi, ln(pi) and 1/e, not so. To suppose the two are at all alike, is a category error.