Richard,
People already may be tired of my "analogies", but I can't resist from introducing them wherever and whenever I can. Like Banquo, thoughts appear at the at the oddest moments, not when we try to summon them.
With that no-apology apology, I like to say that your essay is a banquet of ideas that need days for us mortals to digest. But I do not worry because people like E. E. Klingman and the two Vladimirs (you know who they are!) have done a thorough job of analytically rigorous reviews, which clarify and enlighten us further.
There is very little for us to say more, and yet I have a few things left to say. Bear with me if you heard it before.
A major aim of my essay is to remind people that analogy and its bretheren automatic ( therefore unconscious) thought processes are as valuable as conscious rational thought processes, which often in this day and age usually come dressed with the armors of logic and math. As I said in my essay, analogy is the flag ship of rationality. As quantum is to classical or as wave is to particle, they are inseparable elements of thoughts. We may argue how they are paired, but the pairing itself cannot be doubted. As mind is to body.
Analogy is our theory of everything (TOE), because fundamentally it is all about sameness, (about the wholeness), and rationality is fundamentally about differences (about the parts), and we must have been talking about it since the days we have the language for it. We now have the mathematical and physical languages to talk about it more precisely and accurately.
I can't help noticing that the theme running through our essays and commentaries is of unity in diversity, and my heart is glad when I was recognized as part of the fraternity.
Feynman might well be applauding at our mutual admiration society!
All the Best,
Than Tin