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Re: Metabolic closure in (M,R)-systems



Hey Athel,
 
You wrote...
 
    Unfortunately that is not how science advances -- it doesn't happen
in little semi-private discussions between like-minded individuals,
but in the public literature. People will not come to you: you have
to expose your views to public scrutiny, even to public ridicule, by
publishing them in publicly available journals.
 
Ah Athel, where is your proper sense of romance?  To me, this is like denying inspiration to the scientific endeavor.  Yet we know that inspiration happens.  Not necessarily falling apples, but I imagine often in conversations between individuals like-minded enough to want to seek a greater understanding.  As Dan has aptly said, most of us here are probably seekers.  In fact I'm hoping that you will inspire ME.
 
I don't suppose that while you're here that you could try and help clarify for me the nature of (M,R)-systems as you and perhaps Juan-Carlos Letelier view them could you?  Tim has kindly tried to show me the distinction between an analytic equation and an algebraic relation, and this seems to me like a doorway of sorts.  What is an evaluation mapping?  What is an evaluation mapping having the property of being invertible?
 
If you could try and help me on any or all of these things, I would be most appreciative.  I still think that (M,R)-systems are very important to try and understand in as many different ways as possible, a sentiment Letelier, you, and your associates seem to agree with.  I'm glad that you have joined the conversation.
 
 
David