[FRIAM] better simulating actual FriAM

David Eric Smith desmith at santafe.edu
Mon Jul 20 20:18:13 EDT 2020


Wanted to reply to Glen’s reading below, which is also the way I see it.

I don’t worry about keeping track of signs and factors of 2 in drafting-stages of these conversations; that is a tedious chore to be done later if one thinks there is something to say that warrants it.

But if one did want to keep track of signs, I think in several sentences below where Glen is talking about the presence of limitations’ reducing the allowed variability in some distribution, we could say we use one or another _entropy_ measure to quantify the reduction in likely variability.  To the extent that one tries to characterize _information_ as Shannon did — a measure of how much ambiguity in a sample is reduced by having some bit of knowledge that rules out variations — then the reductions in entropy of the constrained ensemble relative to its prior would be called a gain of information in moving to the posterior from the prior.  So without worrying about the zero-point for either of these measures, or their resulting absolute signs, in many settings one would talk of the change of information’s being positive when the change of the corresponding entropy is negative.

Best,

Eric



> On Jul 21, 2020, at 12:32 AM, uǝlƃ ↙↙↙ <gepropella at gmail.com> wrote:
> 
> I don't know quite how to parse this. By "original gen-phen distinction", do you simply mean DNA->RNA? What do you mean by "original"? And would reverse transcription imply information flow from phen to gen?
> 
> FWIW, when I talk about downward causation, I'm not assuming irreducible phenomena (strong emergentism). Mostly, I think of landscape change. Just to prove I am reading it [⍢], I'll cite EricS' (and Morowitz') hierarchy of matter phases, wherein as the temperature goes down, prior freezes set the context for what *could* be the case for future freezes. That's a macro thing constraining the micro thing. It doesn't seem so much to me like "information traveling" as limited freedom ... a weak kind of forcing structure. But if we talk in terms of variability/uncertainty/wiggle, then it sounds a bit like a *loss* of information. Downward causation from macro to micro might map well to a reduction in the information content of the micro. There would have to be some transient, though. Before the macro constraints were strong enough, the information content was high. After they are strong enough, the micro content is lower. Is a reduction in information, itself, information? 2nd order information?
> 
> 
> [⍢] [In]Comprehension notwithstanding.
> 
> On 7/17/20 5:35 PM, thompnickson2 at gmail.com wrote:
>> Notice, FWIW, that the original gen-phen distinction was understood to forbid  any information traveling from phen to gen.
> 
> -- 
> ↙↙↙ uǝlƃ
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