Very nice! I was completely ignorant of that history. If anyone has the full 
Weinberg paper and is willing to send it to me, I'd be grateful. I've managed 
to download the others.

This post should probably stop there, on a pro-social "Thanks!" 8^D But 
Eddington monkey that I am, I'm constitutionally incapable of such. So I  have 
to disagree with only 1 aspect of your post. The point about phenomenal 
Lagrangians, swapping out symmetry for conservation, [re]normalization (in this 
obtuse domain *or* the banal scaling or regularizing of data), etc. is very 
much on topic for the thread.

While SteveS' response to EricC is well done, it isn't adversarial enough for 
me. I wrote an incompetent response arguing something similar to the argument 
that triggered Dave to accuse me of talking like Rupert Sheldrake. In my 
unposted draft, I argue that only identical modelers can produce identical 
models. And the upper bound on accuracy of a model reverse engineered from a 
real artifact is set by the similarity between the original modeler and the one 
doing the reverse engineering. None of that changes the fact that the models 
*must* mismatch the world. (And if you buy Wolpert's argument, if they don't 
mismatch the world, then there's only 1 of them. I.e. they'd be identical. And 
if you buy Robert Rosen's argument from parallax, it would take an infinity of 
reverse engineered models to well-approximate the original model.)

But your salvo, here, does provide us with another option for thinking about 
parallax ... something akin to equivalent efficacy, a way for models to 
nearly-complement each other such that it's justifiable to put blinders on and 
work with the more tractable near-complement when it's useful to do so. This 
echoes and gives pragmatic strength to arguments made by Jon (re: near 
equivalent adjointness) and SteveS' constant reminders about utility.

I still think this focuses too strongly on *duality* rather than plurality, 
though. I'm too ignorant of renormalizable theories in physics to know whether 
there are multiple "complements" amongst which we can flip to and fro, 
searching for the most "natural"/convenient representation, like a dilettante 
programmer choosing a programming language for a given task. We certainly have 
that in the more banal forms of normalization of, say, databases. And that 1st 
page from Weinberg (and the history as you lay it out) seems to indicate there 
are, at least, other/older methods, however sloppy. The flex and slop suggested 
by both SteveS utility and Jon's adjointness *feels* to me like an argument for 
pluralism over mere dualism.

On 12/3/21 4:16 AM, David Eric Smith wrote:
> So what’s left to be irritating enough to deserve comment, on this question, 
> in the Wiki page’s “balance”.  They comment that some people feel that the 
> infinities were “merely an artifact of human ignorance” as opposed to 
> something “real”, or however they put it.
> 
> This, to me, invokes the language people have been bandying about for entropy 
> for decades: is entropy a “real aspect of natural phenomena”, or “merely an 
> artifact of human ignorance”?  (That language is uncalled-for there, too, but 
> that is for other threads, in which my participation is now mercifully dead 
> and buried.)
> 
> That way of saying it isn’t strictly wrong, of course, but let me offer an 
> alternative rendering of the same strict meaning that carries a connotation 
> that I think is more relevant:
> 
> "The interpretation that `all Lagrangians are phenomenological Lagrangians', 
> within which infinities never arise in the course of doing calculations, 
> entails the conclusion that humans have not yet worked out a complete and 
> final theory accounting for all aspects of the nature and hierarchy of 
> matter."
> 
> Gosh, stop the presses….
> 
> 
> Of course, I know that wasn’t what the main thread was about, and was merely 
> a drive-by shooting in your post.  Don’t know where this leaves your 
> assertion about physicists as monists.  I think I don’t understand why anyone 
> who claims to be a monist bothers to say anything, since the act of choosing 
> one word rather than another, or writing any sentence, would be obviated if 
> all things are one thing.  I assume the physicists can just ignore all that 
> and keep trying to do work.
> 

-- 
"Better to be slapped with the truth than kissed with a lie."
☤>$ uǝlƃ


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