I think dsi1 got it... at least the first two paragraphs. The last
paragraph was a historic note which I don't expect anyone to know, but I
threw it in there because it nicely capped off my thoughts.
This subject is important because it's the one of the cruxes, if not the
crux, in the problem of bigotry in this world. As far as rmcg goes,
there are differences in artistic judgment here. Dsi1 has said
time-and-time-again that the standard is not as general as you might
think, i.e., that it's quite individual. His stance is on the radical
side, and has been scoffed at here; and I'm defending his ground,
although from my perspective. I'm not as radical as him.
Here's the playing field for the debate, in a nut-shell:
If there's an /absolute/ standard for concordance, simplicity, and
elegance, i.e., aesthetics, and Johnny-Trump-Voter thinks he's got a
clear feel for where that standard is, then he feels justified in
disparaging anything that misses the mark that he feels; and he will
more easily feel justified in thinking that any person missing the mark
is morally degenerate.
If the aesthetic standard is /relative/ to the cognitive environment in
which the person grew up and currently lives, then there is no
justification for disparaging anything that doesn't hit your mark.
o~~~o~~~o~~~o~~~o~~~o
(digging into this playing field a little deeper...)
The cognitive environments are different in (1) art, (2) science, and
(3) mathematics.
(1) In art, the cognitive environment is different from place to place
and changes over time. This is noticeable, e.g., when a Western person
listens to music of different tuning system, or when imagining what
Palestrina would think of Penderecki.
(2) In the 'hard science' the cognitive environment is shared by the
global community, and this changes when the paradigm shifts, e.g., as
happened in the Copernican revolution.
(3) In mathematics, the environment will (I guess) change after many
scientific paradigm shifts and a re-configuration of the relation of
mind to matter. The very nature of that relation (mind to matter) if
radically changed, will make old truths irrelevant to anything that is
considered relevant in life, and it will demand (or command) a whole new
system. This would be the case, for example, at a time and place where a
person's mind cannot be thought of as contained in a physical space
(like the brain, or brain-body), but is a network not contained by space
and time as we now conceive it.
If everything changes, and there's no over-arching law placing limits on
the change, e.g., God's inherently limited mind (I think it's
preposterous to think that God doesn't change), or an overarching
Platonic form (either set by God or that just happens to Be), then, like
art and science, even mathematics must change, albeit more slowly. As
far as I can see, my idea, that the mind-body reconfiguration causes the
change, is dependent on the idea that math is reducible to sets, and
sets are conceived as things in space.
--
Matt