Arlo said to Mark:

This is basically the same question Phaedrus asked himself about the origins of 
hypotheses, and led him towards Poincare and Einstein.  Although he doesn't 
mention them, both Eco and Peirce posit very similar answers, as does Nietzsche 
(and Dewey, and Northrop and James). While their analogies differ, the "flash 
of light" is often painted as a sudden, unexpected, pre-intellectual moment of 
aesthetic awareness.  ...In all cases (I think) it's a question of 
'creativity', or to use Campbell's word "the birth of something new".



dmb says:
Poincare thought that of all the possible options the most interesting and 
beautiful mathematical solutions were pre-selected by an unconscious aspect he 
called "the subliminal self" and Phaedrus saw his own notion of Quality in 
this. The following passage can be found a few pages from the end of chapter 22 
of ZAMM...

"Poincaré then hypothesized that this selection is made by what he called the 
"subliminal self," an entity that corresponds exactly with what Phædrus called 
preintellectual awareness. The subliminal self, Poincaré said, looks at a large 
number of solutions to a problem, but only the interesting ones break into the 
domain of consciousness. Mathematical solutions are selected by the subliminal 
self on the basis of "mathematical beauty," of the harmony of numbers and 
forms, of geometric elegance. "This is a true esthetic feeling which all 
mathematicians know," Poincaré said, "but of which the profane are so ignorant 
as often to be tempted to smile." But it is this harmony, this beauty, that is 
at the center of it all.

Poincaré made it clear that he was not speaking of romantic beauty, the beauty 
of appearances which strikes the senses. He meant classic beauty, which comes 
from the harmonious order of the parts, and which a pure intelligence can 
grasp, which gives structure to romantic beauty and without which life would be 
only vague and fleeting, a dream from which one could not distinguish one's 
dreams because there would be no basis for making the distinction. It is the 
quest of this special classic beauty, the sense of harmony of the cosmos, which 
makes us choose the facts most fitting to contribute to this harmony.It is not 
the facts but the relation of things that results in the universal harmony that 
is the sole objective reality.

What guarantees the objectivity of the world in which we live is that this 
world is common to us with other thinking beings. Through the communications 
that we have with other men we receive from them ready-made harmonious 
reasonings. We know that these reasonings do not come from us and at the same 
time we recognize in them, because of their harmony, the work of reasonable 
beings like ourselves. And as these reasonings appear to fit the world of our 
sensations, we think we may infer that these reasonable beings have seen the 
same thing as we; thus it is that we know we haven't been dreaming. It is this 
harmony, this quality if you will, that is the sole basis for the only reality 
we can ever know.

Poincaré's contemporaries refused to acknowledge that facts are preselected 
because they thought that to do so would destroy the validity of scientific 
method. They presumed that "preselected facts" meant that truth is "whatever 
you like" and called his ideas conventionalism. They vigorously ignored the 
truth that their own "principle of objectivity" is not itself an observable 
fact...and therefore by their own criteria should be put in a state of 
suspended animation.

They felt they had to do this because if they didn't, the entire philosophic 
underpinning of science would collapse. Poincaré didn't offer any resolutions 
of this quandary. He didn't go far enough into the metaphysical implications of 
what he was saying to arrive at the solution. What he neglected to say was that 
the selection of facts before you "observe" them is "whatever you like" only in 
a dualistic, subject-object metaphysical system! When Quality enters the 
picture as a third metaphysical entity, the preselection of facts is no longer 
arbitrary. The preselection of facts is not based on subjective, capricious 
"whatever you like" but on Quality, which is reality itself. Thus the quandary 
vanishes.

[dmb interjects: the non-arbitrary, non-subjective, non-capricious preselection 
of facts is also an argument against relativism.] 

Poincaré had been working on a puzzle of his own. His judgment that the 
scientist selects facts, hypotheses and axioms on the basis of harmony, also 
left the rough serrated edge of a puzzle incomplete. To leave the impression in 
the scientific world that the source of all scientific reality is merely a 
subjective, capricious harmony is to solve problems of epistemology while 
leaving an unfinished edge at the border of metaphysics that makes the 
epistemology unacceptable.

But we know from Phædrus' metaphysics that the harmony Poincaré talked about is 
not subjective. It is the source of subjects and objects and exists in an 
anterior relationship to them. It is not capricious, it is the force that 
opposes capriciousness; the ordering principle of all scientific and 
mathematical thought which destroys capriciousness, and without which no 
scientific thought can proceed. What brought tears of recognition to my eyes 
was the discovery that these unfinished edges match perfectly in a kind of 
harmony that both Phædrus and Poincaré talked about, to produce a complete 
structure of thought capable of uniting the separate languages of Science and 
Art into one."

dmb says:
You'll find this same assertion about Quality's role in the cutting edge of 
science at the end of Lila's chapter 29, immediately following the explanations 
about radical empiricism.
 Thanks,dmb                                       
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