Frances to William... 
The irony is understood in your remarks about objectivity and
subjectivity. There are of course some theories of art seemingly
contradicting the importance of the self in art, such as the need
for a percipient to maintain the correct "psychical distance"
from the work by being "disinterested" in the work like a judge
of the court. It may be because of this seeming irony that
pragmatism posits the idea of things being progressive and
hierarchical, such as iconicity and symbolicity, or objectivity
and subjectivity, or aesthetics and logics, or art and science;
in that they are all in their own right preparatory and
contributory and consummatory of each other, and then at last
combinatory. As a related aside, the inner tern under the human
"psyche" might best be ordered as "self" and "subject" and
"person" that you partly mentioned, but this kind of psychologism
may not be that useful here in appreciating the human
relationship to art and science. 

William wrote... 
In science the goal is to take the self out of the
judgment and to simply understand the data, the
results, the evidence, the matter, etc.  That's why
it's science --the scientific method -- and why it's
objective.  It's admitted that it is not possible,
probably, to exclude all subjectivity.  So while art
and science share the human subject in some way, the
former tries to eliminate self as much as possible and
the latter tries to include it as much as possible. 
Granted that when it comes to intrepretation,
appreciation, and the like, art and science are
regarded subjectively.

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