Frances to Geoff and other members... 
One of the ongoing longstanding debates here on this list that
seemingly remains unresolved is whether some general "classes"
exist objectively outside and aside from any mind in an
ontological sphere of the world, or if all general "classes"
exist subjectively and only inside the mind; and then further if
"art" is a general class at all, regardless of whether art exists
as an objective material construct or as a subjective mental
construct. The current debate over "existence" however is
somewhat new to me here, although it is an important issue to
wrestle with in its own right as regards both art and nonart. 

Geoff asked several questions, here partly listed by me in
effect... 
(1) Is social constructivism and set theory relevant to this
subject? 
(2) Is art as a class necessarily only a subjective mental
construct? 
(3) Does pragmatism differentiate the existence of tokens and
types? 
(4) Does value impact in any way on the kind of meaning a sign
yields?  

Frances attempts a pragmatist reply to those questions...  
(1A) My understanding of "social constructivism" as you presented
it is that the theory holds to a position of communal
psychologism, in that normal humans interpretively impose
themselves on all they sense or perceive, because they cannot
know actual concrete factuality in any direct way for sure,
therefore upon an individual sensing stuff it falls to the
collective group of percipients to determine what is seemingly or
really sensed, hence the private sense moderates stuff while the
public group confirms if the sensed stuff is real for all
concerned. Much of this could be supported by realist pragmatism.
The term "reality" here however may be a thorn for you, in that
under pragmatism any fact that may be sensed as real would be a
mental construct, so that a fact is only as real as sense. 
(1B) The issue of a singular thing or self as a particular member
and its class as a general "set" is admitted to be in the world
by realist pragmatism, where furthermore the self and the set is
also permitted to be auto representational, and thus the self can
act as its set or the set can act as its self, but this idea goes
to a broader metaphysical theory of early phenomenal evolution.
An example might be the particulate essence of an emerging
subatomic structure; but this idea of self and set becoming
interchangeable can be carried forward to include say the mental
psyche of a normal human, where their own inner self and their
own outer person as its set confusingly behave as one. Indeed
logically, only a special token or singular self can be sensed to
stand for a general tone or a universal type as a set, because
tonal quales and typical norms cannot be pointed to without
pointing to a token sample that represents them. 
(2A) If we align art with say tech and science as major human
acts, then these class sets are clearly objective states of
things, or at least objective laws of things, that just happen to
possibly have token members in their typical classes. For
example, to sense a singular token artwork is to sense at once at
least two properties simultaneously in the one particular object,
which are the specific artwork and the generality of art that it
is a part of. The real and the ideal are sensed instantly
together in combination. For another example, to sense a token
human person is to also sense tonal humanness and typical
humanity. We simply cannot sense a token without also sensing its
tone and its type. 
(2B) Incidentally, the general inclined laws of nature and
science and mathematics are found by pragmatism to be objective
logical constructs that mind accidentally discovers, therefore
the general inclined qualities of art sensed in artworks are also
easily identical with this finding. 
(3A) The fact of "existence" is not a predicate upon which all
things in the world can rest, such as say god for example, but it
is likely that say art might or would be predicated to exist. 
(3B) The product of a single football exists as a token artifact,
but the game of football exists as an ideal typical class of
existent token football games, so to sense a specific football
game is also to sense the general game of football, therefore the
token and the type exist, and the token furthermore is an iconic
sign that indicates its own tone and type. The product of a
football artifact or the activity of a football game can also be
used as an iconic metonym to stand as a part for say the whole of
sport in general; in the same way that a pair of hands are the
workers, or a set of wheels is the car, or the Whitehouse is
America or its government or its president. 
(4A) Any sign has value to the extent that its referred and
effected object satisfies the need of a signer as its user. The
value is of semiotics alone, and is aside from any methodic
goods, such as any aesthetical beauties, or any ethical rights or
deeds or morals, or any logical truths. 
(4B) Any meaning yielded by a sign can emerge in acts of semiosis
at the behest of the signer, but meaning need not emerge for a
sign to exist as such. It is however the peripheral margin as a
sphere or domain or realm of the sign that determines the kind of
meaning there will be. The determination of meaning is a limit
bound by the margin of the related signs involved. The meaning
then determines or limits the value of a sign, and the value in
turn determines or limits the worth of a sign. It is hence the
bounded margin and not the valued need that determines or limits
the degree or level of meaning, such as its quality or continuity
and its complexity or intensity or simplicity. For pragmatism the
meaning of a sign is only a semantic entity, and then one of only
critical interpreted evaluation. This broadly entails the
definitive subject matter of a sign, such as its defined object
or content or meaning. 
(4C) If a signer arbitrarily assigns or reassigns or confers some
private reference to a sign, such as a secret cipher, this
alternative or additive reference is not in any way part of the
definition of the sign nor of its meaning. It is of course
semantic, but of informative grammar only, and thus is simply a
substitutive code of syntax, much like the Morse code is.
Informative semantic referentions or referents like coded ciphers
are limited by the peripheral "grounds" that sign vehicles and
sign objects lay in together, which grounds may of formal iconic
similarity or causal indexic contiguity or conventional symbolic
arbirarity. Evaluative semantic definitions or defines like
subjected meanings are limited by the peripheral "margins" that
sign values and sign subjects lay in together, which margins may
be of spheres or domains or realms. The signer is therefore
relatively free to confer any referred object upon a sign, but is
less free when it comes to conferring any defined subject upon a
sign. The semantic margins of signs are much more restricted than
are the semantic grounds of signs, therefore any meaning that
signs yield at the behest of signers is tethered by semiotics. 

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