Frodo wrote:If a tree falls in the woods and no one's around, does it still make a sound?
I'd say - whenever the air/water vibrates, there is sound. But the artistic value of the sound of that tree is only the one that I would give to it. If I am not there to hear it, then that sound has no artistic value.
Socrates is famous for showing through his pointed questions that people knew less about things than they pretended to. For example, he might ask a respected priest what piety was, and then by his pointed questions show that the priest could not in fact form a coherent definition of piety. Which seems to indicate that the priest doesn••™t in fact have a coherent concept of piety; rather he has an incomplete and contradictory one, which he only pretends is coherent. And I think the same thing can be said about most of our concepts, that they contain contradictions, and are really only rough approximations to reality we have come to have almost haphazardly.
~Anon.
Socrates and Nietzsche are my heroes! I see great benefit in being shown how ignorant I am. It gives me hope.
The one problem I have with notion of objective evaluation being the determining factor of value is that it eliminates the very concept of subjective evaluation. Without subjective evaluation, there would be no objectivity.
The way I understand it, objectivity has nothing to do with the sum of subjectivities. To me, objectivity is a way of thinking that dismisses everything that is subjective. In order to think objectively, I don't need neither my subjectivity, nor do I need others' subjectivities. For example, to say that "three people are more people than two people" is an objective thought. It is not the sum of subjectivities. So objectivity has nothing to do with subjectivity. They are in fact opposite, they never "touch" each other.
There are places on the earth no one has seen (caves, areas of the ocean floor, forests, etc.), but that doesn't mean they do not have value until they can be visually appreciated.
What kind of value are you considering here? I thought we were only talking
artistic value. If we mix values, like practical value with artistic value, then we are lost. Let's keep them separately. There is no artistic value in nature. Artistic value refers only to things made by humans, when they are appreciated by humans.
There are likely many great works of music tucked away in a tombs or old chests waiting to be discovered.
What is the reason you are calling them "great" for? How can you assign value judgments to things that, first - you never heard/seen/experienced, and second - you don't even know anything about their very existence? This is my understanding of your above statement: it is more likely that not all the written pieces of music have been performed yet. That is all I can presume. How great those pieces are, that I cannot presume.
Their value or the lack cannot so easily be assigned to human beings who are slow to consciousness.
I beg to differ - people easily assign artistic value to the artistic products that they are experiencing. That is the way it works. There is no other way. But what do you mean by "slow consciousness"?
Seeing and hearing may be associated with believing,
To me, seeing/hearing have absolutely nothing to do with believing. If I see/hear something, then I do have some knowledge about that. Believing starts where seeing/hearing and knowledge stops.
but value (imho) stems from something greater than the sum of all of us.
Again, what kind of value? From my observations,
artistic value stems only from one place: the individual who experiences a piece of art. There is no artistic value
inside a piece of music, only
external artistic value, given by the listener. The "sum of us" can only indicate statistic value, or commercial value. I cannot think of some artistic value amplified-by-the-number-of••“people-that-give-value-to-a-piece-of-music. Artistic value is a personal thing for each of us, you cannot sum us so you can weigh the artistic value of a piece. Artistic value cannot be objective, as it is something derived from personal taste. You cannot point to something inside a piece of art and then to tell me: "See that? That is Artistic Value! There is a whole sum of us that see that value. It is greater than this sum of us. But we do see that value, and we see it in the same way. So if you don't see that value you are either blind, deaf, or of a bad taste!" That would sound sorta fundamentalist, wouldn't it? Of course no one here thinks like that. But that seems to prove that my individualist theory might be healthier than it sounds, for - what's the alternative? Imposing artistic values to each other?
Things that are great are so whether or not we are aware of them or not.
Again, keeping it in the musical domain, I can see only one artistic greatness: the one that I personally am giving to a particular piece of music. A piece of music is great only for one single simple reason: that I say so. Period. If I say it stinks, then it stinks, no matter how many
the sum of you are. The sum of *you* have absolutely no authority neither on talking about art's greatness, nor on dictating me what is artistically great and what is not. Music has only the value that I am giving to it, and no other. Objectivity is meaningless when it comes to music. Subjectivity and personal taste is everything. That is what I have observed, or better said - that is what I understand from what I have observed.
As Socrates would say, I am nothing but an ignorant, but I know it!

I'm perfectly OK with being just another ignorant, for being bamboozled would be infinitely worse.
Edit -
One of my favorite quotes:
"The surest way to corrupt a youth is to instruct him to hold in higher esteem those who think alike than those who think differently." -- Friedrich Nietzsche