| | Michael, You are thinking that the only context in which one can speak of value is where an individual person is actively valuing something in the moment. That act is the root of human values, and no collective can perform the act of valuing apart from that which is done by individuals. But it can be valid to say that Americans tend to value hamburgers more the Japanese do. We can use the plural here to say who is valuing. We can 'average' (use phrases like "tend to") since some Americans might not like hamburgers. We can also use the past and future tenses. "Even 50 years ago, Americans tended to value a good hamburger. And, I bet that in another 50 years Americans will still tend to like hamburgers."
You are correct in asserting that I'm speaking of intrinsic characteristics. But I'm going beyond that to say that these characteristics tend to be of value. And in economics it is common to use the short hand way of saying of that by saying gold has intrinsic value. That does NOT mean that the valuer somehow lives inside of each particle of gold, or that there is NO valuer ever involved!
Back to the hamburger. I can ask you if a hot, juicy, well-made hamburger is of value. You could waffle and say, "Not without a valuer." And I'd point out that I could stand on a busy American street corner with a grill, make a hamburger and be assured that someone would value the burger I made. I am predicting that humans, given our natures and within our society and culture, will value certain things - and that some of those things will be valued for their intrinsic characteristics. For those things, I can say they have intrinsic value.
Notice that NOWHERE do I say that the value is not in relation to a person and for a purpose. Nothing requires me to know who that person is in advance, or to know all such people of the past, or to understand any details of their purpose, or the specific measurement of the valuing they did, or will do.
Bottom line: There are characteristics of things that tend to make them valuable to people. The more universal the valuing (across cultures and time and taste) the higher the demand for the thing for that purpose. Because, as you point out, there is a purpose in the valuing, we can examine the valuing people tend to do for things being used as a store of value. Why would we not tend to value sand for a store of value? Takes too many units (grains, pounds, tons) to store even a moderate amount of wealth. Not very homogeneous - one batch of sand might be a different color, or grain size, etc. You can go on and on and what you find is not that gold is the only good store of value, or even the best for all people at all times, but you will find that it does quite well. It is the intrinsic characteristics of gold that make it valuable - it has intrinsic value.
If you are an oxygen breathing animal, then our atmosphere has intrinsic value for you. You don't have to engage in an act of valuing. You don't even have to be conscious. There is a relationship between your nature and the characteristics of our atmosphere that make it of objective value to you - intrinsic value.
You keep implying or outright stating that I'm disassociating the value from the valuer. I'm not. I'm using the adjective "intrinsic" to distinguish those characteristics inherent in an object that have been, are being, or will be valued. Those characteristics are there even if a valuer has yet to be born: There will be people in the future, not yet born, for whom the oxygen in our atmosphere will be a necessary value. For humans, oxygen is an intrinsic value in the atmosphere.
The characteristics inherent in paper money allow it to be printed in ever greater supply. The value of the printed money is not inherent in the physical entities (paper and ink); it's intrinsic worth is very, very low. Here is where value and scarcity become related. It is the natural scarcity of gold that keeps it from being abused like fiat money. Gold holds its value while the value of a printed dollar can vary in an extreme fashion with the number of them printed and that amount is nearly unlimited. No scarcity - no value.
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