I like it, quite a concise and clever way of quantifying beauty (especially p-beauty). Although I don't think it challenges the notion that beauty is in the eye of the beholder. Your model still takes individual ratings of beauty as its inputs, and so it is still very much contingent on the "eyes of the beholders". To be an objective measure of beauty, it would surely have to be independent on the opinions of individuals (or even groups), unless you have a very different understanding of what it means to be objective than I have.
Yeah, I definitely agree that "beauty is in the eye of the beholder is true"! I guess I was a bit facetious there. My point is just that all those subjective ratings can be meaningfully aggregated into a total notion that is objective. Perhaps one wants to say that I'm a bit liberal with the use of objective, but since everyone will agree on N-beauty, I would say it warrants the term objective. But it is certainly clear that beauty is a function of peoples subjective opinions. I don't believe beauty is even meaningful if there were no humans to rate, since what is perceived to be beautiful probably is very contingent on human wetware :)
I like it, quite a concise and clever way of quantifying beauty (especially p-beauty). Although I don't think it challenges the notion that beauty is in the eye of the beholder. Your model still takes individual ratings of beauty as its inputs, and so it is still very much contingent on the "eyes of the beholders". To be an objective measure of beauty, it would surely have to be independent on the opinions of individuals (or even groups), unless you have a very different understanding of what it means to be objective than I have.
Yeah, I definitely agree that "beauty is in the eye of the beholder is true"! I guess I was a bit facetious there. My point is just that all those subjective ratings can be meaningfully aggregated into a total notion that is objective. Perhaps one wants to say that I'm a bit liberal with the use of objective, but since everyone will agree on N-beauty, I would say it warrants the term objective. But it is certainly clear that beauty is a function of peoples subjective opinions. I don't believe beauty is even meaningful if there were no humans to rate, since what is perceived to be beautiful probably is very contingent on human wetware :)