Only took me like half the year to finish this thing by reading it exclusively in bits and pieces between work at the Toronto Reference Library, which is definitely not the ideal way to read academic essays on art theory! Anyway, it's decent, Danto has some good ideas about the concept of beauty, but he's also very notably wrong in two major ways:
1. He makes a strange assumption that there are certain things that no one will ever be able to find beautiful as the subject of art, and that these things are just categorically excluded from beauty as a concept. This is pretty demonstrably wrong, and there's actually a pretty good Spinoza quote from 300 years prior that states the case against it well: "Anything can accidentally be the cause of pleasure, pain, or desire."
2. He makes a claim at the very end of the book that beauty is "necessary for life", or at least I have to assume human life (and to clarify, that also means "life worth living"). But like the previous one, this also appears false to me in at least some cases. I can hypothetically imagine future generations growing up without a concept of beauty and I wouldn't say their lives wouldn't be worth living as a result. But I kind of get what Danto's getting at here: I certainly think those generations lives would be worse off even if they wouldn't know it, because there is something compelling about beauty as both a concept and an experience. There's a good humanist argument hidden in here somewhere about why we should have beauty even if it's not "necessary", but Danto doesn't quite make it there amidst all his (admittedly impressive) historical overviews of past ideas of beauty and how they clash with and complement each other.