My understanding is that Kant argued in something like this fashion. Or, at least, that Kant thought that it was through the contemplation of beauty that we could experience the divine. I don't myself see that any sort of real argument will be forthcoming along these lines, but I do understand the sentiment. Certainly there is music that makes me particularly conscious of God: Plenty of Coltrane, for example. But for myself, I think my deepest sense of the divine emerges from contemplation of the men and women who have made great contributions towards the emergence of justice in the world. To me, that is, the best argument for the existence of God is the existence of people like Dr Martin Luther King, Jr. I don't expect that to be convincing to anyone else, though.
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Are there any interesting arguments for the existence of God from the existence of beauty? i.e., because there is beauty, we know there is God?