"美的哲学" can be translated into English as "the philosophy of beauty" or "aesthetic philosophy".
"The philosophy of beauty" directly conveys the idea of exploring the philosophical aspects related to beauty.
"Aesthetic philosophy" is a more technical or specialized term in philosophy, referring specifically to the philosophical study of aesthetics (the nature of beauty, art, and taste).
Both translations are acceptable, and the choice between them may depend on the context or the specific emphasis you wish to convey.