According to Wikipedia, "any definition that attempts to set out the essence of"

According to Wikipedia, "any definition that attempts to set out the essence of"

According to Wikipedia, "any definition that attempts to set out the essence of" a concept "specifies the necessary and sufficient conditions for a thing being a member of" the set corresponding to that concept. Ok. But I wonder if it wouldn't be great if, for some more difficult concepts, we could at least specify some sufficient conditions in a way that we would pick most things that are members a the corresponding set. For instance, wouldn't it be a nice philosophical progress if we could get a "definition" (?) of beauty that would cover most beautiful things and no non-beautiful thing? I mean a definition that is not circular, of course.

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