(I wrote out a longer and more carefully worded response, but it was too long. I made it short, but now it looks a bit rude...)

I think that you're mixing some extremely vague and stereotypical "poetic" terms (deep meaning, beauty, eliciting emotions) with some terms that sound very precise (teleonomic, teleologic, deducing things mathematically, Barnum effect). The former signify little or nothing at all, the latter suggest a careful scienctific perspective but actually look misapplied (Barnum effect, mathematically analysing poetry and beauty) or I find them to be borderline gibberish (teleonomic, teleologic).