To your original question - Greek (i.e. Byzantine) Catholics may not explicitly use Greek philosophy, but much of the terminology and mindset was drawn from Platonic rather than Aristotelian philosophy (remember, Aristotle wasnāt the only [or necessarily the greatest] Greek philosopher). I remember discussing the use of Greek philosophy in Eastern/Byzantine theology with the likes of Fr. Robert Taft, Met. Kallistos Ware, and Prof. Richard Schneider back when I was working at Eastern Christian Publications. All of them agreed that philosophy is most certainly an element of the Eastern/Byzantine mind, but the emphasis on Plato and Platonic thought is much stronger thanks to guys like Origen and Evagrius.