The fomer through poetic means, and the latter through a genealogical approach that traces the rise of Socratic reason to posthumous Presocratic philosophy.The phrase of concern is: "posthumous Presocratic philosophy"
posthumous refers to persons, not inanimate things or ideas. genealogical refers to people, families or animals. There is not enough context with your post to determine its sensibility.
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posthumous refers to persons, not inanimate things or ideas.Well my Concise OED entry for "posthumous" reads: "adj. adjective: occurring, awarded, or appearing after the death of the originator."
naphelgePresocratic philosophyTo me, that means any school of philosophy or philosophical thought which existed before Socrates. It infers that it was Greek. It does not mean to me that it was replaced by the philosophy of Socrates, nor does it mean that it died out.