Cassius : Your experience with Philodemus' On Methods of Inference seems like it would be directly relevant here:
Philodemus: On methods of inference: a study in ancient empiricism : Philodemus : Free Download, Borrow, and Streaming : Internet Archive
http://uf.catalog.fcla.edu/uf.jsp?st=UF001032148&ix=nu&I=0&V=D
archive.org
(No, I have not read it yet)