These two Wikipedia entries seems relevant for this section of Lucretius:
https://en.wikipedia.org/wiki/Causal_reasoning
https://en.wikipedia.org/wiki/Inference
Robert You made an interesting comment in last Sunday's meeting regarding inference, and if I recall it was something about the correct way or the steps for inference (though I don't remember if you went further saying what the steps were).
Also, thinking that we may want to see what Philodemus has to say about inference.
Hmm--did it have something to do with detecting celestial objects, as in the indirect detection of Neptune by observing anomalies in the orbit of Uranus? I remember mentioning this for some reason.
Very interested to see how Philodemus approaches the topic of inference!