Since this a clear example of an hendiadys with οὐδέ I wonder why 1Tim 2:12 cannot be a hendiadys as well.
A Greek hendiadys, as described in the literature and the grammars, consists of two substantives placed side by side, joined by καί or τε. I found Sansone’s article very helpful: http://womeninthechurch.co.uk/wp-content/uploads/2014/02/Sansone-hendiadys.pdf, or for something shorter, try Smyth, §3025:
- Hendiadys (ἓν διὰ δυοῖν > one by two> ) is the use of two words connected by a copulative conjunction to express a single complex idea; especially two substantives instead of one substantive and an adjective or attributive genitive.
The first example Smyth gives is:
αἵ τε πόλεις πολλαὶ καὶ χαλεπαὶ λαβεῖν αἱ τῶν Φωκέων, μὴ οὐ χρόνῳ καὶ πολιορκίᾳ: [Demosthenes, On the False Embassy, 19.123]
The cities of the Phocians were many, and difficult to take, except by time and siege.
I don’t think we would say ‘time and siege’ in English, except perhaps in poetry, but it’s readily comprehensible. Clearly, it means much the same as ‘a long siege’. The classicists here might be able to give some indication of why Demosthenes, the orator, would join two nouns like this rather than just say πολιορκίᾳ μακρᾷ (my guess); but I think it must be a matter of style.
See that the positive conjunction καί is used to join the two nouns, even though it’s a negative phrase. I have a theory that this is usually the case where two terms really are being joined into one, as for example in Galatians 1.16:
οὐ προσανεθέμην σαρκὶ καὶ αἵματι (I did not consult with flesh and blood)
I don’t think the Polybius example is relevant to 1 Timothy 2.12 because it seems to me to look like a Greek hendiadys, in that it is joining two nouns placed side by side, and differs only in the use of the negative conjunction. I suspect that it should be viewed as an exceptional one-off, unless other examples can be produced.
This has nothing to do with the joining of two infinitive phrases, as in 1 Timothy 2.12, so far as I can see, especially with the two infinitives being so far apart.
Andrew