"That which comes after the science of nature comes before it."
A riddle? Yes, but how do we resolve it?
The riddle is Aristotle's. In Metaphysics Gamma, he complains about natural scientists who apparently deny, in one way or another, the principle of non-contradiction (PNC)--xrw=ntai de\ tw=| lo/gw| tou/tw| polloi\ kai\ tw=n peri\ fu/sewj, "Many natural scientists, even, adopt this theory". Heraclitus is reputed to have denied it; Anaxagoras's infinite mixture apparently does so; and so on.
Of course, in reply Aristotle gives us his famous series of dialectical arguments, in Gamma 4, aiming to show that someone who 'says anything at all' is thereby committed to the PNC. These sorts of arguments are a part of metaphysics, as Aristotle tells us: it is the task of the philosopher, he says, who thinks about things simply insofar as they exist, to give this sort of defense of the PNC.
o(/ti me\n ou)=n tou= filoso/fou, kai\ tou= peri\ pa/shj th=j ou)si/aj qewrou=ntoj h(=| pe/fuken, kai\ peri\ tw=n sullogistikw=n a)rxw=n e)sti\n e)piske/yasqai, dh=lon: prosh/kei de\ to\n ma/lista gnwri/zonta peri\ e(/kaston ge/noj e)/xein le/gein ta\j bebaiota/taj a)rxa\j  tou= pra/gmatoj, w(/ste kai\ to\n peri\ tw=n o)/ntwn h(=| o)/nta ta\j pa/ntwn bebaiota/taj. e)/sti d' ou(=toj o( filo/sofoj.Clearly then it is the function of the philosopher, i.e. the student of the whole of reality in its essential nature, to investigate also the principles of syllogistic reasoning. And it is proper for him who best understands each class of subject to be able to state the most certain principles of that subject; so that he who understands the modes of Being qua Being should be able to state the most certain principles of all things. Now this person is the philosopher.
So apparently clarity about the PNC belongs, now, not to 'the things that are after the physics', but rather to the 'the things that are before the physics'.
e)/sti de\ sofi/a tij kai\ h( fusikh/, a)ll' ou) prw/th. o(/sa d' e)gxeirou=si tw=n lego/ntwn tine\j peri\ th=j a)lhqei/aj o(\n tro/pon dei= a)pode/xesqai, di' a)paideusi/an  tw=n a)nalutikw=n tou=to drw=sin: dei= ga\r peri\ tou/twn  h(/kein proepistame/nouj a)lla\ mh\ a)kou/ontaj zhtei=n.Natural philosophy is a kind of Wisdom, but not the primary kind.
As for the attempts of some of those who discuss how the truth should be received, they are due to lack of training in logic; for they should understand these things before they approach their task, and not investigate while they are still learning.
Well, which is it? As I said, it's Aristotle's riddle, not mine.