1 sn Paul does not mean nature in the sense of “the natural world” or “Mother Nature.” It denotes “the way things are” because of God’s design.
2 sn No word for veil or head covering occurs in vv. 3-14 (see the note on authority in v. 10). That the hair is regarded by Paul as a covering in v. 15 is not necessarily an argument that the hair is the same as the head covering that he is describing in the earlier verses (esp. v. 10). Throughout this unit of material, Paul points out the similarities of long hair with a head covering. But his doing so seems to suggest that the two are not to be identified with each other. Precisely because they are similar they do not appear to be identical (cf. vv. 5, 6, 7, 10, 13). If head covering = long hair, then what does v. 6 mean (“For if a woman will not cover her head, she should cut off her hair”)? This suggests that the covering is not the same as the hair itself.