It would take a mere 10 seconds of googling to find the answer to that question as he is literally asked about it every few hours on twitter or in interviews. And every single time he explains it but it seems to fall on deaf ears.
> I understand those who are heavily offended by that viewpoint
I personally don´t understand those people because they are not really listening to the argument. They are selectively hearing what they want to hear. In your "question" there is an embedded assumption that order (masculine) is "good" and chaos (feminine) is "bad". And that´s why people get offended; if they didn´t equate chaos with bad, there would be no reason to get offended. This happens because they are not _actually_ reading Peterson. They are reading what they _think_ someone like Peterson would say but in doing so they miss the point completely.
Peterson argues that chaos in literature is most often presented as feminine (mother nature for instance) and order is presented as masculine most often (God, the heavenly father for instance). At any point in time, order OR chaos can both take hold to varying extreme degrees, which is not good for society. Example: Totalitarian states (extreme order/masculine) are bad, but so is anarchy/chaos and the complete lack of order. Both extreme order and extreme chaos are bad he argues constantly.
Would it be any better if Peterson argued that chaos was masculine and order was feminine? not really, people would still get offended because that´s what people want to be. They don´t actually stop and listen to what is being said, which is unfortunate :/
e: incidentally, if any of Peterson’s theory ramblings do appeal, just go and read Freud, Jung, Lacan, Marx, the Bible etc in the original. They are all vastly more interesting, subtle and worthwhile than Peterson’s jumbled, evo-psyched retelling of them.
The point he is making though is that they have traditionally been associated with gender. Just look at any religious art or any art for that matter pre-dating cameras (abstract art took over post the invention of cameras for obvious reasons) and you will find thematic ties to gender. In fact, walk into any church and look at the ceiling, that will show you how the west have thought about this chaos/order duality for 2000 years now.
With that said, is there a way to argue that perhaps feminine is order and masculine is chaos? hell yea. But please note that I wrote "most often", which is also his claim. You could however make the opposite argument and we can have a healthy discussion about the proper metaphorical language space we can use to describe such abstract concepts. But the idea of being offended because gender was used historically is rather nuts. People used what was historically available to them to use in terms of abstract story telling tools. Gender was one of those tools. Getting mad at it is borderline crazy imo.
> but what Peterson is trying to get at by this feminine chaos/masculine order thing - apart from a truly boring “the middle way is the best” argument that you point out and which clearly doesn’t require a gender linking to make - is completely unclear.
It seems to me that you are making the assumption that there IS more to it than that. Which I see no evidence for.
What I don´t really understand is: why really stop? why shouldn´t he link gender with the chaos/order duality? because people get offended? If that is the reason then all of us can say nothing at all. Because I can find a reason to get offended by anything you say. That can´t possibly be a reasonable demand either. How would we ever have any discourse in society if when someone is offended we are all required to be quiet about said thing?
The irony of this whole discussion is that you are demonstrating why Peterson keeps saying that we are slipping into chaos. We are trying to protect everyone who´s offended to the point where society as a whole is slipping toward the Oedipal mother pathology.
Peterson is describing traditional mythological associations, not prescribing anything. Chaos is tradtionally associated with the feminine. Order is traditionally associated with the maculine. This is true historically. He's not saying anything should be any way on this topic.