It could just as easily be the other way around. Just because something might not be universal across all human cultures, doesn't mean it isn't biologically based anyway.
But that's the point I'm making. It could just as easily be the other way around. The fact that differences between sexes is cross-cultural proves that differences between sexes are cross-cultural. It does not prove any further fact about that those differences, or their basis. Damore assumes, as do the researchers he cited, that is proof these differences are biological in nature, without regard to their true etiology or even a mechanism of action.
I'm not aware of any research that demonstrates that cross cultural things aren't biological.
That's not how science works. We all start off with the null hypothesis, that there isn't any significant difference between populations, and that any difference observed is due to sampling or experimental error. And in this case, that means the first hurdle to pass is showing that something is truly cross-cultural. That's really hard to do. Most often, cross-cultural differences simply haven't been studied enough, and across enough cultures, for the effects of the differences in culture to shine through. 40 years ago, blood type effect on personality was thought to be biological in nature, and even recently color preference was thought to be biological. (See https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4311615/ for one culture demonstrating it isn't.)
Let's say you pass that hurdle, and have sufficient statistical power to show a real difference. With regards to explaining cross-cultural psychological differences, there are still three possible explanations: biology, biology and culture, or culture. Proving that a cross-cultural difference is biological in nature requires, at the very least, showing a potential mechanism of action. For example, heightened levels of physical aggressiveness in men (compared to women) across cultures is often explained by the effects of testosterone, which does increase aggressive behavior. There is plenty of research to show how individual differences in the biological activity of testosterone show up as cross-cultural psychological differences in amounts of physical aggressive behavior. But even then, that doesn't account for the differing levels of physical aggression among men between cultures. There you can see that culture matters: just because something is biological doesn't mean it is determinative, and in meta-analyses of studies on physical aggressiveness and testosterone, there are wide variations in aggressiveness, meaning that culture is by far the larger effect.
There is a ton of research showing that cross-cultural differences either really aren't as cross-cultural as the original researchers thought, and that the effects of biology on cross-cultural psychological differences are small. If you aren't aware of it, you haven't been looking for it.
How does Norway punish assertive women?
Not just Norway: they all do. Take this study published in the Harvard Business Review:
https://hbr.org/2015/12/leading-across-cultures-is-more-complicated-for-women
Men are allowed to to share conclusions; women are expected to guide listeners to conclusions. In not even one country were women allowed to be assertive in the same way as men. And this was a study about leadership positions. One might think there wouldn't be gendered expectations for corporate leadership, but there is.
And this is true for all kinds of examples about assertive behavior among women, not just in terms of leadership, but in negotiation and personal views, assertive women sustain social costs for that behavior.
Maybe he wasn't aware of that research?
Then maybe he shouldn't spout out publicly about stuff he doesn't know about. And I'm serious about that. We can't all be experts on everything. It's difficult to be an expert on even one thing. It takes a certain bizarre view of the world to believe you can saying anything about anything publicly and not suffer any consequences for it.
If he really wanted to help, what he really should have done is not try to start a debate: he should have actually talked to people first. Prepare drafts, shop them around first to make sure that people wouldn't find them offensive, and even if they did, at least he would be able to show his good faith privately, and rely on that good will. But it was toxic precisely because he didn't do that. Damore never established the good faith necessary to go further than saying, well, there's a history of discrimination, but well, *shrug*.
There are a number of conservatives who have argued and, in some cases, shown that the ways we are trying to combat discrimination are counter-productive and ineffective, and that there are better ways. That isn't what Damore did. Damore's argument reduces to the idea that women are less effective as a population, and that fighting discrimination shouldn't be a goal of Google's. He did so publicly, under his own name. That was inimical to Google's Code of Conduct, and ultimately, why he had to be fired.
One of the key sentences in the memo was where he blamed the anxiety that women at Google feel because they're neurotic.
"Women, on average, have more: ... Neuroticism (higher anxiety, lower stress tolerance): This may contribute to the higher levels of anxiety women report on Googlegeist and to the lower number of women in high stress jobs." Did he ever consider that it may be because women only constitute 19% of Google's employees and experience stress because they are in a sometimes-hostile environment? No. He blamed it on their sex. Women are just neurotic. They just can't take the stress. That's his argument. If that's not what he's arguing, he shouldn't have included it in the first place. And that he did include it speaks volumes as to his views on women.
I don't know what Damore was trying to do. What I do know is that the memo was not the utmost Damore could do to create a workplace culture free of bias. If you argue that women at Google are anxious because they're neurotic, you are perpetuating bias and stereotype. As the Code of Conduct states, "Googlers are expected to do their utmost to create a workplace culture that is free of harassment, intimidation, bias, and unlawful discrimination."
Other people have explained why it was pernicious, both on the dubious scientism of Damore's claims, as well as the why it was the same old attitude against women in tech:
https://www.wired.com/story/the-pernicious-science-of-james-damores-google-memo/
https://www.vox.com/the-big-idea/2017/8/11/16130452/google-memo-women-tech-biology-sexism
If he was trying to help, it was an epic, critical failure. But I don't think he was trying to help. He was trying to justify his own biases using flawed evidence, in his own insular form of groupthink. If you're trying to help, you get involved, you talk to experts, you learn about a subject in all of its dimensions. You develop the empathy required to understand not only how your message is delivered, but how your message will be received. You don't just spout out half-cocked on a company message board. It's a lesson we all should learn.