Women having less power is not biological, it's cultural. There are cultures where women are more important than men and hold the power. You're just not looking hard enough. Most of your points are based on certain societal perceptions of what a woman should be.
There are more great male scientists because on the bell curve of intelligence women are grouped together in average intelligence with less outliers mostly because average is good enough to survive. Men are all over the place and are usually the most intelligent or least intelligent. On top of that outliers usually have great social problems which would be terrible for care takers.
|