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Why cant women ever approach men?
It's not a matter of 'can't.' Women can, and do, approach guys. It is much rarer for a couple of reasons, mainly evolutionary adaptation and cultural norms.
Evolutionary Adaptation:
Almost completely universally through the animal kingdom, females are the selectors. Women choose which man they want, and as such the male of the species needs to display to the woman that he is of high value. This makes sense because for men to procreate is easy, whereas a females choice has many long term consequences and choosing the best mate possible is key. Examples of men displaying greater status or value as a mate are things like a male peacock's plumage, a male Bird of Paradise's dance/mating call, and the human mind. Our brain is our sexual ornament, and those who display the greatest intelligence (emotional and social intelligence, not nerdy intelligence) appear most attractive to women.
Women don't approach men because it is in their biology to have men vie for their attention and impress upon them high value. We are wired to chase women, they are wired to be chased and decide on who to choose. Men are the aggressors, the dominant sex. Men are the hunters, we are always looking to stick our spears in our prey.
Cultural norms:
There are societal norms and cultural adaptations that govern the way we act. In psychological terms, these are called 'display rules'. We learn through our own culture what is right and wrong, what to and what not to do. Many of the things we learn are wrong, have nothing intrinsically wrong about them. These are just habits and accepted rituals that are passed down through generations. In this instance, it is a display rule that women should be submissive in social interactions, and have men chase after them. I would argue that this display rule is founded on evolutionary adaptation, but the degree to which men are supposed to chase women may have been greatly skewed by these cultural adaptations.
Science aside, just accept the facts. A woman will not approach you unless you have a combination of 2 things going for you.
1. She is very friendly, outgoing, adventurous, and non-traditional
2. You are seen as warm, fun, approachable, good looking, and high value (social proof)
It can and will happen, sometimes. However, if you want to meet women, you are going to have to approach. And conversely, women want you to approach them. So go hunting for some game and stick them with your spear.