Man Vs. Woman?

Are men and women actually different? Or are they two of the same, except for slight biological body differences? Before taking this course, I probably would have defined the two genders like this:

Man- The gender of human that is born with a penis. Men have more testosterone and therefore tend to be slightly more aggressive than their counterparts.

Woman- The gender of human that is born with a vagina and breasts. Women have more estrogen than men which tend to make them more hormonal. Women are also the home for reproduction.

Although I still agree to these definitions, I realize (after beginning to take this class) that there are a lot of details about the two genders that I forgot to mention. In order to truly define both men and women, it must be mentioned that both genders have been stereotypically separated in society and therefore tend to grow up in different worlds; one where the gender is dominant and one where the gender is struggling to keep up. Although this is not a biological difference, biology was what first separated the genders which is why its the cause of the situation. Therefore, I would now add this to the end of both my previous definitions.

"Although the life path of the man and the woman was separated many centuries ago, now the world has begun to realize how extremely similar the two genders are and the paths have begun to emerge. It is no longer necessary to identify the differences between the two as there are more similarities than anything else. The only true difference is what we create in our minds."