If you would, what kind of differences are there between the two?  I mean, just to kind of discuss it.  How would you train a woman for either leanness, more muscularity, or just general health, and how would it be different for training for a man?

so, no difference?

it just seems like there's something there.  i can't exactly put my finger on it.

just as a (kind of) example, i have a little story about an experience i had in the gym. 

I'm not the most physically stunning specimen evar (not that i'm bad off, just not peak...anything).  And i was there, early on in my weight training career, doing curls.  A trainer there, a woman about 25 years old and with a fantastic (buff but not the leanest) build was kind of showing me tips here and there.  Of course i was just taking any opportunity to talk to her, but that's besides the point.

So she was showing me this one kind of superset with curls, 8 reps with say 40 lbs, 10 with 35 and 12 with 30.  Maybe a 5 or ten higher, I can't really remember.  But anyway, this girl should blow me away by the looks of the both of us, and we were doing the same thing.  She may have even been going lighter, though.

So she says something to me along the lines of "If i can do this, you certainly can".  Now, my first (and probably correct) assumption is that it was just an ego stroke, something to keep me going.  Typical trainer stuff.  But the thing that made me think about it more was just that, I wasn't really needing it.  It was just the kind of inflection you get when there's some less than proud truth to it, you know?

I've never really been the kind to say that women have some difference in the actual muscle tissue than men, just that they naturally have less.  But there's this strange thing that this girl who was noticeably more muscular than a lot of the guys in there almost always trained lighter, and has had trouble with some weights that i did not have too much trouble with.  It could be she was just fatigued by the time she got around to them, but I just don't think that's the case.

So, that's kind of why I wanted to ask, just to find out IF there are any differences maybe I should know about.

there are some good points in that list, I like the one that talks about social hinderances

In fact, around 8-12 years of age, girls are often stronger than boys.