A dilemma

The scenerio goes like this: If a train with 500 strangers on it is headed toward your child, and you have a chance to derail the train but it will kill all 500 people on board, would you do it? Nick at work posed this to me a year or so ago and I said it was unanswerable. This book I'm reading has something to say about this...

It says that traditionally more men have been trained on a "justice" ethic which is more a set of rules which apply across the board, regardless of relationships. Someone of this perspective would say that 500 lives are more important than 1, so do not kill 500 people to save 1.

It says that more women have traditionally been raised with a "care" ethic where the nature of the relationship is more important than the rules. Someone from this perspective would say that my child is my child, and therefore no one can blame me for saving my own child, no matter how many people I have to kill in order to do it.

So what does this say about me? Am I conflicted? And for those who want to wipe out a train full of strangers, many of which might be children, I still have a question. If your child is dying of heart failure, but at the top of the transplant list, do you shoot the neighbor's kid to create a donor? Lets say they're a blood relative, for some reason involving a temporary lapse in judgement.

So what would you do about the train? Do you fit the gender stereotype? And what's wrong with me that I don't fit either one?