You and a friend are trapped in the desert and you only with one jug of water between you. Do you split the water, in which case neither one of you will have enough to make it out of the desert, or do you keep the jug for yourself and leave your friend to perish? The gemara (B"M 62) has a machlokes: Ben Petura holds that loving your neighbor as yourself means splitting the water. R' Akiva, however, holds that "chayecha kodmin", a person's own life takes precedence.
Superficially understood, the central point under dispute is what the ethical solution to this dilemma is. However, and I'm not sure who he is quoting, Rav Moshe Kasher in his Perakim b'Toras haChassidus (p. 5-6) learns otherwise. In his interpretation, everyone agrees that the ethical ideal is to split the water -- the sevara of ben Petura is accepted as valid. R' Akiva's argument is that in spite of the ethical ideal, there is a gezeiras hakasuv of chayecha kodmin that determines how to act.
I thought this was a fascinating approach to the sugya in that it puts the din, the legal solution, at odds with (and in fact superior to) the moral ideal. I'm not sure what to make of seperating the two -- food for thought.