Gotcha - I grant myself my property, which I already had, by way of possession. :)

I see the subtlety of the point you are making - that property is defined collectively (otherwise it is mere possession) - but I am making an equally subtle point about the underlying meaning of that definition: that collective responsibility is just a statistic on a population of individuals, not a statistic about an entity.

There, I've tilted at my windmill for the day.