Dr. Bradley never attempted to show that that assumption was necessarily true. So I think that he has failed to show any sort of logical inconsistency between God's being all-loving and some people freely rejecting God and being lost forever. But as I say, it seems to me that P is completely false. P would imply, for example, that a description of God, who exists in all logically possible worlds, is somehow a meaningless description because the opposite cannot be true. And that's just wrong.
P is false.
It's probably necessarily false. Now Dr. Bradley made a good deal of quoting the fiery images from the Bible, which are one image among many others, and these images are generally taken to be metaphors. These are metaphors for eternal separation from God. He quit reading right in the middle of the verse. And that's really the essence of what hell is.