I believe in forcing everyone to become equal. This will be done through handicaps, maintained by the U.S. Handicapper General. I nominate Diana Moon-Glampers. She knows how to wield a double-barreled shotgun.
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As far as the discussion so far hasn't spawned about a dozen different arguments (which it looked like it has) I would add the following in my own view: Equality of opportunity isn't just about money or inheritance, and that can't really be argued in a modern society. If you really wanted to achieve equality of opportunity a society would have to provide for many essential needs to a person's success from youth/childhood - in other words, education, healthcare, and so on. Just having an inheritance or money or whatnot at say age 18 doesn't matter if large numbers of citizens never had much opportunity regarding the above. Furthermore that doesn't prevent, say, children of the very rich from living out luxurious lives and having advantages before any relatives die, but it's at a bare mininum a start. (and you can't really argue for taking children away from their parents or something, not starting joke dystopia arguments on that here, just continuing the thought)