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Dentin comments on Harry Potter and the Methods of Rationality discussion thread, July 2014, chapter 102 - Less Wrong Discussion
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How many billion people would be better off if allowed to immigrate to GB?
Utilitarianism is about counting everyone's utility the same. "Shut up and multiply" - where multiply is the number of people, not a weighting factor for how much you give a shit about them. That weighting factor should be 1 for all.
Not that I'm a utilitarian. But a libertarian utilitarian would have his work cut out for him to overcome the basic tenets of non initiation of force and weighing everyone's utility equally to justify limiting immigration.
People would only immigrate to GB until there was no further utility involved in doing so. It's highly unlikely you'd end up with even one billion people there, even assuming that they could all fit.
Perhaps the phrase should not be 'shut up and multiply', but rather 'shut up and integrate'.
That was expressed better in Snow Crash:
"...once the Invisible Hand has taken away all those historical inequities and smeared them out into a broad global layer of what a Pakistani brickmaker would consider to be prosperity..."