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casebash comments on Consequences of the Non-Existence of Perfect Theoretical Rationality - Less Wrong Discussion
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That's because it is a once off offer. You can't get stuck in a loop by accepting it.
"The argument that you can't choose infinity, so you can't win anyway, is just a distraction. Suppose perfect rationality didn't exist for a particular scenario, what would this imply about this scenario? The answer is that it would imply that there was no way of conclusively winning, because, if there was, then an agent following this strategy would be perfectly rational for this scenario. Yet, somehow people are trying to twist it around the other way and conclude that it disproves my argument. You can't disprove an argument by proving what it predicts"
It's not what it predicts, it's what you say about what it predicts, that is problematic.