I'm having trouble imagining by what stretch of the imagination you could call decision theory an account of reality and then declare it to be false. What does a universe look like in which decision theory is 'true'?
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People who invoke “culture” here typically want to argue for some kind of extreme relativism under which they are allowed to win any argument by dismissing factual evidence and saying everything is just power politics, so they win because they are more oppressed than you.
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Words are mostly irrelevant to the issue, I think. The problems are ontological, not linguistic. It doesn’t matter what you call a categorical distinction; it matters how you draw it.
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Suppose I suggested you can have a distinguishable solid subsystem of a fuzzy system. Distinguishing objects in the environment is fuzzy, assigning meaning to "three" is fuzzy, but once counting and naming is done, the arithmetic subsystem is locally quite solid.
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Yes! Rationality works, when it does, because somehow inferences within the mathematical system turn out to be true-enough in the real world.
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