philosophers answer clean questions that can be settled with formal argument
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I think the example of philosophy might actually be a good case for exploring problems with this model of disagreement. Particularly when people start arguing from high-level intuitions that they nonetheless have difficulty breaking down, or when at least one of the people arguing is in fact deeply confused and is going to say some things that turn out to be nonsense, or when breaking down the problem in a particular way implicitly endorses certain background assumptions. Productively making use of disagreements under these conditions seems, to me, to require being willing to try out lots of toy models, attempting to “quarantine” the intuitions under dispute and temporarily ignore their fruits, and trying to find ways to dissolve the disagreement or render it moot.
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I think the example of philosophy might actually be a good case for exploring problems with this model of disagreement. Particularly when people start arguing from high-level intuitions that they nonetheless have difficulty breaking down, or when at least one of the people arguing is in fact deeply confused and is going to say some things that turn out to be nonsense, or when breaking down the problem in a particular way implicitly endorses certain background assumptions. Productively making use of disagreements under these conditions seems, to me, to require being willing to try out lots of toy models, attempting to “quarantine” the intuitions under dispute and temporarily ignore their fruits, and trying to find ways to dissolve the disagreement or render it moot.
I switched back to “mathematicians,” I think philosophers do this sometimes but they also do other stuff so it’s not a good example.
I think philosophy is a fine use case for this approach, it’s messy but everything ends up being messy.