This passage from Luke's summary is similar to what @catherineols and I were trying to say earlier today:pic.twitter.com/lZILQAPaS8
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What distinguishes your position from the guy in math class claiming that there exists no absolute definition or way of counting apples, so 2 apples + 2 apples can't be said to yield 4 apples? Sure it's an ontological objection, but the answer is a sigh and to go on using math.
That is a case in which one choice is almost certainly better than others (and it’s obvious which). I am not advocating unbounded relativism! In many cases, it *isn’t* obvious what ontology will work well; and meta-rationality is about how to deal with that.
Example. I have some electronic circuit. Is a Kirkhoff’s Law approximation good enough? Or is it small enough that I have to go all the way to Maxwell’s equations? Or even, do I need a relativistic correction?
Well, if you pick an approximation that gives you wrong answers, I suggest you update against your hypothesis that the circuit was large enough and the math such as to make that a good approximation.
Yes: this is an instance of meta-rational reasoning! Note that it’s not based on general-purpose a priori considerations, but the domain-specific observation that circuit size is a major contributor to what ontology is appropriate.
Are you under the impression CFAR doesn't teach this? They do. In practice, math teachers also teach the meta-math of deciding how many apples there are to add, aka "counting". They even teach "casting out nines", a higher criterion for deciding if a math calculation was right!
If I may jump in and observe, I thiiiink the distinction here is whether "EV maximizing" is just a tool/framework like other tools, which can be appropriate at some times and not at others, or whether it's closer to objective like "shortest path" in the maze example.
Yes! This has been a very interesting discussion—thank you all! I’m going to sleep now… I may have more to day tomorrow :)
If you think it's hard to pin down what "rationality" means you should try pinning down what "science" means. Or morality, or preferences, or belief, or... etc.
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