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JGWeissman comments on Supernatural Math - Less Wrong
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No, I'm not holding that there actually is such a world, only that there would be no reason to apply our reality's rules to such a world. My real point is that the logical follows in actual historical fact from the physical, rather than being some sort of special knowledge that can be deduced without reference to anything physical.
Really, our beliefs about the logical follow from the physical. Don't confuse the map with the territory.
Heh. This is precisely the question, isn't it? Are logic and mathematics in the territory somewhere or are they the language of the map?
The way I see it is that logic is a territory, my beliefs about logic form a corresponding map, and that map is useful for constructing maps of other territories (and the accuracy of those maps is evidence of the accuracy of the logic map).