As for the Naval Gunner, the point is that he would be right in other fields than fundamental physics. In weather forecasting long term forecasts using coarser models are actually more accurate than those using fine meshes, because of the chaotic behaviour at smaller scales.
I don’t quite agree here. It’s true that chaotic interactions and floating point multiplication errors mean that long-running fine-grained maps are less accurate than long-running coarse-grained maps, but it seems cleaner to consider that a fact about computer science, not meteorology.
Thanks for pointing to the more recent EY post, which I look forward to reading. No time tonight.
I would actually recommend Hands vs. Fingers first if you haven’t read it yet. It’s shorter and may be more directly relevant to your interests.
Re Hands vs. Fingers. What worries me about this is the lack of any attention to the different contexts/purposes of different statements about hands & fingers. I have added a comment to the original post to amplify this.
it seems cleaner to consider that a fact about computer science, not meteorology.
I’d call it a fact about any system whose trajectories diverge at a smaller scale and converge at a larger scale (roughly), but that’s a radical view that needs a new discussion some time.
I think I can see a useful way of taking the reductionism question further, but will do more reading first...
I don’t quite agree here. It’s true that chaotic interactions and floating point multiplication errors mean that long-running fine-grained maps are less accurate than long-running coarse-grained maps, but it seems cleaner to consider that a fact about computer science, not meteorology.
I would actually recommend Hands vs. Fingers first if you haven’t read it yet. It’s shorter and may be more directly relevant to your interests.
Re Hands vs. Fingers. What worries me about this is the lack of any attention to the different contexts/purposes of different statements about hands & fingers. I have added a comment to the original post to amplify this.
Thanks again.
I’d call it a fact about any system whose trajectories diverge at a smaller scale and converge at a larger scale (roughly), but that’s a radical view that needs a new discussion some time.
I think I can see a useful way of taking the reductionism question further, but will do more reading first...
I mentioned back in April that the point about chaos and computer science needed a proper discussion. It is here.
I also mentioned another way of taking the reductionism question further. I was referring to this.