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Pentashagon comments on Skill: The Map is Not the Territory - Less Wrong
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It might be good practice to imagine maps without calculus since so many people use them. I wouldn't be surprised if beliefs in things like global warming were divided by the knows-calculus line. How could you even explain climate change to someone who didn't understand that Temperature = dEnergy_in/dt - dEnergy_out/dt + C?
I would probably start by talking about electric heaters and how they convert energy to heat, and generalize a little to talk about the atmosphere being kind of like that. The harder part is explaining that the same energy input can cause not only temperature increases, but changes to wind and precipitation patterns.