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Vaniver comments on Living bias, not thinking bias - Less Wrong
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(The answer to "Is the Sun orbiting Earth?" is "No, the Earth is spinning, and the Sun stays put," not "No, the Earth orbits the Sun.")
Er, the sun orbits the center of mass of the solar system, doesn't it?
EDIT: I just now realized the question about orbits is not "how do these bodies travel through space?" but "why does the sun move across the sky?", and that makes everything make more sense.
Well, the center of mass of the solar system is close enough to the center of the sun that within the frame of reference of the solar system it can reasonably be said to be staying put.