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RobinZ comments on Rationality Quotes January 2013 - Less Wrong
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Viewing the interactions of photons as both a wave and a billiard ball. Both are wrong, but by seeing which traits remain constant in all models, we can project what traits the true model is likely to have.
Does that work? I don't know enough physics to tell if that makes sense.
It doesn't give you all the information you need, but that's how the problem was originally tackled. Scientists noticed that they had two contradictory models for light, which had a few overlapping characteristics. Those overlapping areas allowed them to start formulating new theories. Of course it took ridiculous amounts of work after that to figure out a reasonable approximation of reality, but one has to start somewhere.