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For questions about mathematical problems arising from physics, the natural science studying general properties of matter, radiation and energy.
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Explanations for mathematicians, about the falsifiability (or not) of string theory
It is in general true that if you pick any "theory" in physics, if it disagrees with experiment you can find some more complicated version of it that evades this disagreement. … In this sense, most physics theories are "unfalsifiable", but this just shows that "falsifiability" is a somewhat more subtle issue than one might naively think. …