That I know how to do arithmetic is a fact about the world.
Does this make either epistemology or mathematics empirical?
We test whether I know by making experiments. Does the verb 'to know' mean something beyond the quality of these tests?
Yes, but this is because we don't understand what an 'experiment' is - specifically, we don't understand that whether an experiment has taken place, and what it's outcomes are, depend upon semantic considerations that cannot be eliminated, cannot be exchanged for something which looks more mechanical.
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