Mathematicians and scientists have vague folk theories of what math and science are that both are blurred ancestral memories of pre-WWII logical positivism.
These theories are totally wrong, but do little *direct* harm because they are mainly ignored in practice.
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"Where do the assumptions of Econ 101 come from, and to what extent are they realistic?" is an *advanced* econ question; if you get hung up on doubting axioms before your teachers are willing to discuss them, you will not do well in economics classes
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"what counts as a valid argument for the purpose of academic philosophy" is just...not a fun question to ask at all, is it.
End of conversation
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I remember a scene from a Neal Stephenson book where the main character is asked a basic physics question about a bouncing ball for military placement. He gets stuck trying to figure out differential equations to calculate tides and ends up being put in the marching band.
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