Of all of the questions in philosophy, I believe that by far the most interetsting and deep is "what is mathematics?" I feel like the majority of questions in philosophy are easy, and amount to just getting the language straight (I wouldn't go so far as to just call them games though). Many philosophers think there are deep unanswered questions
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However, at least for most anti-realist types now, I think, the claim is not that there isn't anything other than our sense data, or that all that exists are what are necessary for describing our perceptions. The idea is that we just don't have any epistemic justification for believing in those things we can't observe. So it is more like your second option, and that for the things we don't observe we just have no evidence for (or against) them and so we lack any ( ... )
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