Most parts of philosophy are worth studying. Though the LW sequences are amazing, it would be supremely arrogant and highly irrational to study only the sequences. I would recommend philosophy of science--get an introductory book and then read the most important works mentioned there. Epistemology and deductive logic are also very useful. Philosophy of mind is obviously very useful/important (though a bit harder IMO). And of course statistics.
Give an example of a non-trivial question which philosophy of mind addresses.
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