What would a function called "believe" do?
I can imagine such function names in, say, artificial intelligence projects, but even there used (probably) in a loose way. I suspect few web applications or iPhone games or flight control programs would be doing any "believing", real or imaginary.
Of the words you suggested, "sense" seems most likely to appear in real use, as robotic software and such may be literally accessing sensors.
Indeed, unless you were doing, say, work on some scientific survey about people's beliefs, or whether school children understood a passage, or a game where these are literally mechanics, or something like that, i'd even be loathe to suggest ever seeing those as either function names or as variable names.
Its bad programming style 101 to give your variables/functions names that have some kind of cognitive connection/bias in people's minds apart from the function they actually serve in the code, and those are some pretty loaded words in most cultures...