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Proton Soup said:i'm not confusing a thing. i didn't say axioms were data, i said data were things that are not axioms, that is, "everything else".
now, any time you make an observation, you're relying on your senses. even the things we can't sense directly are sensed indirectly with tools that were forged by humans all the way up the chain. everything we "know" about the universe is fundamentally based on how our bodies interact with it. in the end, all those facts are perceptions. we can all agree that most of us perceive the same thing most of the time, but that's as good as it will ever be.
Again, empirical sciences don't have axioms. Data are quantifications of observations. A leaking faucet is not an axiom and is not a datum, it is a fact. If you measure the rate of flow of the faucet, this is a datum.