At the cost of being extremely annoying, what does "a truth we can't empirically prove" look like?
> Art is more concerned with human experience and seems like a different thing.
Isn't the same true for philosophy? Part of the reason why philosophy is a meaningful field of study as opposed to complete charlatanry is that it "points" towards parts of human experience that aren't quite captured by math/science/models. Philosophers trying to be natural scientists would make terrible philosophy and terrible science.
Minor nitpick:
> science and math
Science and math are very different beasts. Math is a meaningless game you play with symbols. I'm not serious, but I'm not joking either. There are zero assumptions of any kind mathematics makes (except primitive concepts and axioms, which are themselves mathematical objects), as the old joke goes: science talks about the universe, math talks about a universe. Math is kind of unique in this respect, no other discipline is quite like it.
> Art is more concerned with human experience and seems like a different thing.
Isn't the same true for philosophy? Part of the reason why philosophy is a meaningful field of study as opposed to complete charlatanry is that it "points" towards parts of human experience that aren't quite captured by math/science/models. Philosophers trying to be natural scientists would make terrible philosophy and terrible science.
Minor nitpick:
> science and math
Science and math are very different beasts. Math is a meaningless game you play with symbols. I'm not serious, but I'm not joking either. There are zero assumptions of any kind mathematics makes (except primitive concepts and axioms, which are themselves mathematical objects), as the old joke goes: science talks about the universe, math talks about a universe. Math is kind of unique in this respect, no other discipline is quite like it.