I like that you bring up that there are some sciences that are more quantify than others.
I use this 'i don't know anything for sure' attitude to remain open to possibilities that fall outside what science can currently measure at all.
Germ theory was once preposterous because we didn't have the instruments to measure them.
We can now measuere gamma, xray, infrared, ultraviolet. On a more gross level, dogs can hear things we can't hear.
Again, Carl Sagan's flatland rap is great at pointing out the challenges of being able to experience extradimensional realities.
To reference a comment you make elsewhere, perhaps the reason why unicorns and dragons exist in myths is because some humans have found technologies that allow their consciousness to go into multidimensional realities and come back and report what they have seen.
Just because these things don't exist within our physical reality doesn't rule out the possibility to me that they may exist in other dimensions... dimensions which may have no physicality in the sense that we experience it at all.
RE: The Tao of Paradox | Part 1: The Only Thing I Know For Sure