The ideal is always a strange thing too. Mathematics works completely fine for most things, but the moment you start imagining "complete logical systems", "ideal programs" that halt when any program input to them halt, you find that your ideal can't exist. Yet, the Hydrogens still fuse, bacteria continue to multiple, fawns prance, ceiling fans spin, cement blocks, not sure what they do in verb form, but they remain heavy I guess...
I recently retook Myers-Briggs and it places me at an extreme intuitive person. MB has scientific issues, but forgetting that, that makes me more susceptible to big, abstracting thinking like this than polar opposite "sensing" people, more concrete thinkers are. However, I've had to learn as a physicist that at the end of the day, things do exist, move around, interact whether I care to ponder them or not, and that I have to sometimes cull my dreaming or ideals and what could be and to look around at what actually exists and think about that too.