In my own research when I'm working with equations, I never feel like I really understand what I'm doing if I'm solely relying on the mathematics for my understanding. I need to have a visual picture in my mind. I'm constantly translating from the math to some intuitive mind's-eye picture.
Brian GreeneHow can a speck of a universe be physically identical to the great expanse we view in the heavens above?
Brian GreeneFalsifiability for a theory is great, but a theory can still be respectable even if it is not falsifiable, as long as it is verifiable.
Brian Greene