I, in no way believe that science is incompatible with intuition. Without intuition we wouldn't have any new discoveries.
What I was trying to say is that you cannot scientifically study intuition. The constraints that science currently works under, pushes intuition away. Its like a box, that inside the lab is empty, but in a forest it is full of wondrous stuff.
Sorry for misinterpreting your comment there. I definitely agree that science pushes intuition away. But I also think that it's possible to scientifically study intuition. That doesn't mean that it results in a successful study that boils intuition down to its physical/chemical mechanism. But it does mean that we can try to learn about it with controlled experimentation.
I agree with what I think you said.
But, I disagree with you symantically.
Science - from the same root worth as scythe. To cut apart. Or taking apart to understand. Breaking everything down.
There is also putting things together to understand them.
physics and metaphysics are not two separate fields. They are one continuous whole. And when you discard metaphysics, you end up with stupid science that can't understand consciousness or intuition.
Whatever we call the study of things happening in the future, that will be able to study intuition. And, there is already great amounts of detailed study on intuition in mystic traditions like Zen and Buddhism.