I think precognition and empathy and perfectly, and scientifically, valid. I even think telepathy might be.

I mean our ears are so sensitive we can hear atoms of air vibrating. Some people might be able to hear individual cells firing in somebodies brain.

Empathy is caused my mirror neurones. When you have an excess of them, you look at somebody, and they fire to cause you to feel what they are feeling.

And many people are more observant than others, they absorb all information, put it together, and there mind pops out likely predictions.