I agree that the total of human being is much greater than the sum of its parts, and we are a mystery unto ourselves. Analytical thinking is not all there is, there is also great power in our use of irrational thinking. It's said there's a thin line between genius and insanity, for example. Einstein was quoted as saying "imagination is more important than knowledge". He didn't mean that we could daydream our way into discovering a theory of general relativity, but that one has to have the strong foundation in knowledge first, and THEN extend the ideas into the realm of imagination. The rational mind sets the framework for the irrational to make abstract associations.
Psychology. Ooh yuck I got some on me!
Not sure if it's been mentioned here, but recently Hawking warned that computers, AI, could one day pose a serious threat to humanity.
Stephen Hawking warns artificial intelligence could end mankind