Psychologists who use trait typing define intuitive thinking differently than the mystical defintion. It simply means being able to grasp general principles and ideas before details, thinking from generalities to specifics rather than using specifics to get to the "big picture".
There' s nothing weird about it, it's just a more right brained way of learning. I'm a right brained intuitive thinker...but only about 25 % of the population is.
It is less common than left brained detail and logic oriented thinking, but I tend to grasp what's called "global concepts" quicker than what is usual.
It also makes it hard for me to get to the details sometimes. I hate details...they tend to trip me up. Both kinds of thinking are useful, both exist in everyone, but one trait is usually more predominant than the other.
If you go to a psychologist and they test you, you can find this out. It's a bunch of questions that let them know how you learn and think.
Intuitives tend to be more "outside of the box' thinkers, good with broad concepts, but it can just seem flakey to people who aren't. Also, since most people have to work through the details step by step to get to the general concept, they can often think you're "cheating" if you're an intuitive thinker, because they can't figure out why you got to the end result faster, and it's a rarer thing. One isn't better than the other, just different kinds of learning and using your brain.
I don't know what "the Secret" is but I'm thinking someone made a bunch of money off of it. Just a hunch.