I can agree with your first point, sometimes I do wonder if I am slightly schizoid. But as I responded to someone below, I actually have a slightly more disciplined approach to my idea making. What you refer to as an idea, is the first of 7 stages an idea goes through with me. I call them sparks, or seeds. Some of these make it through all the stages, ending up as a physical prototype, or even a piece of beta software, some of them get shot down early in the process due to them being crap, or due to the fact that I don't have enough knowledge of the specific field to take it any further without knowing if I'm heading into "complete bunk" territory. That's why I have a few ideas which are math based that are stuck in limbo: I am currently trying to research what work had been done on the problems, and then how to teach myself the relevant skills to see if I can move with the ideas themselves. (But it's such a huge field I lose faith as I wade through the texts available)
But math is just one of many areas I work in.
