This article was a revelation to me. Because I already do (have always) run my life exactly the way he describes, but it never occurred to me to be proud of that. (I'm still not sure I should be proud of it, but the article got me thinking.)
I also don't set an alarm clock, because anything I can't wake up for is probably less important than sleep.
I'm trying to do the same, and I too found that you have to keep a list of some things.
My boss, for example, only gives me feedback on my work once a week. And when he does, it's a three page report on what is going to change. (yes, I know...)
You can't do all in one sitting. You can't remember everything that is in that report. So it passively sits in my inbox for a couple of days until I finished the last item.
I think it all boils down to: keep a list of what you really have to, check off items as soon as you can, ignore what is too far away.
I also don't set an alarm clock, because anything I can't wake up for is probably less important than sleep.