What separates a runner from a jogger, to me, is a sense of improvement.  I am betting you track your mileage in a training log and note improvement, whereas a jogger goes out and runs and just does it to stay in shape.  They get in their thirty minute jog and they are good.  A runner has a plan.  They are going to do this workout today, and they are getting ready for "X" race.  George Sheehan said, "The only thing that separates a runner from a jogger is an entry form".  I have nothing against joggin, but I prefer to be a runner.  I don't think you have to put a time requirement on it.  Being a runner is a mentality.

I've noticed this seems to be coming up more and more. Personally, I think it is up to the person to define what they are/aren't. I run because I love it - no training plan involved. To me having a training plan would make running more like work (I have to run "X" miles today/this week; I have to cross train "X" days; etc.). I run where, when and how I feel like. To many that makes me a jogger which is fine by me. When I line up (at the back of the pack) for a race, I know I will have fun. It's all good.

Joggers run for fitness, run the same course, and do not strive to improve. A runner runs competitivally, against themselves, their abilities and their fastest times. A runner always strives for improvement and is up for new challenges, such as new courses. A runner also runs for the sake of running not for fitness, to lose weight, attension, or anything else.

My dictionary agrees with you; "to move swiftly on foot so that both feet leave the groundfor an instant during each stride"; and it has this to say under jog; "to run in such a way for sport or exercise"- clear as mud.  I guess I'm both.