95' SC1 not starting

[hyldalea]

Okay, running an errand today, when I got back in the car to leave, it wouldn't start all of a suddon. I haven't had any starting problems before this, even today when I left my house it started fine. It would not even crank at all. It wasn't the battery because the radio still came on, and the dash lights all came on for a few seconds just like they're supposed to, none of them stayed on indicating a problem - the damn thing just wouldn't start! There was no winding, no cranking, no clicking - no noises at all. I tried to start it several times - every few minutes or so but it would not start. Then just as my sister was pulling up to take me home I thought I'd try one last time and it started. However, when I got home and turned off the car, I waited a minute and tried to start it again and the same thing happened -no starting. A few hours later I went out, it started this time, so I turned it off and on 2 or 3 times - it started each time. I don't want to get stranded anywhere again. Does anyone know what this could be, or at least a good place to start looking? A short maybe?