how one little disc can hurt my fingers so bad is beyond me

So the other night after work peter and i walked to the little park behind my apt to play a little frisbee before it got dark (got our frizz on as I like to say). After breaking all of my perfectly filed nails, the stupid plastic disc kept slamming into the ends of my fingers. I'm all for playing again, but next time I need a little protection.

I'm thinking these: