Rock, Paper, Scissors

I understand how scissors can beat paper, and I get how rock can beat scissors, but there's no way that paper can beat rock. Paper is supposed to magically wrap around rock leaving it immobile? Why can't paper do the same to scissors? Screw scissors, why can't paper do this to people? Why aren't sheets of college ruled notebook paper constantly suffocating students as they attempt to take notes in class? I'll tell you why. Because paper can't beat anybody, a rock would tear it up in two seconds. When I play rock paper scissors, I always choose rock. Then when somebody claims to have beaten me with their paper I can punch them in their face with my already clenched fists and say "Oh sorry, I thought paper would protect you."