What would happen?

[falconblade123]

What if you have Pariah attached to a creature you control and then you play another Pariah onto another creature you control? Which one does the damage go to?

[slaymaster3000]

My guess would be that:
When you would be dealt damage, both of the Pariahs will trigger. You then choose the order in which they resolve.
Once the first one resolves you will no longer be getting dealt damage and so the other will just fizzle.

[Muker]

10/4/2004-All damage being dealt to you at one time gets redirected to one Pariah. If you take 3 damage at once, all 3 damage goes to one Pariah. If you take damage from multiple creatures in combat, all the combat damage goes to one Pariah.
 What I understand is that you choose which one will get hit, but you can't choose that some damage will go to one, and the rest to another one

[Soulless]

This ability isnt triggered, as some guessed above. Instead, it creates static replacement rule. And the order, in which static abilities resolve, is defined by the "Time Stamp". So in any case, only one of Pariah 's would take all the damage dealt to you, and it depends only on which Pariah entered the battlefield earlier.