Let p = 'truth is paradigm-relative'
- Either p is paradigm-relative or p is not paradigm-relative.
- If p is not paradigm-relative, then p is absolute and objective, and thus paradigm-relativism is false.
- If p is paradigm-relative, then there are no grounds on which to argue that p in the face of someone who doesn't already accept p.
- (Therefore) Either p is false or p is groundless.