Solving the Agrippan Trilemma: Triveritas and the Third Horn

The Agrippan Trilemma holds that any attempt to justify a claim must terminate in infinite regress, circularity, or dogmatic stopping. No major epistemological framework has solved it; each concedes one horn. This paper solves the Trilemma by demonstrating that the Triveritas survives all three horns, identifying an amphiboly in the third horn that renders the argument invalid, and providing a counterexample that falsifies the Trilemma’s claim to universality. The Trilemma’s third horn rests on an amphiboly: it conflates “terminates” with “terminates arbitrarily,” treating the two as logically equivalent. They are not. The Triveritas, which requires the simultaneous satisfaction of three independently necessary epistemic conditions (logical validity, mathematical coherence, and empirical anchoring), terminates at three stopping points of fundamentally different kinds, each checked by the other two. The probability of error surviving all three checks is strictly less than the probability of surviving any one; this is proved mathematically and confirmed empirically across twelve historical cases. Termination that is independently cross-checked across three dimensions is not arbitrary. It is not dogmatic. And it is not the same epistemic defect the Trilemma identifies. The third horn breaks because the Trilemma never distinguished checked termination from unchecked termination, and that distinction is the one upon which the entire Trilemma and its claim to universality depend.