So yesterday, I posted about the Agrippan Trilemma, also known in its modern formulation as the Münchhausen Trilemma, which is considered a significant philosophical device that has successfully asserted how any attempt to justify knowledge leads to one of three unsatisfactory outcomes: circular reasoning, infinite regress, or dogmatic assertion. A number of you agreed that this was a worthy challenge that would provide a suitable test for the epistemological strength of the Triveratas.
And while the purpose of Veriphysics is not to expose the flaws in ancient or modern philosophy, as it happens, the Triveritas is not only the first epistemological system to be able to defend itself successfully from the Trilemma, but in the process of defending the Triveritas from it, Claude Athos and I identified a fundamental flaw in the Trilemma itself that renders it invalid and falsifies its claims to universality.
So, if you are philosophically inclined, I invite you to read a Veriphysics working paper that both solves the Trilemma for the first time in nearly 2,000 years while additionally demonstrating its invalidity.
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.