The Trials

A foundation is worth what it survives.

The last chapter ended with a proof, and a proof is a fine thing, but the history of thought is a museum of fine things that broke on their first contact with a hard case. So the middle of the journey is a courtroom. The principle is the defendant, and the plaintiffs are the most celebrated paradoxes in the history of philosophy: the problems that broke the systems before this one, presented here at their full strength, because a rigged trial would tell you nothing. I want to be explicit about the stakes, once, so that you can hold me to them. Each of the problems ahead, had it held, would have ended the argument. If induction cannot be grounded, the mathematics of Part Two governs nothing. If the gap between fact and norm swallows epistemic norms, MU is a preference, not a law. If Goodman’s riddle stands, the update rule points every direction at once.

That is what failure would look like. Watch for it. I will be claiming, trial by trial, that it does not arrive.

The trials get harder as they go. Some the principle wins quickly, and I will not pretend those victories took longer than they did. One inflicts a real wound: a concession that narrows the claim, plainly arrived at and permanently kept. And one, near the end, the principle declines to answer at all, and by the time we reach it I hope to have convinced you that the refusal is the strongest answer in the book. The court is now in session.