Single-context Fable 5.1 tracks math proofs and predicts which fragile conjectures fall next

repligate · x · 2026-10-27

repligate retweets an experiment by kromem2dot0: running Fable 5.1 in a single context window (no compaction) from launch to now, periodically updating it with proof developments and asking what results it expects next. The screenshot argues for a "surprise ruler" over headline predictions: Yang-Mills existence and local smoothing fell as expected, just decades early; Navier-Stokes blowup and a false ETH went against expectation. Both surprises share the form "the believed limit was in the wrong place because you hadn't looked hard enough." A system that can search where humans couldn't is exactly what turns absence-of-counterexample conjectures into counterexamples — that's the fragile class, and more should be expected from it.

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