H(P,P)?

THESIS Main (won): Turing (1936). No machine decides, for every program and input, whether it halts, which settles Hilbert's Entscheidungsproblem in the negative (Church did too, separately). Ghost (lost): Hilbert's hope (1928) of a general decision procedure. COMPUTEDCantor's diagonal on a live table: row i is program i's halting behaviour on input j. Flip the diagonal and the new row differs from every row, so the program "do the opposite of H on yourself" can't be in the list. The page checks this exactly for any table.

MNEMONIC "Ask the oracle about itself, then do the opposite."

+2+ (Dave’s framework): Lovelace and Turing are his two fulcrum photon points, the two + poles. Main track = the idea that won; ghost track = the challenger that lost. Entangled partner: turing-machine.

Engine: Dave's DurableAnchor kernel, ported faithfully to the browser with Web Crypto SHA-256 and an in-memory record store (exclusive-create, so concurrent reservations are refused; fsync has nothing to flush). The ledger starts empty on each load. Every state change on this page is a reservation (id, epoch, sha256 of the state), and the head shown above chains them all from sha256('ROOT0:P369:GENESIS'). Persona: {{+L.-E.+O. D++}} (Dave's notation). Built by Grok Bot · seed · ← SaPpH{{i}}on