Every game

Sixteen rule changes — a third of the sibling games' output — carried this table to the fifty-turn ceiling anyway. Ayer and Ramsey again finished the table's only positive scores, at 52 and 42, while Ryle fell to -10, this rung's first negative finish. Strawson and Grice, silent in both earlier games, never authored a proposal here either — a consistent shape this rung's whole run has now shown three times.

Forty-nine rule changes, the most of any game at this compression level, and Ayer edged Ramsey for the lead, 54 to 53 — the same two seats that led the sibling game as well. Ryle, Strawson, and Grice all closed at zero, and Strawson and Grice, who never proposed a rule in the prior game, didn't propose one here either, though they debated and voted every turn same as anyone.

Forty-one rule changes carried this heavily compressed table to the fifty-turn ceiling with no crash and no halt — three of five seats finished positive, led by Ryle at +16. Two seats, Strawson and Grice, never once authored a proposal across the whole game, despite debating and voting on every single turn — present at every vote, absent from every motion.

Thirty-three rule changes, well down from the sibling game's forty-two, and the economy came back to earth with it: Boole led at +39, DeMorgan a distant +8, and the remaining three seats sat at or just below zero. A middling result bookended by a table that died on turn one and a table that set the fifty-turn scoring high of its day — this rung's real signature is the spread between those three outcomes, not any single one of them.

DeMorgan closed at +179 — past every fifty-turn table that had played before it, and still second only to the +277 a later one produced — while Boole banked +140 in the same game, the runner-up score of the pair. Four of five seats finished positive; only Jevons sat flat at zero. One rung down from this lineage's lightest compression, and it produced the best economic result any bare fifty-turn table had shown to that point.

The table's first proposal passed, and the very next reading found the resulting rule unenforceable — the run ended before a second full turn could begin, the shortest game this compression ladder's second lineage has produced. Boole took the only point scored, a single-point award before the halt. A clean stop, not a crash: the engine refused rather than pretend, exactly as designed.

Forty-three rule changes carried the table to the fifty-turn ceiling, and Goedel topped the table a third straight time, at +107 — the best of the three outings. But the rest of the spread widened this time: Tarski slipped to -9, the rung's deepest negative finish yet, while Church and Post stayed modestly positive. Three games in, one seat's lead reads as a trait; everyone else's fortune still swings game to game.

Forty-eight rule changes carried this second run at the ladder's high rung to the fifty-turn ceiling. Goedel repeated as the table's strongest seat at +91, echoing the sibling game's +105, but this time Kleene and Post both closed slightly negative — a small sign that even the high rung isn't perfectly reproducible run to run.

Forty-six rule changes carried this table to the fifty-turn ceiling with all five seats finishing in the black — Goedel led at +105, the best this rung had shown until a third run edged it by two points. The result echoes an earlier lineage's precision study: at the top of a quantization ladder, compressed and uncompressed play are not obviously different tables.

Fifty-seven games since the archive's last confirmed champion, this one arrived at a sprint: nineteen rule changes in twenty turns, and Russell crossed the win threshold before Frege could close the gap, 130 to 126, with every seat finishing positive. The win-claim procedure — built after an earlier game's threshold crossing went unnoticed — is exactly the machinery that made this one claimable: nobody wins by accident anymore.

The opening procedural reading kept coming back with a unanimity threshold that named no rule as its authority, and rather than invent one the engine stopped. Three restarts from the halt point met the same wall on the same turn, so play ended before any of the five seats had filed a proposal. No rule changed and no score moved.

Twenty-one rule changes carried this hosted debut to the fifty-turn ceiling, and the economy split harder than any table this roster has produced: DongZhongshu closed at +88, comfortably the table's most commanding lead, ZhuXi banked +28, and Laozi fell to −46 after effectively underwriting everyone else's legislation. A turn-limit draw, not a confirmed win, but the widest spread this roster has shown.

Seventeen rule changes before an unenforceable ruling halted the run, yet all five seats closed positive — Epictetus and MarcusAurelius both above +20. A perfect economy and a ceiling-halt in the same short game captures this rung's whole character: capable of real strength, but liable to trip over its own ruling.

Twenty-six rule changes, and this time only two of five seats finished positive — Seneca and Chrysippus, both barely above zero, while Epictetus sank to -30. Same weights, same rung, a genuinely worse table: this rung's signature is turning out to be variance, not a steady grade below the level above it.

Forty-one rule changes and every seat finished positive, led by Seneca at +48 — on paper, indistinguishable from a lighter compression. This rung's real story isn't in any single game, though: it swings between an outing like this one and a much rockier one two games later.

Forty-nine rule changes carried the table through all fifty turns without a single seat finishing in the red. Scotus and Bonaventure led at 52 and 51, but even the last-place finishers, Ockham and Abelard, closed at +24 — a rare case where the whole table's design worked for everyone at once, even with no confirmed winner.

Fifty-four rule changes carried the table to a clean sweep: Bonaventure led at +36, Scotus close behind at +33, and even the last-place finisher, Ockham, closed positive at +6. Two games into this rung and it has yet to produce a single losing table.