carlok — zsh — 88×30

cat _posts/2026-09-06-parsimagma-the-820-infinite-only-pairs-enumerated.md

parsimagma: the 820 infinite-only pairs, enumerated

parsimagma now enumerates, pair by pair, every implication that is false in general but holds for every finite magma: 820 ordered pairs — 610 from the unresolved hard core and 210 from the saturation-refuted set — decoded from the ETP’s closed implication graphs into data/etp/infinite-only.tsv. The exact split answers the question left open in the project’s #1474, and it makes the corpus’s coverage readable honestly: 610 of the 1062 hard-core pairs can never be refuted by a finite construction, so the real figure is 411 of the 450 finitely refutable (91%), with the remaining 39 listed. A differential test against the ETP’s Lean-verified finite graph agrees on all 797 finite claims.