{"query": "The triangular counts — 120, 153, 276", "count": 20, "results": [{"id": "card_n_9911d47ec7d2", "title": "The triangular counts — 120, 153, 276", "shelf": "science", "surface": "secular", "snippet": "The three precise headcounts of the New Testament are all triangular numbers, sealed:\n120 in the upper room (Acts 1:15) = 15·16/2; 153 fish (John 21:11) = 17·18/2; 276 souls\nsaved from the wreck (Acts", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-09", "readable": false, "generated": false}, {"id": "card_theory_julian_day_number", "title": "Julian Day Number (continuous astronomical time)", "shelf": "theories", "surface": "secular", "snippet": "Julian Day Number (continuous astronomical time) — an engine domain that can touch it: calendar_time. Calibration: seals — a deterministic verifier can CONFIRM or BREAK checkable claims drawn from it,", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (lone-domain seeding)", "readable": false, "generated": false}, {"id": "card_theory_fundamental_theorem_of_algebra", "title": "Fundamental theorem of algebra", "shelf": "theories", "surface": "secular", "snippet": "Fundamental theorem of algebra — an engine domain that can touch it: mathematics. Calibration: partial — root counts verify; the existence proof is map-only. Every non-constant polynomial with complex", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_dimensional_analysis", "title": "Dimensional analysis & similarity (Buckingham Π)", "shelf": "theories", "surface": "secular", "snippet": "Dimensional analysis & similarity (Buckingham Π) — an engine domain that can touch it: physics. Calibration: seals — dimensional consistency and Π-group counts check exactly. Any true physical equatio", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_second_law_of_thermodynamics", "title": "Second law of thermodynamics (entropy)", "shelf": "theories", "surface": "secular", "snippet": "Second law of thermodynamics (entropy) — an engine domain that can touch it: thermodynamics. Calibration: partial — efficiency and entropy changes compute; the arrow of time is map-only. The entropy o", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_fractals", "title": "Fractals & self-similarity (Mandelbrot)", "shelf": "theories", "surface": "secular", "snippet": "Fractals & self-similarity (Mandelbrot) — an engine domain that can touch it: mathematics. Calibration: seals — fractal dimensions and iteration counts compute. A shape whose parts resemble the whole ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_discrete_structures_in_life", "title": "Discrete units in living things (codon, gene, species, phoneme)", "shelf": "theories", "surface": "secular", "snippet": "Discrete units in living things (codon, gene, species, phoneme) — an engine domain that can touch it: genetics. Calibration: seals — codon tables, allele frequencies and inventory counts compute. Biol", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_organic_chemistry", "title": "Organic chemistry & functional groups (why life is built on carbon)", "shelf": "theories", "surface": "secular", "snippet": "Organic chemistry & functional groups (why life is built on carbon) — an engine domain that can touch it: chemistry. Calibration: seals — formulae, molar masses and isomer counts compute. Carbon forms", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_error_correcting_codes", "title": "Error-correcting codes (Hamming, Reed–Solomon)", "shelf": "theories", "surface": "secular", "snippet": "Error-correcting codes (Hamming, Reed–Solomon) — an engine domain that can touch it: information_theory. Calibration: seals — code distances, correctable error counts and parity all compute exactly. A", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_group_theory", "title": "Group theory & symmetry (the mathematics of what stays the same)", "shelf": "theories", "surface": "secular", "snippet": "Group theory & symmetry (the mathematics of what stays the same) — an engine domain that can touch it: mathematics. Calibration: seals — group orders, subgroup structure and symmetry counts compute. A", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_requisite_variety", "title": "Ashby's law of requisite variety (the humility theorem)", "shelf": "theories", "surface": "secular", "snippet": "Ashby's law of requisite variety (the humility theorem) — an engine domain that can touch it: operations_research. Calibration: map-only — a structural bound, stated in variety counts rather than comp", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_shannon_information_theory", "title": "Shannon information theory (entropy, channel capacity)", "shelf": "theories", "surface": "secular", "snippet": "Shannon information theory (entropy, channel capacity) — an engine domain that can touch it: information_theory. Calibration: seals. H = -Σ p log p. Information is measured by how much UNCERTAINTY a m", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_historical_chronology", "title": "Historical chronology (era reckoning, elapsed years)", "shelf": "theories", "surface": "secular", "snippet": "Historical chronology (era reckoning, elapsed years) — an engine domain that can touch it: history_chronology. Calibration: seals — elapsed-year arithmetic computes exactly. Placing events on one time", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_aperiodic_tiling", "title": "Aperiodic tiling (Penrose, and the 2023 monotile)", "shelf": "theories", "surface": "secular", "snippet": "Two tile shapes plus local edge-matching rules that cover the plane completely and CANNOT repeat. Penrose (1974) gave two forms: P2, the kite and dart; P3, a thin rhombus (36°) and a fat one (72°). Th", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_sanitation_clean_water", "title": "Sanitation, clean water & oral rehydration (Snow's pump handle)", "shelf": "theories", "surface": "secular", "snippet": "Sanitation, clean water & oral rehydration (Snow's pump handle) — an engine domain that can touch it: medicine. Calibration: seals — ORS composition and dilution compute exactly. In the 1854 Soho chol", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_c_080e9252af04", "title": "153 — the counted catch ↔ The triangular counts — 120, 153, 276", "shelf": "connections", "surface": null, "snippet": "153 = 17·18/2 (the 17th triangular — a net's worth of fish stacks into a perfect triangle)  — a concord the card itself states; mined + verified.", "authority_tier": "engine_derived", "source": "Concordance miner — 2026-07-11", "readable": false, "generated": false}, {"id": "card_c_b23740a2ef63", "title": "The triangular counts — 120, 153, 276 ↔ Numbers in the text and in the world — the h", "shelf": "connections", "surface": null, "snippet": "The null keeps it honest: the 5000 is NOT triangular — off by exactly 50  — a concord the card itself states; mined + verified.", "authority_tier": "engine_derived", "source": "Concordance miner — 2026-07-11", "readable": false, "generated": false}, {"id": "card_c_e55eed13208b", "title": "The perfect numbers — six days and a month ↔ The triangular counts — 120, 153, 276", "shelf": "connections", "surface": null, "snippet": "666 is the 36th triangular (36·37/2, sealed) — man's number stacking short of seven, an attributed reading.  — a concord the card itself states; mined + verified.", "authority_tier": "engine_derived", "source": "Concordance miner — 2026-07-11", "readable": false, "generated": false}, {"id": "card_c_a135610d77fc", "title": "The triangular counts — 120, 153, 276 ↔ 153 — the counted catch", "shelf": "connections", "surface": null, "snippet": "153 fish (John 21:11) = 17·18/2  — a concord the card itself states; mined + verified.", "authority_tier": "engine_derived", "source": "Concordance miner — 2026-07-11", "readable": false, "generated": false}, {"id": "card_c_df7252f91c06", "title": "The triangular counts instantiates the biblical-numbers assay", "shelf": "connections", "surface": null, "snippet": "One number of the honest assay — seals and nulls carried together.", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-09", "readable": false, "generated": false}], "house": {"door": "FIND", "kind": "cards", "trail": "results", "seal": null, "next_step": {"do": "open the top card", "door": "FIND", "tool": "card_get", "params": {"id": "card_n_9911d47ec7d2"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}