{"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", "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)", "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)", "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)", "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)", "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)", "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)", "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)", "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)", "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)", "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)", "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)", "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)", "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)", "generated": false}, {"id": "card_src_book_22255", "title": "The Counts of Gruyère — Anna De Koven", "shelf": "gutenberg", "surface": "secular", "snippet": "The Counts of Gruyère, by Anna De Koven. Subjects: Gruyère, Counts of; Gruyère (Switzerland) -- History. Read the full text (public domain): https://www.gutenberg.org/ebooks/22255", "authority_tier": "reference", "source": "Project Gutenberg (public domain)", "generated": false}, {"id": "card_src_book_7560", "title": "Quotes and Images From Memoirs of Count Grammont — Anthony, Count Hamilton", "shelf": "gutenberg", "surface": "secular", "snippet": "Quotes and Images From Memoirs of Count Grammont, by Anthony, Count Hamilton. Subjects: Quotations. Read the full text (public domain): https://www.gutenberg.org/ebooks/7560", "authority_tier": "reference", "source": "Project Gutenberg (public domain)", "generated": false}, {"id": "card_domchk_linguistics_claimed_count", "title": "Linguistics: count", "shelf": "linguistics", "surface": "secular", "snippet": "A worked check in linguistics: count.\n\nGIVEN\n  gloss_claim = love\n  strongs = G26\n  transliteration_claim = agape\n\nCLAIMED\n  claimed_count = 36\n\nTHE ENGINE'S VERDICT\n  linguistics.strongs_resolution: ", "authority_tier": "reference", "source": "The verifier's own documented relation, and a run this engine performed against it (deterministic; re-runnable with tools/domain_goldens.py)", "generated": false}, {"id": "card_src_book_5409", "title": "The Memoirs of Count Grammont — Volume 01 — Anthony, Count Hamilton", "shelf": "gutenberg", "surface": "secular", "snippet": "The Memoirs of Count Grammont — Volume 01, by Anthony, Count Hamilton. Subjects: Gramont, Philibert, comte de, 1621-1707; Great Britain -- History -- Charles II, 1660-1685; Great Britain -- Court and ", "authority_tier": "reference", "source": "Project Gutenberg (public domain)", "generated": false}, {"id": "card_src_book_5410", "title": "The Memoirs of Count Grammont — Volume 02 — Anthony, Count Hamilton", "shelf": "gutenberg", "surface": "secular", "snippet": "The Memoirs of Count Grammont — Volume 02, by Anthony, Count Hamilton. Subjects: Gramont, Philibert, comte de, 1621-1707; Great Britain -- History -- Charles II, 1660-1685; Great Britain -- Court and ", "authority_tier": "reference", "source": "Project Gutenberg (public domain)", "generated": false}, {"id": "card_src_book_5411", "title": "The Memoirs of Count Grammont — Volume 03 — Anthony, Count Hamilton", "shelf": "gutenberg", "surface": "secular", "snippet": "The Memoirs of Count Grammont — Volume 03, by Anthony, Count Hamilton. Subjects: Gramont, Philibert, comte de, 1621-1707; Great Britain -- History -- Charles II, 1660-1685; Great Britain -- Court and ", "authority_tier": "reference", "source": "Project Gutenberg (public domain)", "generated": false}]}