{"query": "Numbers", "count": 20, "results": [{"id": "card_n_b58480f0ae1a", "title": "Numbers", "shelf": "codex", "surface": "witness", "snippet": "wilderness, faithfulness, census\n\n36 chapters · Moses.", "authority_tier": "scripture", "source": "Bible · Numbers", "readable": false, "generated": false}, {"id": "card_theory_peano_arithmetic_axioms", "title": "Peano arithmetic axioms", "shelf": "theories", "surface": "secular", "snippet": "Peano arithmetic axioms — an engine domain that can touch it: number_theory. Calibration: seals. Five axioms generating the natural numbers: zero is a number, every number has a successor, zero succee", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_integers_counting", "title": "Counting & the integers (the first abstraction)", "shelf": "theories", "surface": "secular", "snippet": "Counting & the integers (the first abstraction) — an engine domain that can touch it: number_theory. Calibration: seals — arithmetic on the integers verifies exactly. Counting is the recognition that ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_numerical_analysis", "title": "Numerical analysis (why the computer's answer is not the answer)", "shelf": "theories", "surface": "secular", "snippet": "Numerical analysis (why the computer's answer is not the answer) — an engine domain that can touch it: computer_science. Calibration: map-only — error bounds and condition numbers are computable in pr", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_fundamental_theorem_of_arithmetic", "title": "Fundamental theorem of arithmetic (unique factorization)", "shelf": "theories", "surface": "secular", "snippet": "Fundamental theorem of arithmetic (unique factorization) — an engine domain that can touch it: number_theory. Calibration: seals. Every integer greater than 1 is a product of primes in exactly one way", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_fluid_mechanics", "title": "Fluid mechanics (Bernoulli, Reynolds, Navier–Stokes)", "shelf": "theories", "surface": "secular", "snippet": "Fluid mechanics (Bernoulli, Reynolds, Navier–Stokes) — an engine domain that can touch it: hydrology. Calibration: seals — continuity, Bernoulli and Reynolds number compute directly. CONTINUITY first:", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "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_epidemiology_models", "title": "Compartmental epidemiology (SIR models and R₀)", "shelf": "theories", "surface": "secular", "snippet": "Compartmental epidemiology (SIR models and R₀) — an engine domain that can touch it: medicine. Calibration: seals — R0, herd-immunity thresholds and epidemic curves compute. Divide a population into S", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "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_discrete_vs_continuous", "title": "Discrete versus continuous (the oldest dividing line)", "shelf": "theories", "surface": "secular", "snippet": "Discrete versus continuous (the oldest dividing line) — an engine domain that can touch it: number_theory. Calibration: map-only — a foundational distinction; specific cardinality results compute. Som", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_law_of_large_numbers", "title": "Law of large numbers", "shelf": "theories", "surface": "secular", "snippet": "Law of large numbers — an engine domain that can touch it: statistics. Calibration: partial — convergence checks verify; the limit statement is map-only. As a sample grows, its mean converges to the t", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_dalton_s_atomic_theory", "title": "Dalton's atomic theory", "shelf": "theories", "surface": "secular", "snippet": "Dalton's atomic theory — an engine domain that can touch it: chemistry. Calibration: partial — mass ratios verify. Matter is made of indivisible atoms; all atoms of an element share a mass; compounds ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_periodic_law", "title": "Periodic law (Mendeleev)", "shelf": "theories", "surface": "secular", "snippet": "Periodic law (Mendeleev) — an engine domain that can touch it: periodic_table. Calibration: seals — element properties and group trends look up and compute. Arrange elements by atomic number and their", "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_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_nutrient_cycling_agronomy", "title": "Nutrient cycling & agronomy (NPK, evapotranspiration)", "shelf": "theories", "surface": "secular", "snippet": "Nutrient cycling & agronomy (NPK, evapotranspiration) — an engine domain that can touch it: soil_science. Calibration: seals — nutrient budgets and ET rates compute. Elements cycle between soil, plant", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_g_del_s_incompleteness_theorems", "title": "Gödel's incompleteness theorems", "shelf": "theories", "surface": "secular", "snippet": "Gödel's incompleteness theorems — an engine domain that can touch it: formal_logic. Calibration: map-only — a meta-theorem about systems, not a sealable computation. FIRST (1931): any consistent forma", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_kinetic_theory_of_gases", "title": "Kinetic theory of gases", "shelf": "theories", "surface": "secular", "snippet": "Kinetic theory of gases — an engine domain that can touch it: thermodynamics. Calibration: partial — RMS speeds and mean free paths compute; the microscopic picture is a model. A gas is a swarm of mol", "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_law_of_the_minimum", "title": "Liebig's law of the minimum (what actually limits growth)", "shelf": "theories", "surface": "secular", "snippet": "Liebig's law of the minimum (what actually limits growth) — an engine domain that can touch it: soil_science. Calibration: seals — nutrient ratios and deficiency thresholds compute. Growth is limited ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}]}