{"query": "Powers of two — the binary ladder", "count": 20, "results": [{"id": "card_n_a84694b9ae04", "title": "Powers of two — the binary ladder", "shelf": "science", "surface": "secular", "snippet": "The numbers a machine counts by, sealed: 2^10 = 1024 (the binary 'kilo'), 2^16 = 65,536\n(a 16-bit word's range), 2^30 = 1,073,741,824 (one GiB): https://narrowhighway.com/s/19df661045aef6fa486083cfbff", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-09", "readable": false, "generated": false}, {"id": "card_c_1219a284fc2a", "title": "Quartz at 32,768 Hz — a power of two on the  ↔ Powers of two — the binary ladder", "shelf": "connections", "surface": null, "snippet": "run the signal through fifteen binary flip-flops, each halving the frequency, and the last ticks once per second... Time, on the wrist, is counted in powers of two.  — a concord the card itself states", "authority_tier": "engine_derived", "source": "Concordance miner — 2026-07-11", "readable": false, "generated": false}, {"id": "card_c_cfe6ced7e25d", "title": "Toki Pona — a whole language from 120 words ↔ Powers of two — the binary ladder", "shelf": "connections", "surface": null, "snippet": "a tiny alphabet, richly combined, spells everything — the design reality keeps choosing (DNA, binary, the elements, words)  — a concord the card itself states; mined + verified.", "authority_tier": "engine_derived", "source": "Concordance miner — 2026-07-11", "readable": false, "generated": false}, {"id": "card_alm_located_goldbach_conjecture_verified", "title": "Almanac: Goldbach's conjecture — verified where we can reach, open where we cannot", "shelf": "almanac", "surface": "secular", "snippet": "SITUATION\n  Goldbach conjectured in 1742 that every even number greater than 2 is the sum of two primes. It is still UNPROVEN. The engine verified it for a ladder of even numbers, each as a genuine pr", "authority_tier": "reference", "source": "The Almanac — verified-only practical wisdom (sealed)", "readable": false, "generated": false}, {"id": "card_n_e41105aaa59f", "title": "Chronic disease as nested control-system failure — a hardened, falsifiable framework", "shelf": "science", "surface": "secular", "snippet": "Matt's public-domain framework: chronic disease is not one broken part but a failure somewhere in a\nNESTED CONTROL SYSTEM — five layers, each regulating the one below: (1) Cellular stress response →\n(", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-10", "readable": false, "generated": false}, {"id": "card_floor_astronomy", "title": "Astronomy — orbits, distances, and the cosmos", "shelf": "codex", "surface": "secular", "snippet": "Orbits obey Kepler and Newton; distances climb the ladder (parallax, standard candles); the cosmos is governed by general relativity. The orbital arithmetic is already sealed on the astronomy stick; t", "authority_tier": "engine_derived", "source": "Narrow Highway — astro", "readable": false, "generated": false}, {"id": "card_floor_biology", "title": "Biology — life is self-replicating chemistry", "shelf": "codex", "surface": "secular", "snippet": "The next rung of the emergence ladder: physics -> chemistry -> life. A cell is chemistry organized to copy itself and run on free energy; DNA spells proteins in a triplet code (64 codons), and evoluti", "authority_tier": "engine_derived", "source": "Narrow Highway — biology", "readable": false, "generated": false}, {"id": "card_floor_the_mind", "title": "The mind — matter aware of itself", "shelf": "codex", "surface": "secular", "snippet": "The top rung of the emergence ladder: physics -> chemistry -> life -> mind. The neuron signals by electrochemistry (a Nernst voltage), the brain computes (networks, information), and it is metabolical", "authority_tier": "engine_derived", "source": "Narrow Highway — the mind", "readable": false, "generated": false}, {"id": "card_alm_bridge_yes_be_yes_is_the_bit", "title": "Almanac: BRIDGE: 'Let your Yes be Yes' (Mt 5:37) IS the bit -- two states, no middle (GF(2) excluded middle)", "shelf": "almanac", "surface": "secular", "snippet": "SITUATION\n  MOAT BRIDGE (two trees, one Author) -- a teaching of Christ bonded to a verified form. WORD FIRST (John 3:12).\nTHE WORD (Tier 1): Matthew 5:37 -- 'Let your Yes be Yes (nai nai), and your N", "authority_tier": "reference", "source": "The Almanac — verified-only practical wisdom (sealed)", "readable": false, "generated": false}, {"id": "card_n_b10117556d41", "title": "The two clocks — quartz, cesium, and the second", "shelf": "science", "surface": "secular", "snippet": "The wrist clock and the world clock. Quartz beats 32,768 times a second; the SI second is\nDEFINED as 9,192,631,770 oscillations of cesium-133's hyperfine transition (since 1967) —\nsealed: the cesium c", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-09", "readable": false, "generated": false}, {"id": "card_src_mill_blum_1984", "title": "N. Blum 1984 — A Boolean function requiring 3n network size", "shelf": "millennium", "surface": "secular", "snippet": "N. Blum (1984). A Boolean function requiring 3n network size. Theoret. Comput. Sci. 28 (1984) 337–345. DOI 10.1016/0304-3975(83)90029-4. Canonical: https://doi.org/10.1016/0304-3975(83)90029-4. Free c", "authority_tier": "reference", "source": "N. Blum (1984), Theoret. Comput. Sci. 28 (1984) 337–345", "readable": false, "generated": false}, {"id": "card_src_etym_stile", "title": "stile", "shelf": "etymology", "surface": "secular", "snippet": "stile: etymology (Webster 1913) — n.: [See Style.]; n.: [OE. stile, AS. stigel a step, a ladder, from stigan to ascend; akin to OHG. stigila a stile. *164. See Sty, v. i., and cf. Stair.]. From Webste", "authority_tier": "reference", "source": "Webster's Revised Unabridged Dictionary (1913), Project Gutenberg eBook #29765 — public domain", "readable": true, "generated": false}, {"id": "card_astro_distances", "title": "Distances - the ladder of starlight", "shelf": "codex", "surface": "secular", "snippet": "Parallax, Cepheids and supernovae measure cosmic distance, all read from LIGHT - a Maxwell wave carrying a spectrum and a redshift.", "authority_tier": "engine_derived", "source": "Narrow Highway — astro", "readable": false, "generated": false}, {"id": "card_src_word_jack_ladder", "title": "jack ladder", "shelf": "dictionary", "surface": "secular", "snippet": "jack ladder: (noun) (nautical) a hanging ladder of ropes or chains supporting wooden or metal rungs or steps — syn: Jacob's ladder, pilot ladder", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_word_pilot_ladder", "title": "pilot ladder", "shelf": "dictionary", "surface": "secular", "snippet": "pilot ladder: (noun) (nautical) a hanging ladder of ropes or chains supporting wooden or metal rungs or steps — syn: Jacob's ladder, jack ladder", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_word_ladder_back", "title": "ladder-back", "shelf": "dictionary", "surface": "secular", "snippet": "ladder-back: (noun) a chair with a ladder-back — syn: ladder-back chair · (noun) the backrest of a chair that consists of two uprights with connecting slats", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_chart_quantum_harmonic_oscillator", "title": "The quantum harmonic oscillator — zero-point and the ladder", "shelf": "codex", "surface": "secular", "snippet": "A chart on the one map: the tick stick stick_the_quantum_harmonic_oscillator_zero_point_and_the_ladder, placed on the quantum-mechanics floor. The oscillator's ground state is 1/2 hbar omega (the zero", "authority_tier": "engine_derived", "source": "Narrow Highway - a chart: a tick stick placed on the one map", "readable": false, "generated": false}, {"id": "card_src_pron_ladders", "title": "ladders", "shelf": "pronunciation", "surface": "secular", "snippet": "ladders: pronounced (ARPABET) L AE1 D ER0 Z. From the CMU Pronouncing Dictionary — the standard machine-readable pronunciations of North American English.", "authority_tier": "reference", "source": "CMU Pronouncing Dictionary (cmudict) — BSD-2-Clause, Carnegie Mellon", "readable": false, "generated": false}, {"id": "card_src_word_ladder", "title": "ladder", "shelf": "dictionary", "surface": "secular", "snippet": "ladder: (noun) steps consisting of two parallel members connected by rungs; for climbing up or down · (noun) ascending stages by which somebody or something can progress · (noun) a row of unravelled s", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_enc_easton_ladder", "title": "Ladder", "shelf": "encyclopedia", "surface": "witness", "snippet": "Occurs only once, in the account of Jacob’s vision (Gen. 28:12).\n\nFull entry: Easton's Bible Dictionary (1897, public domain) — /characters.html?search=Ladder", "authority_tier": "reference", "source": "Easton's Bible Dictionary (1897, public domain)", "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_a84694b9ae04"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}