{"query": "Get close — a bounded estimate (the approximate flip)", "count": 20, "results": [{"id": "card_solve_get_close", "title": "Get close — a bounded estimate (the approximate flip)", "shelf": "codex", "surface": "secular", "snippet": "One step from the anchor, with a proven error: estimate f0 + f1·(x−x0), bound the remainder by Taylor (sup|f''|·(x−x0)^2/2) or Lipschitz. Fairly close, with a proven bound, is often the answer. The do", "authority_tier": "engine_derived", "source": "Narrow Highway — a step of the solve path", "readable": false, "generated": false}, {"id": "card_n_6ca595e0a722", "title": "Cohesion and fracture — the mechanism of holding and breaking", "shelf": "science", "surface": "secular", "snippet": "Some things hold together when every logic says they should break apart; some break apart\nwhen it seems they should hold. Matt saw it in peoples and in words — and there IS an underlying\nmechanism, th", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-09", "readable": false, "generated": false}, {"id": "card_alm_connection_independence_multiplies_information_adds", "title": "Almanac: Independence multiplies probability but adds information", "shelf": "almanac", "surface": "secular", "snippet": "SITUATION\n  Flip two fair coins. The probability verifier confirmed that independent events MULTIPLY: P(A and B) = 0.5 x 0.5 = 0.25. The information_theory verifier confirmed that one fair coin carrie", "authority_tier": "reference", "source": "The Almanac — verified-only practical wisdom (sealed)", "readable": false, "generated": false}, {"id": "card_n_9d42516b140c", "title": "Quartz at 32,768 Hz — a power of two on the wrist", "shelf": "science", "surface": "secular", "snippet": "Every quartz watch cuts a tuning fork to hum at exactly 2^15 = 32,768 Hz, sealed, and\n32768 / 2^15 = 1: run the signal through fifteen binary flip-flops, each halving the frequency,\nand the last ticks", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-09", "readable": false, "generated": false}, {"id": "card_works_probability", "title": "Ten fair coins: the average and a particular outcome", "shelf": "the-works", "surface": "secular", "snippet": "Flip a fair coin ten times. On average five come up heads; the chance of exactly two heads is C(10,2)/2¹⁰. The engine confirms both the expectation and the exact probability.  Worked & sealed by the e", "authority_tier": "verified", "source": "The Works — worked & sealed", "readable": false, "generated": false}, {"id": "card_c_c334ba45e1c7", "title": "Quartz at 32,768 Hz — a power of two on the  ↔ The two clocks — quartz, cesium, and the sec", "shelf": "connections", "surface": null, "snippet": "run the signal through fifteen binary flip-flops, each halving the frequency, and the last ticks once per second.  — a concord the card itself states; mined + verified.", "authority_tier": "engine_derived", "source": "Concordance miner — 2026-07-11", "readable": false, "generated": false}, {"id": "card_floor_the_solve_path", "title": "The solve path — two jaws that close on the answer", "shelf": "codex", "surface": "secular", "snippet": "How the engine solves a hard problem when no rule finds the exact answer (the barriers). Two jaws: EXCLUDE from outside (the barriers, the moat — cut the dead branches) and CONVERGE from inside (ancho", "authority_tier": "engine_derived", "source": "Narrow Highway — the solve path (operator seed)", "readable": false, "generated": false}, {"id": "card_solve_change_domain", "title": "Change of domain — solve in the eigenbasis, map back (the exact flip)", "shelf": "codex", "surface": "secular", "snippet": "Put the problem in the space where it diagonalizes (its eigenbasis, the frequency basis), solve it as independent scalars, map back — exact when the basis is known and cheap (Fourier, diagonalization;", "authority_tier": "engine_derived", "source": "Narrow Highway — a step of the solve path", "readable": false, "generated": false}, {"id": "card_instr_spectral", "title": "Change of domain - the eigenbasis flip", "shelf": "codex", "surface": "secular", "snippet": "The Change of domain - the eigenbasis flip verifier (src/concordance/verifiers/spectral.py). On the one map it instruments: card_question_p_vs_np. Found from the code's own imports, never invented; th", "authority_tier": "engine_derived", "source": "verifier: spectral", "readable": false, "generated": false}, {"id": "card_src_word_flip_one_s_wig", "title": "flip one's wig", "shelf": "dictionary", "surface": "secular", "snippet": "flip one's wig: (verb) get very angry and fly into a rage — syn: flip one's lid, blow up, throw a fit, hit the roof, hit the ceiling, have kittens", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_etym_flip_flap", "title": "flip-flap", "shelf": "etymology", "surface": "secular", "snippet": "flip-flap: etymology (Webster 1913) — n.: [See Flip, and Flap.]. From Webster's Revised Unabridged Dictionary (1913), public domain.", "authority_tier": "reference", "source": "Webster's Revised Unabridged Dictionary (1913), Project Gutenberg eBook #29765 — public domain", "readable": true, "generated": false}, {"id": "card_src_etym_flip", "title": "flip", "shelf": "etymology", "surface": "secular", "snippet": "flip: etymology (Webster 1913) — n.: [Cf. Prov. E. flip nimble, flippant, also, a slight blow. Cf. Flippant.]. From Webster's Revised Unabridged Dictionary (1913), public domain.", "authority_tier": "reference", "source": "Webster's Revised Unabridged Dictionary (1913), Project Gutenberg eBook #29765 — public domain", "readable": true, "generated": false}, {"id": "card_src_pron_flips", "title": "flips", "shelf": "pronunciation", "surface": "secular", "snippet": "flips: pronounced (ARPABET) F L IH1 P S. 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_flip_one_s_lid", "title": "flip one's lid", "shelf": "dictionary", "surface": "secular", "snippet": "flip one's lid: (verb) get very angry and fly into a rage — syn: blow up, throw a fit, hit the roof, hit the ceiling, have kittens, have a fit", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_pron_flip", "title": "flip", "shelf": "pronunciation", "surface": "secular", "snippet": "flip: pronounced (ARPABET) F L IH1 P. 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_book_2793", "title": "Flip: A California Romance — Bret Harte", "shelf": "gutenberg", "surface": "secular", "snippet": "Flip: A California Romance, by Bret Harte. Subjects: Western stories; American fiction -- 19th century; California -- Social life and customs -- Fiction. Read the full text (public domain): https://ww", "authority_tier": "reference", "source": "Project Gutenberg (public domain)", "readable": true, "generated": false}, {"id": "card_src_word_flip_out", "title": "flip out", "shelf": "dictionary", "surface": "secular", "snippet": "flip out: (verb) react in an excited, delighted, or surprised way — syn: flip · (verb) go mad, go crazy — syn: flip", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_etym_flippant", "title": "flippant", "shelf": "etymology", "surface": "secular", "snippet": "flippant: etymology (Webster 1913) — a.: [Prov. E. flip to move nimbly; cf. W. llipa soft, limber, pliant, or Icel. fleipa to babble, prattle. Cf. Flip, Fillip, Flap, Flipper.]. From Webster's Revised", "authority_tier": "reference", "source": "Webster's Revised Unabridged Dictionary (1913), Project Gutenberg eBook #29765 — public domain", "readable": true, "generated": false}, {"id": "card_src_etym_flipper", "title": "flipper", "shelf": "etymology", "surface": "secular", "snippet": "flipper: etymology (Webster 1913) — n.: [Cf. Flip, Flippant.]. From Webster's Revised Unabridged Dictionary (1913), public domain.", "authority_tier": "reference", "source": "Webster's Revised Unabridged Dictionary (1913), Project Gutenberg eBook #29765 — public domain", "readable": true, "generated": false}, {"id": "card_src_etym_fillip", "title": "fillip", "shelf": "etymology", "surface": "secular", "snippet": "fillip: etymology (Webster 1913) — v. t.: [For filp, flip. Cf. Flippant.]. From Webster's Revised Unabridged Dictionary (1913), public domain.", "authority_tier": "reference", "source": "Webster's Revised Unabridged Dictionary (1913), Project Gutenberg eBook #29765 — public domain", "readable": true, "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_solve_get_close"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}