{ "model": { "rank": 3839, "code": "thing-q157002", "model_id": "vr.tr.equilateral-triangle", "name": "equilateral triangle", "purpose": "Enable an agent to recognise an equilateral triangle, distinguish exact geometry from approximate representations, derive its properties and choose valid constructions or transformations.", "family": "Thing Registry", "category": "Cross-cutting context", "status": "research-draft", "kind": "thing", "plane": "XCT", "domain": "XCT.QLT", "industry": "", "version": "", "url": "/models/thing/q157002/", "tier": 2, "score": 81, "payload": { "layer": "wikidata", "aliases": [], "aliasCount": 0, "merged": 0, "knownIn": 81, "facets": null, "markers": [], "lexicalClass": "", "senseRank": null, "alsoRegisteredAs": null, "source": { "dataset": "wikidata", "item": "Q157002", "url": "https://www.wikidata.org/wiki/Q157002", "license": "CC0 1.0" } }, "research": { "vercy": "1.0-draft", "publication": { "status": "research-draft", "adjudicationStatus": "unreviewed", "publishableCanonical": false, "generatedAt": "2026-09-09T18:53:04Z", "providers": [ "Codex" ], "breadth": "recalled by Codex without web access - no source was read", "missingProviders": [], "pass": 2, "cost": { "grok": { "seconds": 19.8, "error": "Reading additional input from stdin...\nOpenAI Codex v0.153.4\n--------\nworkdir: R:\\02_PROJECTS\\02_Meta_Models_Platforms\\Ver.cy\\current\\thing-registry-backlog\nmodel: gpt-6-astra\nprovider: openai\napproval: never\nsandbox: read-only\nreasoning effort: none\nreasoning summaries: none\nsession id: 01a08783-4bd4-7663-9b13-d1abca926a19\n--------\nuser\nDescribe what is already known about one registered thing. Answer as JSON only, no prose around it.\n\nThing: equilateral triangle\nSense to describe: (none recorded)\nDomain code: XCT.QLT\nAlso known as: (none)\n\n\nContext for this batch of 695 things:\n# Batch 004: ", "usd": 0, "recall": true }, "codex": { "seconds": 60.8, "error": "Reading additional input from stdin...\nOpenAI Codex v0.153.4\n--------\nworkdir: R:\\02_PROJECTS\\02_Meta_Models_Platforms\\Ver.cy\\current\\thing-registry-backlog\nmodel: gpt-6-astra\nprovider: openai\napproval: never\nsandbox: read-only\nreasoning effort: none\nreasoning summaries: none\nsession id: 01a08783-4bcf-7352-95a6-cf6073d5eb7c\n--------\nuser\nYou are drafting a Vercy meta-model for one registered thing. Answer as JSON only, no prose around it.\n\nThing: equilateral triangle\nRegistry id: vr.tr.equilateral-triangle\nPlane / domain: XCT / XCT.QLT\nRegistry definition: (none recorded)\nNames folded into thi" } } }, "metaModel": { "id": "THING-Q157002", "registryId": "vr.tr.equilateral-triangle", "name": "equilateral triangle", "version": "0.1.0-research.1", "entryKind": "thing", "family": "Thing Registry", "domain": [ "XCT.QLT" ], "status": "research-draft" }, "canonicalUrl": "https://ver.cy/models/thing/q157002/", "model": { "registry_id": "vr.tr.equilateral-triangle", "name": "equilateral triangle", "purpose": "Enable an agent to recognise an equilateral triangle, distinguish exact geometry from approximate representations, derive its properties and choose valid constructions or transformations.", "definition": "An equilateral triangle is a triangle in Euclidean geometry whose three sides have equal length, equivalently whose three interior angles each measure 60 degrees.", "scope_statement": "This model owns vr.tr.equilateral-triangle as a nondegenerate triangle in the Euclidean plane with three equal side lengths, including its defining constraints, derived measurements, symmetries and valid geometric operations.", "in_scope": [ "Equality of three positive side lengths and equivalent Euclidean recognition criteria", "Relationships among side length, angles, altitude, perimeter and area", "Coincidence of classical triangle centres and relationships to inscribed and circumscribed circles", "Symmetries, congruence, similarity and transformations preserving equilaterality", "Construction and verification from geometric data, including uncertainty in measured representations" ], "out_of_scope": [ "General triangle properties except where needed to identify the equilateral specialisation", "Spherical and hyperbolic equilateral triangles, whose metric relationships require separate treatment", "Physical triangular components and their material, manufacturing or structural properties", "Equilateral polygons with more than three sides", "Complete tessellations, triangular meshes and three-dimensional regular solids" ], "distinguishing_features": [ "Three distinct, noncollinear vertices joined by straight segments must have three equal, positive pairwise distances.", "In Euclidean geometry, all three interior angles are 60 degrees; equal sides and equal angles are equivalent recognition criteria.", "A triangle with exactly two equal sides is not equilateral; under the inclusive definition of isosceles, an equilateral triangle is a special case of an isosceles triangle.", "Equal side lengths in a spherical or hyperbolic metric do not establish the Euclidean angle, area or radius formulas used here.", "A drawing that looks balanced supplies only visual evidence; coordinates, construction constraints or measurements must support classification." ], "characteristics": [ { "name": "Geometric setting", "kind": "category", "unit_or_values": "Euclidean plane; other settings outside this model", "why_it_matters": "Determines whether the angle sum and derived metric formulas apply." }, { "name": "Recognition status", "kind": "state", "unit_or_values": "exactly established | approximately supported | contradicted | undetermined", "why_it_matters": "Prevents uncertain measurements from being treated as an exact geometric proof." }, { "name": "Side length", "kind": "measurement", "unit_or_values": "a > 0, in a declared length unit", "why_it_matters": "Determines every metric property of an exact equilateral triangle up to placement." }, { "name": "Interior angles", "kind": "measurement", "unit_or_values": "60 degrees or pi/3 radians each", "why_it_matters": "Provides an equivalent exact recognition criterion in the Euclidean plane." }, { "name": "Perimeter", "kind": "measurement", "unit_or_values": "P = 3a, in the side-length unit", "why_it_matters": "Supports boundary-length calculations and consistency checks." }, { "name": "Altitude", "kind": "measurement", "unit_or_values": "h = sqrt(3)a/2, in the side-length unit", "why_it_matters": "Connects the side length to construction, positioning and area." }, { "name": "Area", "kind": "measurement", "unit_or_values": "A = sqrt(3)a^2/4, in squared length units", "why_it_matters": "Supports size comparison and detects inconsistent specifications." }, { "name": "Centre coincidence", "kind": "relation", "unit_or_values": "centroid = circumcentre = incentre = orthocentre", "why_it_matters": "Supports centre placement and cross-checks geometric representations." }, { "name": "Circle radii", "kind": "measurement", "unit_or_values": "circumradius R = a/sqrt(3); inradius r = a/(2sqrt(3)); R = 2r", "why_it_matters": "Connects the triangle to its circumscribed and inscribed circles." }, { "name": "Measured side inequality", "kind": "measurement", "unit_or_values": "(maximum measured side - minimum measured side) / mean measured side; dimensionless", "why_it_matters": "Offers an explicit discrepancy measure for approximate representations, with an application-specific threshold and measurement uncertainty." } ], "affordances": [ "Verify equilaterality using exact distances, angle constraints or construction evidence.", "Evaluate whether measured geometry supports approximate equilaterality under a stated tolerance.", "Derive missing lengths, perimeter, area and circle radii from one independent size measurement.", "Construct either equilateral triangle on a specified nonzero base segment.", "Locate the common centre, symmetry axes, incircle and circumcircle.", "Transform or compare triangles using congruence and similarity while tracking scale and vertex correspondence." ] }, "sources": [], "structure": { "bundles": [ { "id": "definition-and-recognition", "name": "Definition and recognition", "description": "Establish whether a candidate satisfies the Euclidean equilateral constraint and identify the strength of the evidence.", "rationale": "An agent must distinguish an exact equilateral triangle from a degenerate configuration, a different geometry or a merely similar-looking representation.", "layers": [ { "id": "euclidean-defining-constraints", "name": "Euclidean defining constraints", "description": "Record the geometric setting and the conditions that define membership.", "findings": [ { "id": "three-equal-positive-sides", "name": "Three equal positive sides", "description": "A Euclidean equilateral triangle has three equal positive side lengths. Its three interior angles are consequently 60 degrees, and the converse holds for a Euclidean triangle.", "questions": [ { "text": "Are the vertices and straight sides interpreted in a Euclidean plane with three distinct, noncollinear vertices?", "kind": "boundary", "id": "three-equal-positive-sides-q01" }, { "text": "Is membership established by three equal side lengths, three 60-degree angles or an equivalent exact constraint?", "kind": "definition", "id": "three-equal-positive-sides-q02" } ] } ] }, { "id": "recognition-evidence", "name": "Recognition evidence", "description": "Separate mathematical certification from approximate classification of drawings or measurements.", "findings": [ { "id": "exactness-and-tolerance", "name": "Exactness and tolerance", "description": "Exact constraints can establish mathematical equilaterality; finite-precision coordinates and measured sides require an explicit uncertainty and tolerance policy.", "questions": [ { "text": "Does the classification come from a proof, a constrained construction, numerical coordinates or physical measurements?", "kind": "provenance", "id": "exactness-and-tolerance-q01" }, { "text": "What side-length discrepancies and measurement uncertainties are present, and what declared threshold supports approximate acceptance?", "kind": "measurement", "id": "exactness-and-tolerance-q02" }, { "text": "Does the local use of 'isosceles' include equilateral triangles or require exactly two equal sides?", "kind": "definition", "id": "exactness-and-tolerance-q03" } ] } ] } ] }, { "id": "size-and-metric-consistency", "name": "Size and metric consistency", "description": "Connect one independent size parameter to the triangle's lengths and area.", "rationale": "Equilaterality imposes fixed metric relationships that support inference and expose contradictory specifications.", "layers": [ { "id": "side-altitude-and-area", "name": "Side, altitude and area", "description": "Represent the principal size relationships with explicit units.", "findings": [ { "id": "single-parameter-size", "name": "Single-parameter size", "description": "For side length a > 0, the perimeter is 3a, each altitude is sqrt(3)a/2 and the area is sqrt(3)a^2/4.", "questions": [ { "text": "Which independent size quantity is supplied, and in what units?", "kind": "measurement", "id": "single-parameter-size-q01" }, { "text": "Are the supplied side length, altitude, perimeter and area mutually consistent under the equilateral formulas?", "kind": "measurement", "id": "single-parameter-size-q02" } ] } ] }, { "id": "inscribed-and-circumscribed-circles", "name": "Inscribed and circumscribed circles", "description": "Relate the triangle's size to its tangent and vertex-passing circles.", "findings": [ { "id": "fixed-radius-relations", "name": "Fixed radius relations", "description": "The circumradius is a/sqrt(3), the inradius is a/(2sqrt(3)) and their ratio is two; both circles share the triangle's common centre.", "questions": [ { "text": "Does a supplied radius describe the incircle or the circumcircle?", "kind": "definition", "id": "fixed-radius-relations-q01" }, { "text": "Do the stated radii satisfy R = 2r and agree with the side length?", "kind": "measurement", "id": "fixed-radius-relations-q02" }, { "text": "Which circle must be constructed to satisfy a vertex-placement or side-tangency requirement?", "kind": "action", "id": "fixed-radius-relations-q03" } ] } ] } ] }, { "id": "centres-and-symmetry", "name": "Centres and symmetry", "description": "Record the coincident triangle centres and the rigid motions that preserve the triangle.", "rationale": "The equilateral triangle's unusually strong symmetry determines its centre relationships and makes several constructions coincide.", "layers": [ { "id": "coincident-centres-and-lines", "name": "Coincident centres and lines", "description": "Identify the shared roles of the vertex-to-opposite-midpoint lines.", "findings": [ { "id": "median-altitude-bisector-coincidence", "name": "Median, altitude and bisector coincidence", "description": "Each vertex-to-opposite-midpoint line is a median line, altitude line, interior angle-bisector line and perpendicular bisector of the opposite side. Their intersection is the centroid, circumcentre, incentre and orthocentre.", "questions": [ { "text": "Which vertex and opposite-side midpoint determine each of the three shared lines?", "kind": "measurement", "id": "median-altitude-bisector-coincidence-q01" }, { "text": "Do independently computed classical centres coincide exactly or agree within the declared numerical tolerance?", "kind": "measurement", "id": "median-altitude-bisector-coincidence-q02" } ] } ] }, { "id": "rigid-symmetry-operations", "name": "Rigid symmetry operations", "description": "Describe the six plane isometries preserving the unlabelled triangle.", "findings": [ { "id": "dihedral-triangle-symmetry", "name": "Dihedral triangle symmetry", "description": "The unlabelled triangle has the six symmetries of D3: the identity, rotations of 120 and 240 degrees about its centre, and reflections in its three vertex-to-opposite-midpoint axes.", "questions": [ { "text": "Which rotation or reflection maps the triangle onto itself, and what vertex permutation does it induce?", "kind": "action", "id": "dihedral-triangle-symmetry-q01" }, { "text": "Must a symmetry preserve vertex labels or other annotations in addition to the geometric outline?", "kind": "boundary", "id": "dihedral-triangle-symmetry-q02" } ] } ] } ] }, { "id": "construction-and-transformation", "name": "Construction and transformation", "description": "Specify how to construct, place, compare and transform equilateral triangles while preserving their defining constraint.", "rationale": "Recognition alone does not tell an agent which geometric actions are valid or how to resolve alternative placements.", "layers": [ { "id": "construction-from-a-base", "name": "Construction from a base", "description": "Construct the two possible third vertices for a specified nonzero segment.", "findings": [ { "id": "two-circle-construction", "name": "Two-circle construction", "description": "For distinct endpoints A and B, circles centred at A and B with radius |AB| intersect at two points. Each intersection completes an equilateral triangle, on an opposite side of the base line.", "questions": [ { "text": "Are the base endpoints distinct, and is their separation the intended side length?", "kind": "measurement", "id": "two-circle-construction-q01" }, { "text": "Which side of the directed base, or which orientation constraint, selects the required third vertex?", "kind": "action", "id": "two-circle-construction-q02" }, { "text": "Does the resulting third vertex satisfy both required distance equalities to the base endpoints?", "kind": "measurement", "id": "two-circle-construction-q03" } ] } ] }, { "id": "similarity-and-preservation", "name": "Similarity and preservation", "description": "Track which operations preserve shape and which also preserve size.", "findings": [ { "id": "equilateral-preserving-maps", "name": "Equilateral-preserving maps", "description": "All Euclidean equilateral triangles are similar and are congruent when their side lengths agree. Translations, rotations and reflections preserve size; uniform scaling by a positive factor preserves equilaterality, scales lengths by that factor and scales area by its square. General affine maps need not preserve equilaterality.", "questions": [ { "text": "Does the proposed transformation preserve distances or apply one uniform scale factor to all directions?", "kind": "action", "id": "equilateral-preserving-maps-q01" }, { "text": "What scale factor and vertex correspondence relate the source and target triangles?", "kind": "measurement", "id": "equilateral-preserving-maps-q02" }, { "text": "After a shear or nonuniform scaling, do the transformed side lengths still satisfy the equilateral constraint?", "kind": "boundary", "id": "equilateral-preserving-maps-q03" } ] } ] } ] }, { "id": "evidence-and-external-alignment", "name": "Evidence and external alignment", "description": "What the world already says about this thing, gathered so the model can be checked against it.", "rationale": "A model that cannot be lined up against existing standards, identifiers and practice cannot be adopted by anyone who already uses them.", "layers": [ { "id": "reported-evidence", "name": "Reported evidence", "description": "Findings from the breadth pass, kept separate from the structural claims.", "findings": [ { "id": "evidence-confidence-notes", "name": "Check these first", "description": "Recalled without web access and unsourced; every item is a lead to verify.", "evidence": [ "The unqualified name is interpreted here as a nondegenerate Euclidean plane triangle.", "Check whether a consuming taxonomy uses the inclusive or exclusive definition of isosceles triangle.", "These are recalled mathematical facts, not findings from sources consulted for this response." ], "questions": [ { "id": "evidence-confidence-notes-q01", "text": "Which of these check these first hold for the sense of equilateral triangle this model covers, and on what evidence?", "kind": "provenance" } ] }, { "id": "evidence-real-world-use", "name": "Real-world use", "description": "Recalled without web access and unsourced; every item is a lead to verify.", "evidence": [ "Regular triangular tilings and triangular grids.", "Triangular meshes in numerical modelling, where equilateral elements provide a reference shape for mesh quality.", "Ternary diagrams representing the proportions of three components.", "Geometric construction and teaching of symmetry, congruence and trigonometry." ], "questions": [ { "id": "evidence-real-world-use-q01", "text": "Which of these real-world use hold for the sense of equilateral triangle this model covers, and on what evidence?", "kind": "provenance" } ] }, { "id": "evidence-measurements", "name": "Typical measurements", "description": "Recalled without web access and unsourced; every item is a lead to verify.", "evidence": [ { "quantity": "Side length a", "typical_range": "Any positive real value; there is no intrinsic preferred size.", "unit": "Any consistent length unit" }, { "quantity": "Interior angle", "typical_range": "Exactly 60 at each vertex", "unit": "degree" }, { "quantity": "Perimeter", "typical_range": "Exactly 3a", "unit": "Same length unit as a" }, { "quantity": "Altitude", "typical_range": "Exactly (sqrt(3)/2)a", "unit": "Same length unit as a" }, { "quantity": "Area", "typical_range": "Exactly (sqrt(3)/4)a²", "unit": "Square of the length unit used for a" } ], "questions": [ { "id": "evidence-measurements-q01", "text": "Which of these typical measurements hold for the sense of equilateral triangle this model covers, and on what evidence?", "kind": "provenance" } ] }, { "id": "evidence-failure-modes-and-hazards", "name": "Failure modes and hazards", "description": "Recalled without web access and unsourced; every item is a lead to verify.", "evidence": [ "Physical drawings and manufactured objects approximate exact equality; a practical classification requires a stated measurement tolerance.", "The 60-degree angle property and the stated metric formulas cannot be transferred unchanged to spherical or hyperbolic geometry.", "Zero side length produces a degenerate object rather than an equilateral triangle under the usual definition." ], "questions": [ { "id": "evidence-failure-modes-and-hazards-q01", "text": "Which of these failure modes and hazards hold for the sense of equilateral triangle this model covers, and on what evidence?", "kind": "provenance" } ] }, { "id": "evidence-neighbours", "name": "Neighbouring kinds and how to tell them apart", "description": "Recalled without web access and unsourced; every item is a lead to verify.", "evidence": [ { "name": "triangle", "difference": "A general triangle has three sides; an equilateral triangle additionally requires all three side lengths to be equal." }, { "name": "isosceles triangle", "difference": "Under the inclusive definition, an isosceles triangle has at least two equal sides, making equilateral triangles a subset; an exclusive definition requires exactly two equal sides." }, { "name": "equiangular triangle", "difference": "This term specifies equality of angles rather than sides; in Euclidean geometry the two conditions identify exactly the same triangles." }, { "name": "regular polygon", "difference": "An equilateral triangle is the three-sided regular polygon; regular polygons may have other numbers of sides." } ], "questions": [ { "id": "evidence-neighbours-q01", "text": "Which of these neighbouring kinds and how to tell them apart hold for the sense of equilateral triangle this model covers, and on what evidence?", "kind": "provenance" } ] } ] } ] } ] }, "openQuestions": [ "Does the registry intend this entry to cover only Euclidean equilateral triangles, or also equal-sided triangles in non-Euclidean geometries?", "Which existing triangle or regular-polygon publication should supply shared concepts so this entry contributes only the equilateral specialisation?", "Which reference sources should ground the formal definition, recognition equivalences and derived metric relationships in a researched publication?", "Which application-specific uncertainty model and tolerance should govern approximate classification from measurements or finite-precision coordinates?", "Should instance identity preserve vertex labels and orientation, or identify triangles up to congruence or similarity?" ], "statistics": { "bundles": 5, "layers": 9, "findings": 13, "questions": 25 } }, "draft": { "generator": "vr.draft.v3", "status": "draft-generated", "researched": false, "archetype": "abstract concept", "method": "Written from the archetype playbook - what this kind of thing needs beyond identity and provenance - and from the structure that recurred across 6,333 models already researched by two engines. Applied to this entry by rule. No source was read for this thing and no claim here is researched. This entry carries no facets of its own, so they were inferred from its domain - a guess about a whole domain applied to one thing.", "facetsInferred": true, "nextPass": "A researcher replaces this draft with a sourced specification. Treat every sentence below as a proposal to argue with.", "purpose": "Give an agent a durable, checkable way to recognise a equilateral triangle, record what state it is in, and decide what may be done with it.", "whatItIs": "Enable an agent to recognise an equilateral triangle, distinguish exact geometry from approximate representations, derive its properties and choose valid constructions or transformations.", "characteristics": { "substance": "abstract", "origin": "conceptual", "agency": "inert" }, "whatYouCanDoWithIt": [ "observed and measured" ], "distinguishingFeatures": [ "Described in 81 Wikipedia languages, which is a measure of how widely the thing is known, not of how important it is." ], "openQuestionsForResearch": [ "Which of the bundles below does a real task actually need, and which are ceremony?", "What does this thing have that the facets do not capture at all?", "Which neighbouring kind is most often confused with a equilateral triangle, and on what evidence are they told apart?" ], "whatItIsMadeOf": "an abstraction with no physical instance", "physicalCharacter": [ "Does nothing on its own; everything it does, something else did to it.", "These come from the domain this entry sits in rather than from the entry itself, so treat them as a first guess about the whole domain applied to one thing." ], "whatCanBeDoneWithIt": [ "observe it, measure it, record its state" ], "howItIsRecognised": [ "Nothing to see. What is recognised is an instance of it, and which instances count is exactly what is argued about." ], "relatedModels": [], "standing": "Described in 81 Wikipedia languages, which measures how widely it is written about rather than how important or how common it is.", "structure": { "bundles": [ { "id": "identity-and-classification", "name": "Identity, naming and classification", "description": "How an agent tells one equilateral triangle from another, and a equilateral triangle from things that resemble it.", "rationale": "Recognition comes before every other claim. Without stable identity nothing else in the model can be trusted to be about the same thing twice.", "layers": [ { "id": "naming-and-identifiers", "name": "Names and identifiers", "description": "The names this thing goes by and the identifiers that survive translation and time.", "findings": [ { "id": "preferred-name-and-aliases", "name": "Preferred name, aliases and local names", "description": "Which name to use, which names mean the same thing, and which merely sound similar.", "questions": [ { "id": "preferred-name-and-aliases-q01", "text": "What identifies and describes the name of a equilateral triangle, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "preferred-name-and-aliases-q02", "text": "Who or what asserted this about the name of a equilateral triangle, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "preferred-name-and-aliases-q03", "text": "What may an agent decide or do once the name of a equilateral triangle is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] }, { "id": "stable-identifiers", "name": "Stable identifiers and external keys", "description": "Identifiers that keep pointing at this kind of thing across systems and languages.", "questions": [ { "id": "stable-identifiers-q01", "text": "What identifies and describes an identifier for a equilateral triangle, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "stable-identifiers-q02", "text": "Who or what asserted this about an identifier for a equilateral triangle, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "stable-identifiers-q03", "text": "What may an agent decide or do once an identifier for a equilateral triangle is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] }, { "id": "classification-and-granularity", "name": "Classification and granularity", "description": "Where a equilateral triangle sits among kinds, and how finely a task needs to cut it.", "findings": [ { "id": "kind-and-parents", "name": "Kind, parents and neighbouring kinds", "description": "The classes this thing belongs to and the ones it is next to.", "questions": [ { "id": "kind-and-parents-q01", "text": "What identifies and describes the kind of a equilateral triangle, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "kind-and-parents-q02", "text": "Who or what asserted this about the kind of a equilateral triangle, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "kind-and-parents-q03", "text": "What may an agent decide or do once the kind of a equilateral triangle is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] }, { "id": "distinguishing-features", "name": "Distinguishing features", "description": "What separates a equilateral triangle from the things most often confused with it.", "questions": [ { "id": "distinguishing-features-q01", "text": "What identifies and describes what distinguishes a equilateral triangle, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "distinguishing-features-q02", "text": "Who or what asserted this about what distinguishes a equilateral triangle, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "distinguishing-features-q03", "text": "What may an agent decide or do once what distinguishes a equilateral triangle is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] } ] }, { "id": "state-and-lifecycle", "name": "State and lifecycle", "description": "The states a equilateral triangle passes through and the events that move it between them.", "rationale": "Most decisions about a thing depend on what state it is in now, which is a claim with a time on it, not a property.", "layers": [ { "id": "lifecycle-stages", "name": "Lifecycle stages", "description": "From coming into existence to ceasing to be one of these.", "findings": [ { "id": "stages-and-transitions", "name": "Stages and transitions", "description": "The stages worth naming and what moves a equilateral triangle between them.", "questions": [ { "id": "stages-and-transitions-q01", "text": "What identifies and describes the lifecycle of a equilateral triangle, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "stages-and-transitions-q02", "text": "Who or what asserted this about the lifecycle of a equilateral triangle, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "stages-and-transitions-q03", "text": "What may an agent decide or do once the lifecycle of a equilateral triangle is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] }, { "id": "observations-and-status", "name": "Observations and current status", "description": "What is observed about a equilateral triangle, how often and by whom.", "findings": [ { "id": "observation-record", "name": "Observation record", "description": "How an observation of a equilateral triangle is recorded so that it can be superseded rather than overwritten.", "questions": [ { "id": "observation-record-q01", "text": "What identifies and describes an observation of a equilateral triangle, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "observation-record-q02", "text": "Who or what asserted this about an observation of a equilateral triangle, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "observation-record-q03", "text": "What may an agent decide or do once an observation of a equilateral triangle is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] } ] }, { "id": "definitions-in-contest", "name": "Definitions and who holds them", "description": "What equilateral triangle is taken to mean, and by whom.", "rationale": "When a field disagrees about a concept, the disagreement is the content. A model that picks one definition silently destroys the information.", "layers": [ { "id": "competing-definitions", "name": "Competing definitions", "description": "The main readings and the traditions behind them.", "findings": [ { "id": "definition-map", "name": "Definitions and their holders", "description": "Each definition with the school or body that holds it.", "questions": [ { "id": "definition-map-q01", "text": "Which definitions of equilateral triangle are in use, and which tradition or body holds each?", "kind": "definition" }, { "id": "definition-map-q02", "text": "What turns on the difference between them in practice?", "kind": "boundary" } ] } ] }, { "id": "operationalisation", "name": "Operationalisation", "description": "How it is measured or applied when it has to be.", "findings": [ { "id": "operational-record", "name": "Measures and proxies", "description": "Instruments and indicators used to stand in for it.", "questions": [ { "id": "operational-record-q01", "text": "How is equilateral triangle operationalised or measured in practice, and by what instrument?", "kind": "measurement" }, { "id": "operational-record-q02", "text": "What does that operationalisation leave out, and when does that matter?", "kind": "boundary" } ] } ] } ] }, { "id": "instances-and-use", "name": "Instances, use and consequence", "description": "What counts as an instance of equilateral triangle and what follows from calling something that.", "rationale": "Applying a concept is an act with consequences, so a model must say what the label licenses and what it does not.", "layers": [ { "id": "instances", "name": "What counts as an instance", "description": "Clear cases, borderline cases and non-cases.", "findings": [ { "id": "instance-tests", "name": "Tests for an instance", "description": "What would settle whether something falls under it.", "questions": [ { "id": "instance-tests-q01", "text": "What would settle whether something is an instance of equilateral triangle?", "kind": "boundary" }, { "id": "instance-tests-q02", "text": "Which borderline cases are argued about, and on what grounds?", "kind": "definition" } ] } ] }, { "id": "consequence", "name": "Consequence of application", "description": "Rights, duties or decisions that follow from the label.", "findings": [ { "id": "consequence-record", "name": "What the label licenses", "description": "What an agent may do once something is classified this way.", "questions": [ { "id": "consequence-record-q01", "text": "What follows practically once something is treated as equilateral triangle?", "kind": "action" }, { "id": "consequence-record-q02", "text": "What must an agent not infer from the label alone?", "kind": "action" } ] } ] } ] }, { "id": "provenance-and-evidence", "name": "Provenance, evidence and time", "description": "Where every claim about a equilateral triangle came from and when it held.", "rationale": "A claim without a source and a time cannot be superseded, only overwritten, and an agent that overwrites loses the ability to explain itself.", "layers": [ { "id": "source-and-authority", "name": "Source and authority", "description": "Who said it, on what evidence, and how strongly.", "findings": [ { "id": "claim-provenance", "name": "Claim provenance and confidence", "description": "The authority behind each claim about a equilateral triangle and how confident it is.", "questions": [ { "id": "claim-provenance-q01", "text": "What identifies and describes a claim about a equilateral triangle, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "claim-provenance-q02", "text": "Who or what asserted this about a claim about a equilateral triangle, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "claim-provenance-q03", "text": "What may an agent decide or do once a claim about a equilateral triangle is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] }, { "id": "time-and-versions", "name": "Time, versions and supersession", "description": "When a claim was true, when it was learnt, and what replaced it.", "findings": [ { "id": "validity-and-supersession", "name": "Validity period and supersession", "description": "How an old claim about a equilateral triangle is retired without being erased.", "questions": [ { "id": "validity-and-supersession-q01", "text": "What identifies and describes the validity of a claim about a equilateral triangle, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "validity-and-supersession-q02", "text": "Who or what asserted this about the validity of a claim about a equilateral triangle, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "validity-and-supersession-q03", "text": "What may an agent decide or do once the validity of a claim about a equilateral triangle is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] } ] } ] }, "statistics": { "bundles": 5, "layers": 10, "findings": 12, "questions": 32 } } } }