{ "model": { "rank": 5230, "code": "thing-q275447", "model_id": "vr.tr.slope", "name": "slope", "purpose": "Enable an agent to identify, measure and interpret slope as a coordinate-dependent rate of change, and determine when slope comparisons or transformations are valid.", "family": "Thing Registry", "category": "Cross-cutting context", "status": "research-draft", "kind": "thing", "plane": "XCT", "domain": "XCT.QLT", "industry": "", "version": "", "url": "/models/thing/q275447/", "tier": 2, "score": 69, "payload": { "layer": "wikidata", "aliases": [ "tangent modulus", "angle of repose" ], "aliasCount": 2, "merged": 2, "knownIn": 69, "facets": null, "markers": [], "lexicalClass": "", "senseRank": null, "alsoRegisteredAs": "vr.tr.slope", "source": { "dataset": "wikidata", "item": "Q275447", "url": "https://www.wikidata.org/wiki/Q275447", "license": "CC0 1.0" } }, "research": { "vercy": "1.0-draft", "publication": { "status": "research-draft", "adjudicationStatus": "unreviewed", "publishableCanonical": false, "generatedAt": "2026-09-09T21:56:08Z", "providers": [ "Codex" ], "breadth": "recalled by Codex without web access - no source was read", "missingProviders": [], "pass": 2, "cost": { "grok": { "seconds": 18.6, "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: 01a0882b-01b8-7a31-ae3b-a1f12355afcc\n--------\nuser\nDescribe what is already known about one registered thing. Answer as JSON only, no prose around it.\n\nThing: slope\nSense to describe: (none recorded)\nDomain code: XCT.QLT\nAlso known as: (none)\n\n\nContext for this batch of 1001 things:\n# Batch 005: 1001 registere", "usd": 0, "recall": true }, "codex": { "seconds": 54.1, "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: 01a0882b-01bd-7193-bfdd-4d94e39dbe65\n--------\nuser\nYou are drafting a Vercy meta-model for one registered thing. Answer as JSON only, no prose around it.\n\nThing: slope\nRegistry id: vr.tr.slope\nPlane / domain: XCT / XCT.QLT\nRegistry definition: (none recorded)\nNames folded into this entry: (none)\n\n\nContext for " } } }, "metaModel": { "id": "THING-Q275447", "registryId": "vr.tr.slope", "name": "slope", "version": "0.1.0-research.1", "entryKind": "thing", "family": "Thing Registry", "domain": [ "XCT.QLT" ], "status": "research-draft" }, "canonicalUrl": "https://ver.cy/models/thing/q275447/", "model": { "registry_id": "vr.tr.slope", "name": "slope", "purpose": "Enable an agent to identify, measure and interpret slope as a coordinate-dependent rate of change, and determine when slope comparisons or transformations are valid.", "definition": "Slope is the signed ratio of change in a dependent coordinate to change in an independent coordinate for a nonvertical straight line, extended to a curve locally through its derivative where that derivative exists.", "scope_statement": "This model owns slope in the mathematical sense of change in a dependent coordinate relative to change in an independent coordinate, including straight-line, interval, local and fitted slopes, with geometric grade as an application; the registry provides no definition confirming this interpretation.", "in_scope": [ "Straight-line slope expressed as a ratio of coordinate differences", "Secant slope over an explicitly bounded interval", "Tangent slope defined by a derivative where it exists", "Slope representations using ratios, percentages and angles under stated conventions", "Estimated or fitted slopes with their coordinate, model and uncertainty assumptions", "Directional slopes of surfaces along a specified direction" ], "out_of_scope": [ "Hillsides, embankments and other physical sloping features as objects", "Geotechnical slope stability and landslide risk", "Complete functions, curves and surfaces beyond their slope properties", "Full statistical model specification and causal inference", "Gradient vector fields beyond their relation to directional slope", "Curvature and higher-order rates of change" ], "distinguishing_features": [ "A slope requires an identified dependent coordinate and independent coordinate; an elevation or displacement alone is insufficient.", "An interval slope divides dependent-coordinate change by independent-coordinate change, rather than by distance travelled along the line.", "A tangent slope concerns local first-order change; curvature concerns how direction changes along a curve.", "An inclination angle represents slope through a tangent relation only when axes, orientation and compatible length units are established.", "A scalar directional slope on a surface requires a specified direction; a gradient represents local change across directions." ], "characteristics": [ { "name": "Slope construction", "kind": "category", "unit_or_values": "straight-line ratio | interval secant | local derivative | fitted coefficient | directional derivative", "why_it_matters": "Determines what evidence and assumptions justify the value." }, { "name": "Coordinate dependency", "kind": "relation", "unit_or_values": "Dependent coordinate relative to independent coordinate, including axis orientation and transformations", "why_it_matters": "Slope changes when coordinates, units or axis order change." }, { "name": "Slope value", "kind": "measurement", "unit_or_values": "Dependent-coordinate units per independent-coordinate unit; dimensionless when compatible dimensions cancel", "why_it_matters": "Expresses the rate of change and establishes whether numerical comparisons are meaningful." }, { "name": "Evaluation support", "kind": "relation", "unit_or_values": "Line | endpoint pair | interval | evaluation point | fitted sample | surface point and direction", "why_it_matters": "Identifies exactly where and over what extent the slope applies." }, { "name": "Existence and finiteness", "kind": "state", "unit_or_values": "finite | undefined quotient | unbounded one-sided behavior | derivative does not exist | not established", "why_it_matters": "Prevents vertical lines, corners and missing evidence from being represented as ordinary finite slopes." }, { "name": "Reporting convention", "kind": "category", "unit_or_values": "signed ratio | magnitude | percent grade | inclination angle | named rise-to-run convention", "why_it_matters": "Prevents sign loss and reciprocal or angle conversion errors." }, { "name": "Estimation uncertainty", "kind": "measurement", "unit_or_values": "Standard error, interval, bound or sensitivity measure with method and assumptions stated", "why_it_matters": "Distinguishes exact mathematical values from estimates sensitive to noise, sampling or fitting choices." } ], "affordances": [ "Compute slope from coordinate differences while checking for a zero denominator.", "Evaluate a derivative or directional derivative when its existence and evaluation context are established.", "Convert slope representations when units and rise, run and angle conventions permit.", "Compare slopes after aligning coordinates, units, evaluation supports and estimation methods.", "Assess whether an interval or fitted slope adequately represents local behavior.", "Flag undefined, direction-dependent or poorly supported slopes before using them in decisions." ] }, "sources": [], "structure": { "bundles": [ { "id": "slope-sense-and-construction", "name": "Slope sense and construction", "description": "Identify the mathematical quantity intended by a slope claim.", "rationale": "The same word can denote a constant line ratio, an interval average, a local derivative or a fitted trend, each supporting different conclusions.", "layers": [ { "id": "mathematical-sense", "name": "Mathematical sense", "description": "Separate slope as a rate of change from neighbouring meanings.", "findings": [ { "id": "rate-versus-physical-feature", "name": "Rate versus physical feature", "description": "A slope quantity describes a relation between coordinates; a hillside or ramp is an object that can carry such quantities.", "questions": [ { "text": "Does this instance mean a rate of change, an inclination measure or a physical sloping feature?", "kind": "definition", "id": "rate-versus-physical-feature-q01" }, { "text": "Which registry evidence supports interpreting vr.tr.slope as the mathematical quantity?", "kind": "provenance", "id": "rate-versus-physical-feature-q02" } ] } ] }, { "id": "construction-type", "name": "Construction type", "description": "Specify how the slope is defined or obtained.", "findings": [ { "id": "secant-tangent-and-fit", "name": "Secant, tangent and fitted slope", "description": "A secant uses two points, a tangent uses limiting local change, and a fitted slope depends on a model and observations; they need not agree.", "questions": [ { "text": "Is the value a straight-line ratio, secant slope, derivative or fitted coefficient?", "kind": "definition", "id": "secant-tangent-and-fit-q01" }, { "text": "What endpoints, function, limiting procedure or fitting method produced it?", "kind": "provenance", "id": "secant-tangent-and-fit-q02" } ] } ] } ] }, { "id": "coordinates-units-and-representations", "name": "Coordinates, units and representations", "description": "Establish the frame in which a slope value has meaning.", "rationale": "Identical geometry can receive different numerical slopes under unit changes, reversed axes or alternative reporting conventions.", "layers": [ { "id": "coordinate-frame", "name": "Coordinate frame", "description": "Record dependency, orientation, units and coordinate transformations.", "findings": [ { "id": "axis-dependent-value", "name": "Axis-dependent value", "description": "Slope is measured relative to chosen coordinates, so rescaling, reversing or transforming those coordinates can change its value and interpretation.", "questions": [ { "text": "Which coordinate is the numerator and which is the denominator, with what units and positive directions?", "kind": "measurement", "id": "axis-dependent-value-q01" }, { "text": "Are the coordinates original values or transformed values such as logarithms?", "kind": "boundary", "id": "axis-dependent-value-q02" } ] } ] }, { "id": "reporting-and-conversion", "name": "Reporting and conversion", "description": "Resolve ratios, percentages and angles before converting or comparing them.", "findings": [ { "id": "grade-angle-and-ratio", "name": "Grade, angle and ratio", "description": "For orthogonal spatial axes with compatible length units, signed rise divided by horizontal run can be expressed as percent grade or as the tangent of an appropriately defined inclination angle.", "questions": [ { "text": "Does the reported ratio mean rise to run or run to rise, and does it preserve direction?", "kind": "definition", "id": "grade-angle-and-ratio-q01" }, { "text": "Are the axes, length units and angle reference suitable for the proposed conversion?", "kind": "action", "id": "grade-angle-and-ratio-q02" } ] } ] } ] }, { "id": "locality-direction-and-existence", "name": "Locality, direction and existence", "description": "Determine where a slope applies and whether it exists there.", "rationale": "A single slope can conceal changing behavior, singular points or variation with direction.", "layers": [ { "id": "evaluation-extent-and-direction", "name": "Evaluation extent and direction", "description": "Locate the slope on a line, curve or surface and establish its spatial or coordinate support.", "findings": [ { "id": "point-interval-and-direction", "name": "Point, interval and direction", "description": "An interval slope summarizes endpoint change, while a local slope concerns a point; on a surface, directional slope additionally requires a direction and its normalization.", "questions": [ { "text": "At what point, over what interval or along what specified surface direction is the slope evaluated?", "kind": "measurement", "id": "point-interval-and-direction-q01" }, { "text": "Could changes within the interval or across directions make this scalar value misleading?", "kind": "boundary", "id": "point-interval-and-direction-q02" } ] } ] }, { "id": "exceptional-cases", "name": "Exceptional cases", "description": "Distinguish finite slope from undefined quotients and failures of differentiability.", "findings": [ { "id": "verticals-corners-and-limits", "name": "Verticals, corners and limits", "description": "Zero independent-coordinate change prevents a finite difference quotient; local derivatives can also fail because one-sided limits disagree or are not finite.", "questions": [ { "text": "Is the independent-coordinate difference nonzero, or does the required finite derivative exist?", "kind": "measurement", "id": "verticals-corners-and-limits-q01" }, { "text": "Should this case be recorded as an undefined quotient, unequal one-sided slopes or unbounded limiting behavior?", "kind": "action", "id": "verticals-corners-and-limits-q02" } ] } ] } ] }, { "id": "estimation-and-valid-use", "name": "Estimation and valid use", "description": "Assess evidence behind an estimated slope and constrain its application.", "rationale": "Measured and fitted slopes depend on observation quality and modelling choices, and their use can exceed what those choices establish.", "layers": [ { "id": "estimate-support", "name": "Estimate support", "description": "Record the observations and method supporting a numerical estimate.", "findings": [ { "id": "noise-spacing-and-fit", "name": "Noise, spacing and fit", "description": "Finite differences and fitted coefficients can be sensitive to coordinate errors, sample spacing, smoothing and the fitting objective.", "questions": [ { "text": "Which observations, spacing, smoothing choices and fitting assumptions support the estimate?", "kind": "provenance", "id": "noise-spacing-and-fit-q01" }, { "text": "How uncertain or sensitive is the estimated slope under plausible measurement errors or method changes?", "kind": "measurement", "id": "noise-spacing-and-fit-q02" } ] } ] }, { "id": "comparison-and-application", "name": "Comparison and application", "description": "Check whether a slope supports the intended comparison or decision.", "findings": [ { "id": "interpretation-limits", "name": "Interpretation limits", "description": "Slope comparisons require compatible definitions and coordinates; local or fitted slopes alone do not establish global linearity, reliable extrapolation or causation.", "questions": [ { "text": "Do the slopes being compared share compatible units, coordinate transformations, evaluation supports and constructions?", "kind": "boundary", "id": "interpretation-limits-q01" }, { "text": "What additional evidence is required before using this slope to extrapolate, infer causation or apply a domain threshold?", "kind": "action", "id": "interpretation-limits-q02" } ] } ] } ] }, { "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": [ "With no recorded sense, the abstract mathematical quantity is assumed; the physical landform sense is excluded.", "Terminology varies: vertical slopes may be called infinite informally, but the ordinary real-valued ratio is undefined.", "Recalled mathematical knowledge only; no sources or standards were consulted." ], "questions": [ { "id": "evidence-confidence-notes-q01", "text": "Which of these check these first hold for the sense of slope this model covers, and on what evidence?", "kind": "provenance" } ] }, { "id": "evidence-kinds", "name": "Kinds and varieties", "description": "Recalled without web access and unsourced; every item is a lead to verify.", "evidence": [ "Positive slope", "Negative slope", "Zero slope", "Undefined slope of a vertical line", "Secant slope over an interval", "Tangent slope at a point" ], "questions": [ { "id": "evidence-kinds-q01", "text": "Which of these kinds and varieties hold for the sense of slope 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": [ "Expressing rates of change between quantities in mathematical and empirical models.", "Describing road, ramp and drainage gradients.", "Estimating terrain steepness from elevation data.", "Interpreting coefficients in linear regression.", "Calculating instantaneous rates such as velocity from position versus time." ], "questions": [ { "id": "evidence-real-world-use-q01", "text": "Which of these real-world use hold for the sense of slope 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": "Cartesian slope, Δy/Δx", "typical_range": "Any real number for a nonvertical line; undefined when Δx is zero.", "unit": "Units of y divided by units of x; dimensionless when both coordinates have the same dimension." }, { "quantity": "Percent grade", "typical_range": "Zero for level ground; magnitude can exceed 100%; sign depends on direction.", "unit": "%, calculated as 100 × vertical change / horizontal distance" }, { "quantity": "Inclination angle for a nonvertical line", "typical_range": "Between −90° and +90° using the principal arctangent convention and equally scaled spatial coordinates.", "unit": "degree or radian" } ], "questions": [ { "id": "evidence-measurements-q01", "text": "Which of these typical measurements hold for the sense of slope 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": [ "Confusing horizontal distance with distance measured along an incline.", "Confusing percent grade with degrees: a 100% grade corresponds to 45°.", "Inferring numerical slope from visual steepness when graph axes use different scales.", "Treating a vertical line as having an ordinary finite slope or assuming every curve has a derivative everywhere.", "Treating an average slope over an interval as the local slope throughout that interval." ], "questions": [ { "id": "evidence-failure-modes-and-hazards-q01", "text": "Which of these failure modes and hazards hold for the sense of slope this model covers, and on what evidence?", "kind": "provenance" } ] }, { "id": "evidence-regional-variation", "name": "Regional variation", "description": "Recalled without web access and unsourced; every item is a lead to verify.", "evidence": [ "Engineering usage may express incline as percent grade, an angle or a rise-to-run ratio; ratio order must be stated explicitly." ], "questions": [ { "id": "evidence-regional-variation-q01", "text": "Which of these regional variation hold for the sense of slope 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": "Gradient", "difference": "Often a synonym for slope in one dimension; in multivariable calculus, the gradient is a vector of partial derivatives." }, { "name": "Derivative", "difference": "A derivative gives local rate of change; slope also applies to straight lines and secants without taking a limit." }, { "name": "Inclination angle", "difference": "Angle measures orientation; slope is its tangent for equally scaled Cartesian spatial coordinates." }, { "name": "Curvature", "difference": "Curvature measures how rapidly direction changes along a curve; a straight line has zero curvature regardless of its slope." }, { "name": "Hillside", "difference": "A hillside is a physical landform; slope in the sense described here is a mathematical property used to characterize it." } ], "questions": [ { "id": "evidence-neighbours-q01", "text": "Which of these neighbouring kinds and how to tell them apart hold for the sense of slope this model covers, and on what evidence?", "kind": "provenance" } ] } ] } ] } ] }, "openQuestions": [ "Does the registry intend mathematical slope specifically, or does it also include physical terrain or another disciplinary sense?", "Which existing Vercy models own derivative, gradient, rate of change and inclination, and where should this entry link to them?", "Should fitted regression slopes and transformed-coordinate slopes remain applications within this entry or be delegated to neighbouring models?", "Which domain-specific grade conventions, including rise-to-run ordering and signed versus unsigned reporting, must the model support?", "Which conventions should govern vertical slopes and infinite limiting values while preserving the distinction from finite real-valued derivatives?" ], "statistics": { "bundles": 5, "layers": 9, "findings": 15, "questions": 23 } }, "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 slope, record what state it is in, and decide what may be done with it.", "whatItIs": "Enable an agent to identify, measure and interpret slope as a coordinate-dependent rate of change, and determine when slope comparisons or transformations are valid.", "characteristics": { "substance": "abstract", "origin": "conceptual", "agency": "inert" }, "whatYouCanDoWithIt": [ "observed and measured" ], "distinguishingFeatures": [ "Names folded into this entry, which a task may need to split apart again: tangent modulus, angle of repose.", "2 finer distinctions are held as aliases rather than separate entries, because telling them apart needs a task that asks for it.", "Described in 69 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 slope, 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": [ { "relation": "covers", "note": "Finer kinds folded into this entry because telling them apart needs a task that asks for it. Each is a model waiting to be split out when one does.", "targets": [ "tangent modulus", "angle of repose" ] } ], "standing": "Described in 69 Wikipedia languages, which measures how widely it is written about rather than how important or how common it is. 2 finer distinctions are held inside this entry as names rather than as separate models.", "structure": { "bundles": [ { "id": "identity-and-classification", "name": "Identity, naming and classification", "description": "How an agent tells one slope from another, and a slope 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 slope, 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 slope, 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 slope 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 slope, 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 slope, 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 slope 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 slope 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 slope, 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 slope, 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 slope 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 slope from the things most often confused with it.", "questions": [ { "id": "distinguishing-features-q01", "text": "What identifies and describes what distinguishes a slope, 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 slope, 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 slope 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 slope 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 slope between them.", "questions": [ { "id": "stages-and-transitions-q01", "text": "What identifies and describes the lifecycle of a slope, 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 slope, 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 slope 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 slope, how often and by whom.", "findings": [ { "id": "observation-record", "name": "Observation record", "description": "How an observation of a slope 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 slope, 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 slope, 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 slope 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 slope 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 slope 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 slope 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 slope 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 slope?", "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 slope?", "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 slope 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 slope and how confident it is.", "questions": [ { "id": "claim-provenance-q01", "text": "What identifies and describes a claim about a slope, 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 slope, 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 slope 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 slope is retired without being erased.", "questions": [ { "id": "validity-and-supersession-q01", "text": "What identifies and describes the validity of a claim about a slope, 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 slope, 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 slope 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 } } } }