{ "model": { "rank": 14031, "code": "thing-fraction-quantity", "model_id": "vr.tr.fraction-quantity", "name": "fraction", "purpose": "the quotient of two rational numbers", "family": "Thing Registry", "category": "Cross-cutting context", "status": "research-draft", "kind": "thing", "plane": "XCT", "domain": "XCT.QTY", "industry": "", "version": "", "url": "/models/thing/fraction-quantity/", "tier": 2, "score": 36, "payload": { "layer": "wordnet", "aliases": [ "mantissa", "fixed-point part", "common fraction", "simple fraction", "improper fraction", "proper fraction", "complex fraction", "compound fraction", "decimal fraction", "decimal", "circulating decimal", "recurring decimal", "repeating decimal", "continued fraction", "one-half", "half", "fifty percent", "moiety", "mediety", "one-third", "third", "tierce", "two-thirds", "one-fourth", "fourth", "one-quarter", "quarter", "fourth part", "twenty-five percent", "quartern", "three-fourths", "three-quarters", "one-fifth", "fifth", "fifth part", "twenty percent", "one-sixth", "sixth", "one-seventh", "seventh" ], "aliasCount": 81, "merged": 36, "knownIn": 0, "facets": { "substance": "abstract", "origin": "conceptual", "agency": "inert", "mobility": "not-applicable", "scale": "not-applicable", "affordances": [ "observable" ] }, "markers": [], "lexicalClass": "noun.quantity", "senseRank": 2, "alsoRegisteredAs": null, "source": { "dataset": "oewn:2024", "synset": "oewn-13754218-n", "ili": "i109027", "license": "CC BY 4.0" } }, "research": { "vercy": "1.0-draft", "publication": { "status": "research-draft", "adjudicationStatus": "unreviewed", "publishableCanonical": false, "generatedAt": "2026-09-11T10:55:24Z", "providers": [ "Claude" ], "breadth": "written by Claude from model knowledge without web access - no source was read, every claim is a lead to verify", "pass": 2, "wave": 1, "engine": "claude" }, "metaModel": { "id": "THING-FRACTION-QUANTITY", "registryId": "vr.tr.fraction-quantity", "name": "fraction", "version": "0.2.0-wave.1", "entryKind": "thing", "family": "Thing Registry", "domain": [ "XCT.QTY" ], "status": "research-draft" }, "canonicalUrl": "https://ver.cy/models/thing/fraction-quantity/", "model": { "registry_id": "vr.tr.fraction-quantity", "name": "fraction", "purpose": "Let an agent handle fractions by type, operations, simplification and conversion to decimals and percentages, for learning and practical use.", "definition": "The quotient of two numbers written as a numerator over a denominator, such as proper fractions (3/4), improper fractions (7/4) and mixed numbers; also the fractional part of a number after the integer part.", "what_it_is_for": "Expressing parts of wholes and ratios.", "affordances": [ "simplify fractions", "add, subtract, multiply and divide fractions", "convert to decimals and percentages", "compare fractions" ], "distinguishing_features": [ "Part of a whole or ratio", "Many equivalent forms", "Rules for operations", "Converts to decimals" ], "appearance": "Two numbers separated by a line or slash.", "visual_identification": [ "Numerator and denominator", "Proper, improper and mixed forms", "Fraction in chemistry (distillation fraction) is a different sense" ], "physical_properties": [], "families_and_kinds": [ "proper fractions", "improper fractions", "mixed numbers", "unit fractions", "decimal and binary fractions" ], "related_models": [ { "relation": "is a kind of", "target": "rational number representation", "why": "category" }, { "relation": "is simplified using", "target": "greatest common divisor", "why": "method" }, { "relation": "is related to", "target": "percentage and decimal", "why": "forms" }, { "relation": "is confused with", "target": "fraction (chemistry)", "why": "another sense" } ], "identifiers": [], "standards_and_regulation": [ "ISO 80000-2 notation" ], "failure_modes_and_hazards": [ "Adding denominators directly", "Rounding errors in conversions" ], "in_scope": [], "out_of_scope": [], "characteristics": [] }, "sources": [], "structure": { "bundles": [ { "id": "form", "name": "Form", "description": "Which fraction.", "rationale": "Forms differ.", "layers": [ { "id": "type", "name": "Type", "description": "Proper or improper.", "findings": [ { "id": "type-finding", "name": "Type", "description": "Fraction type.", "questions": [ { "text": "Is it a proper, improper or mixed fraction?", "kind": "definition" }, { "text": "How can it be rewritten?", "kind": "action" } ] } ] }, { "id": "simplify", "name": "Simplify", "description": "Lowest terms.", "findings": [ { "id": "simplify-finding", "name": "Simplify", "description": "Simplification.", "questions": [ { "text": "What is the fraction in lowest terms?", "kind": "measurement" }, { "text": "Which common divisor was used?", "kind": "definition" } ] } ] } ] }, { "id": "operations", "name": "Operations", "description": "Arithmetic.", "rationale": "Rules must be followed.", "layers": [ { "id": "add", "name": "Add", "description": "Common denominators.", "findings": [ { "id": "add-finding", "name": "Add", "description": "Addition and subtraction.", "questions": [ { "text": "What is the result of adding or subtracting these fractions?", "kind": "measurement" }, { "text": "Was a common denominator found?", "kind": "boundary" } ] } ] }, { "id": "multiply", "name": "Multiply", "description": "Multiply and divide.", "findings": [ { "id": "multiply-finding", "name": "Multiply", "description": "Multiplication and division.", "questions": [ { "text": "What is the product or quotient?", "kind": "measurement" }, { "text": "Was the divisor inverted correctly?", "kind": "boundary" } ] } ] } ] }, { "id": "conversion", "name": "Conversion", "description": "Decimals and percents.", "rationale": "Conversions help comparison.", "layers": [ { "id": "decimal", "name": "Decimal", "description": "Conversion.", "findings": [ { "id": "decimal-finding", "name": "Decimal", "description": "Decimal conversion.", "questions": [ { "text": "What is the fraction as a decimal or percentage?", "kind": "measurement" }, { "text": "Does the decimal repeat?", "kind": "definition" } ] } ] }, { "id": "compare", "name": "Compare", "description": "Ordering.", "findings": [ { "id": "compare-finding", "name": "Compare", "description": "Comparison.", "questions": [ { "text": "Which fraction is larger?", "kind": "measurement" }, { "text": "How can they be compared quickly?", "kind": "action" } ] } ] } ] }, { "id": "learning", "name": "Learning", "description": "Teaching.", "rationale": "Visual models help.", "layers": [ { "id": "models", "name": "Models", "description": "Visuals.", "findings": [ { "id": "models-finding", "name": "Models", "description": "Visual models.", "questions": [ { "text": "Which visual models help learners understand fractions?", "kind": "action" }, { "text": "Which misconceptions are common?", "kind": "boundary" } ] } ] }, { "id": "senses", "name": "Senses", "description": "Disambiguation.", "findings": [ { "id": "senses-finding", "name": "Senses", "description": "Other senses.", "questions": [ { "text": "Is a chemical fraction or a small portion in general meant?", "kind": "boundary" }, { "text": "Which entry fits?", "kind": "action" } ] } ] } ] } ] }, "openQuestions": [ "Should fraction types be separate entries?", "How should teaching resources be linked?", "How should other senses be split off?" ], "statistics": { "bundles": 4, "layers": 8, "findings": 8, "questions": 16 } }, "draft": { "generator": "vr.draft.v3", "status": "draft-generated", "researched": false, "archetype": "unit, quantity or measure", "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.", "facetsInferred": false, "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 fraction, record what state it is in, and decide what may be done with it.", "whatItIs": "the quotient of two rational numbers", "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: mantissa, fixed-point part, common fraction, simple fraction, improper fraction, proper fraction, complex fraction, compound fraction, decimal fraction, decimal, circulating decimal, recurring decimal.", "36 finer distinctions are held as aliases rather than separate entries, because telling them apart needs a task that asks for it." ], "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 fraction, 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." ], "whatCanBeDoneWithIt": [ "observe it, measure it, record its state" ], "howItIsRecognised": [ "Nothing to see: a unit is a convention. What is seen is an instrument reading in it." ], "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": [ "mantissa", "fixed-point part", "common fraction", "simple fraction", "improper fraction", "proper fraction", "complex fraction", "compound fraction", "decimal fraction", "decimal", "circulating decimal", "recurring decimal" ] } ], "standing": "36 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 fraction from another, and a fraction 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 fraction, 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 fraction, 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 fraction 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 fraction, 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 fraction, 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 fraction 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 fraction 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 fraction, 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 fraction, 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 fraction 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 fraction from the things most often confused with it.", "questions": [ { "id": "distinguishing-features-q01", "text": "What identifies and describes what distinguishes a fraction, 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 fraction, 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 fraction 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 fraction 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 fraction between them.", "questions": [ { "id": "stages-and-transitions-q01", "text": "What identifies and describes the lifecycle of a fraction, 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 fraction, 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 fraction 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 fraction, how often and by whom.", "findings": [ { "id": "observation-record", "name": "Observation record", "description": "How an observation of a fraction 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 fraction, 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 fraction, 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 fraction is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] } ] }, { "id": "definition-and-realisation", "name": "Definition, dimension and realisation", "description": "What fraction is defined as and how it is realised in practice.", "rationale": "A unit is not the quantity it measures, and its definition has a history that older data still depends on.", "layers": [ { "id": "definition", "name": "Definition and dimension", "description": "The defining relation and the quantity it measures.", "findings": [ { "id": "definition-record", "name": "Definition, body and date", "description": "What defines it now, and what defined it before.", "questions": [ { "id": "definition-record-q01", "text": "How is fraction defined, by which body, and since when?", "kind": "definition" }, { "id": "definition-record-q02", "text": "What was the previous definition, and what data still depends on it?", "kind": "provenance" } ] } ] }, { "id": "conversion", "name": "Conversion and compatibility", "description": "Relations to other units, exact or approximate.", "findings": [ { "id": "conversion-record", "name": "Conversions and their exactness", "description": "Factors, and whether each is exact by definition.", "questions": [ { "id": "conversion-record-q01", "text": "What conversions relate fraction to other units, and which are exact by definition?", "kind": "measurement" }, { "id": "conversion-record-q02", "text": "Where does rounding a conversion change a decision, and how should that be recorded?", "kind": "action" } ] } ] } ] }, { "id": "provenance-and-evidence", "name": "Provenance, evidence and time", "description": "Where every claim about a fraction 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 fraction and how confident it is.", "questions": [ { "id": "claim-provenance-q01", "text": "What identifies and describes a claim about a fraction, 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 fraction, 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 fraction 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 fraction is retired without being erased.", "questions": [ { "id": "validity-and-supersession-q01", "text": "What identifies and describes the validity of a claim about a fraction, 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 fraction, 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 fraction is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] } ] } ] }, "statistics": { "bundles": 4, "layers": 8, "findings": 10, "questions": 28 } } } }