{ "model": { "rank": 9888, "code": "thing-q211790", "model_id": "vr.tr.logical-operator", "name": "logical operator", "purpose": "Let an agent explain logical operators, relay connectives, quantifiers, truth tables and applications from logic and computer science sources, describe the named operators and flag the misfiled data alias, and distinguish logical operators from bitwise operators, logic gates as hardware, relational operators and semantic triples.", "family": "Thing Registry", "category": "Cross-cutting context", "status": "research-draft", "kind": "thing", "plane": "XCT", "domain": "XCT.QLT", "industry": "", "version": "", "url": "/models/thing/q211790/", "tier": 2, "score": 46, "payload": { "layer": "wikidata", "aliases": [ "semantic triple", "logical connective", "quantifier", "universal quantification", "bounded quantifier", "Counting quantification", "generalized quantifier", "plural quantification", "existential quantification", "uniqueness quantification" ], "aliasCount": 10, "merged": 10, "knownIn": 46, "facets": null, "markers": [], "lexicalClass": "", "senseRank": null, "alsoRegisteredAs": null, "source": { "dataset": "wikidata", "item": "Q211790", "url": "https://www.wikidata.org/wiki/Q211790", "license": "CC0 1.0" } }, "research": { "vercy": "1.0-draft", "publication": { "status": "research-draft", "adjudicationStatus": "unreviewed", "publishableCanonical": false, "generatedAt": "2026-09-13T22:29:46Z", "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": 4, "engine": "claude" }, "metaModel": { "id": "THING-Q211790", "registryId": "vr.tr.logical-operator", "name": "logical operator", "version": "0.2.0-wave.4", "entryKind": "thing", "family": "Thing Registry", "domain": [ "XCT.QLT" ], "status": "research-draft" }, "canonicalUrl": "https://ver.cy/models/thing/q211790/", "model": { "registry_id": "vr.tr.logical-operator", "name": "logical operator", "purpose": "Let an agent explain logical operators, relay connectives, quantifiers, truth tables and applications from logic and computer science sources, describe the named operators and flag the misfiled data alias, and distinguish logical operators from bitwise operators, logic gates as hardware, relational operators and semantic triples.", "definition": "A symbol or function in logic that forms compound expressions from simpler ones, including logical connectives such as negation, conjunction, disjunction, implication and biconditional, whose truth values are given by truth tables, and quantifiers such as universal and existential quantification, bounded quantifiers restricted to a range, used in arithmetic hierarchies, and counting quantifiers that assert how many objects satisfy a property; the registry alias semantic triple names a subject-predicate-object data structure used in RDF and appears misfiled. Logical operators underlie Boolean algebra, digital circuits and programming languages.", "what_it_is_for": "Forming and evaluating logical expressions.", "affordances": [ "explain connectives and quantifiers", "relay truth tables and applications", "describe named operators", "flag misfiled aliases" ], "distinguishing_features": [ "Truth-functional or quantificational", "Truth tables", "Functional completeness", "Foundation of computing" ], "appearance": "Not a physical object; symbols such as not, and, or, implies, for all and there exists.", "visual_identification": [ "Operator building logical expressions", "Semantic triple, logical connective, quantifier, universal quantification, bounded quantifier, counting quantification", "Bitwise operators act on bits; logic gates are circuits; relational operators compare values; semantic triples are RDF data" ], "physical_properties": [ { "quantity": "binary connectives", "typical_range": "16", "unit": "count", "note": "possible two-input truth functions" }, { "quantity": "functionally complete single operators", "typical_range": "NAND, NOR", "unit": "list", "note": "" }, { "quantity": "quantifier notation", "typical_range": "Frege 1879, modern symbols later", "unit": "note", "note": "" } ], "families_and_kinds": [ "unary and binary connectives", "universal and existential quantifiers", "bounded quantifiers", "counting and generalised quantifiers", "modal operators" ], "related_models": [ { "relation": "is a kind of", "target": "Boolean-valued function", "why": "in registry terms" }, { "relation": "includes", "target": "logical conjunction", "why": "" }, { "relation": "is implemented by", "target": "logic gate", "why": "" }, { "relation": "is contrasted with", "target": "semantic triple", "why": "misfiled alias" } ], "identifiers": [], "standards_and_regulation": [ "IEEE and IEC logic symbol standards", "Programming language specifications" ], "failure_modes_and_hazards": [ "Confusing logical and bitwise operators", "Misreading material implication", "Misfiled data structure alias" ], "in_scope": [], "out_of_scope": [], "characteristics": [] }, "sources": [], "structure": { "bundles": [ { "id": "understand", "name": "Understand", "description": "What a logical operator is.", "rationale": "Definition.", "layers": [ { "id": "definition", "name": "Definition", "description": "Definition.", "findings": [ { "id": "definition-finding", "name": "Definition", "description": "Definition.", "questions": [ { "text": "What is a logical operator, and how does it differ from bitwise operators, logic gates, relational operators and semantic triples?", "kind": "definition" }, { "text": "Is the question about logic, programming, circuits or data modelling?", "kind": "boundary" } ] } ] }, { "id": "operators", "name": "Operators", "description": "Named operators.", "findings": [ { "id": "operators-finding", "name": "Operators", "description": "Operators.", "questions": [ { "text": "What are connectives, universal, bounded and counting quantifiers, and why is a semantic triple different?", "kind": "definition" }, { "text": "Which entry fits the specific operator?", "kind": "action" } ] } ] } ] }, { "id": "logic", "name": "Logic", "description": "Logic.", "rationale": "Science.", "layers": [ { "id": "truth", "name": "Truth tables", "description": "Truth tables.", "findings": [ { "id": "truth-finding", "name": "Truth tables", "description": "Truth tables.", "questions": [ { "text": "How do truth tables define connectives, and why is material implication counterintuitive?", "kind": "provenance" }, { "text": "Which references are standard?", "kind": "provenance" } ] } ] }, { "id": "quantifiers", "name": "Quantifiers", "description": "Quantifiers.", "findings": [ { "id": "quantifiers-finding", "name": "Quantifiers", "description": "Quantifiers.", "questions": [ { "text": "How do quantifiers work in first-order logic, and what are generalised quantifiers?", "kind": "provenance" }, { "text": "Which sources are cited?", "kind": "provenance" } ] } ] } ] }, { "id": "computing", "name": "Computing", "description": "Computing.", "rationale": "Science.", "layers": [ { "id": "circuits", "name": "Circuits", "description": "Logic circuits.", "findings": [ { "id": "circuits-finding", "name": "Circuits", "description": "Circuits.", "questions": [ { "text": "How are logical operators implemented as gates, and why is NAND complete?", "kind": "provenance" }, { "text": "Which entry fits NAND gate?", "kind": "action" } ] } ] }, { "id": "code", "name": "Code", "description": "Programming.", "findings": [ { "id": "code-finding", "name": "Code", "description": "Code.", "questions": [ { "text": "How do short-circuit logical operators work in programming languages?", "kind": "provenance" }, { "text": "Which entry fits short-circuit evaluation?", "kind": "action" } ] } ] } ] }, { "id": "context", "name": "Context", "description": "History.", "rationale": "Context.", "layers": [ { "id": "boole", "name": "Boole", "description": "Boolean algebra.", "findings": [ { "id": "boole-finding", "name": "Boole", "description": "Boole.", "questions": [ { "text": "How did Boole and Frege formalise logical operations?", "kind": "provenance" }, { "text": "Which entry fits Boolean algebra?", "kind": "action" } ] } ] }, { "id": "rdf", "name": "RDF", "description": "Semantic triples.", "findings": [ { "id": "rdf-finding", "name": "RDF", "description": "RDF.", "questions": [ { "text": "What is a semantic triple in RDF?", "kind": "provenance" }, { "text": "Which entry fits Resource Description Framework?", "kind": "action" } ] } ] } ] } ] }, "openQuestions": [ "The registry alias semantic triple should be moved to RDF entries", "Should quantifiers be a separate entry from connectives?", "How should logic references be linked?" ], "statistics": { "bundles": 4, "layers": 8, "findings": 8, "questions": 16 } }, "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 logical operator, record what state it is in, and decide what may be done with it.", "whatItIs": "Let an agent explain logical operators, relay connectives, quantifiers, truth tables and applications from logic and computer science sources, describe the named operators and flag the misfiled data alias, and distinguish logical operators from bitwise operators, logic gates as hardware, relational operators and semantic triples.", "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: semantic triple, logical connective, quantifier, universal quantification, bounded quantifier, Counting quantification, generalized quantifier, plural quantification, existential quantification, uniqueness quantification.", "10 finer distinctions are held as aliases rather than separate entries, because telling them apart needs a task that asks for it.", "Described in 46 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 logical operator, 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": [ "semantic triple", "logical connective", "quantifier", "universal quantification", "bounded quantifier", "Counting quantification", "generalized quantifier", "plural quantification", "existential quantification", "uniqueness quantification" ] } ], "standing": "Described in 46 Wikipedia languages, which measures how widely it is written about rather than how important or how common it is. 10 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 logical operator from another, and a logical operator 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 logical operator, 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 logical operator, 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 logical operator 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 logical operator, 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 logical operator, 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 logical operator 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 logical operator 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 logical operator, 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 logical operator, 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 logical operator 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 logical operator from the things most often confused with it.", "questions": [ { "id": "distinguishing-features-q01", "text": "What identifies and describes what distinguishes a logical operator, 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 logical operator, 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 logical operator 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 logical operator 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 logical operator between them.", "questions": [ { "id": "stages-and-transitions-q01", "text": "What identifies and describes the lifecycle of a logical operator, 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 logical operator, 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 logical operator 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 logical operator, how often and by whom.", "findings": [ { "id": "observation-record", "name": "Observation record", "description": "How an observation of a logical operator 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 logical operator, 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 logical operator, 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 logical operator 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 logical operator 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 logical operator 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 logical operator 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 logical operator 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 logical operator?", "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 logical operator?", "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 logical operator 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 logical operator and how confident it is.", "questions": [ { "id": "claim-provenance-q01", "text": "What identifies and describes a claim about a logical operator, 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 logical operator, 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 logical operator 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 logical operator is retired without being erased.", "questions": [ { "id": "validity-and-supersession-q01", "text": "What identifies and describes the validity of a claim about a logical operator, 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 logical operator, 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 logical operator 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 } } } }