{"schema":"https://ver.cy/schemas/card/1.0.0","id":"vr.tr.decad","code":"thing-q2643280","url":"https://ver.cy/models/thing/q2643280/","name":"decad","alternateNames":["dectet"],"kind":"thing","status":"published","version":"0.1.0-research.1","language":"en","classifiers":{"family":"Thing Registry","category":"Cross-cutting context","entryKind":"thing","plane":"XCT","domain":["XCT.QLT"],"industry":[],"navPath":"","tags":[],"facets":{}},"whatItIs":"A decad is a group or set of ten, with a historical philosophical use for the number ten understood as a complete whole in Pythagorean thought.","purpose":"Enable an agent to recognise, verify and manage a decad as a group or series of exactly ten countable members under an explicit counting rule.","scope":{"in":["Groups or series whose defining member count is exactly ten","Rules determining what constitutes one counted member","Membership evidence and verification of the ten-member total","Distinctions between ten distinct entities, ten occurrences and ten occupied positions","Conditions under which changes preserve or invalidate decad status"],"out":["The abstract number ten and its general arithmetic properties","Calendar decades and other durations","Logarithmic intervals spanning a factor of ten","Musical decads whose identity requires particular relationships among notes","Specific named religious, philosophical or literary collections and their substantive content","Decimal notation and base-ten numeral systems"],"boundaries":[]},"distinguishingFeatures":["A candidate must identify what is being grouped; the numeral 10 alone does not identify a decad.","Exactly ten members must qualify under the declared counting rule; an approximate count or a capacity of ten is insufficient.","Ten repeated occurrences may qualify as a series of ten occurrences, while failing a requirement for ten distinct entities.","A tenfold ratio does not establish ten members and therefore does not establish a decad in this scope.","A ten-member count establishes numerical qualification but does not establish the additional identity conditions of a specialised named decad."],"structure":{"bundles":[{"id":"decad-sense-and-boundary","name":"Decad sense and boundary","description":"Establish which meaning of decad is intended before applying a ten-member test.","layers":[{"id":"collective-sense","name":"Collective sense","description":"Identify the reading that treats a decad as a group or series of ten.","findings":[{"id":"provisional-registry-interpretation","name":"Provisional registry interpretation","description":"The collective reading has direct lexical support in [Wikidata](https://www.wikidata.org/wiki/Q135236590), but its correspondence to this registry id remains to be verified.","questions":[{"text":"Does the registry's originating record identify a group or series of ten?","id":"provisional-registry-interpretation-q01","kind":"provenance"},{"text":"What example would the registry curator accept as an instance of this entry?","id":"provisional-registry-interpretation-q02","kind":"definition"}]}]},{"id":"competing-word-senses","name":"Competing word senses","description":"Separate collective cardinality from other meanings of the same word.","findings":[{"id":"sense-specific-routing","name":"Sense-specific routing","description":"[Collins](https://www.collinsdictionary.com/dictionary/english/decad) records numerical, musical and decade-variant senses; the collective interpretation must therefore be selected explicitly.","questions":[{"text":"Does this usage denote ten members, the number ten, a duration or a specialised musical structure?","id":"sense-specific-routing-q01","kind":"boundary"},{"text":"Which neighbouring model should receive a usage whose defining condition is not collective membership?","id":"sense-specific-routing-q02","kind":"action"}]}]}]},{"id":"ten-member-counting","name":"Ten-member counting","description":"Make the numerical test reproducible by declaring the counted unit and duplication rule.","layers":[{"id":"unit-of-membership","name":"Unit of membership","description":"Specify what contributes one member.","findings":[{"id":"one-counted-member","name":"One counted member","description":"The proposed operationalisation requires a stable counting level before evaluating the total.","questions":[{"text":"Is one member an individual object, an occurrence, a position or an entire subgroup?","id":"one-counted-member-q01","kind":"definition"},{"text":"Are containers or subgroups being counted alongside their contents, mixing counting levels?","id":"one-counted-member-q02","kind":"measurement"}]}]},{"id":"distinctness-and-total","name":"Distinctness and total","description":"Apply the equivalence rule and determine whether the resulting count is ten.","findings":[{"id":"ten-after-equivalence","name":"Ten after equivalence","description":"Qualification depends on ten countable members after resolving duplicates under the declared collection form.","questions":[{"text":"Which apparent members refer to the same entity, and should repeated occurrences count separately?","id":"ten-after-equivalence-q01","kind":"measurement"},{"text":"Does the resulting enumeration contain exactly ten qualifying members?","id":"ten-after-equivalence-q02","kind":"measurement"},{"text":"Would switching from occurrence counting to distinct-entity counting change the result?","id":"ten-after-equivalence-q03","kind":"boundary"}]}]}]},{"id":"ten-as-a-whole","name":"Ten as a whole","description":"Describe the grouping boundary and any ordering that makes these ten a particular collective.","layers":[{"id":"grouping-boundary","name":"Grouping boundary","description":"Explain why these members are included in the candidate whole.","findings":[{"id":"specified-ten","name":"Specified ten","description":"A proposed instance needs an explicit selection, enumeration or membership rule identifying the relevant ten.","questions":[{"text":"What rule or act of selection brings these ten members into one group?","id":"specified-ten-q01","kind":"definition"},{"text":"Which nearby or related items are excluded, and by what rule?","id":"specified-ten-q02","kind":"boundary"}]}]},{"id":"order-and-collective-identity","name":"Order and collective identity","description":"Distinguish a set of ten from a particular ten-position sequence.","findings":[{"id":"same-ten-different-arrangement","name":"Same ten, different arrangement","description":"The model should record whether permuting the ten members changes only presentation or changes the identity of the represented series.","questions":[{"text":"Does each member have a significant position in an ordered series of ten?","id":"same-ten-different-arrangement-q01","kind":"definition"},{"text":"Would reordering the same ten members produce a different instance under the adopted identity rule?","id":"same-ten-different-arrangement-q02","kind":"boundary"}]}]}]},{"id":"decad-verification-and-change","name":"Decad verification and change","description":"Assess evidence for ten-member status and determine how changes affect that status.","layers":[{"id":"evidence-for-ten","name":"Evidence for ten","description":"Separate the asserted total from a reproducible membership count.","findings":[{"id":"enumerated-versus-asserted-ten","name":"Enumerated versus asserted ten","description":"The proposed verification rule distinguishes an evidenced total of ten from a name, expected capacity or partial list.","questions":[{"text":"What inspected enumeration or observation supports the claim of ten members?","id":"enumerated-versus-asserted-ten-q01","kind":"provenance"},{"text":"Is the list complete, or could missing or unexamined members change the total?","id":"enumerated-versus-asserted-ten-q02","kind":"measurement"},{"text":"Should qualification remain unresolved because the evidence establishes only an intended count?","id":"enumerated-versus-asserted-ten-q03","kind":"action"}]}]},{"id":"changes-to-the-ten","name":"Changes to the ten","description":"Reassess count and collective identity after membership changes.","findings":[{"id":"count-preservation-and-replacement","name":"Count preservation and replacement","description":"Adding or removing a counted member changes numerical qualification; replacing one may preserve ten-member status while changing collective identity.","questions":[{"text":"After the proposed change, will exactly ten members still qualify under the same counting rule?","id":"count-preservation-and-replacement-q01","kind":"measurement"},{"text":"Does replacing a member preserve this group's identity or create a new ten-member collective?","id":"count-preservation-and-replacement-q02","kind":"boundary"},{"text":"Should the agent update qualification, record a successor collective or retain only a historical decad label?","id":"count-preservation-and-replacement-q03","kind":"action"}]}]}]},{"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.","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.","questions":[{"text":"Which of these check these first hold for the sense of decad this model covers, and on what evidence?","id":"evidence-confidence-notes-q01","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.","questions":[{"text":"Which of these real-world use hold for the sense of decad this model covers, and on what evidence?","id":"evidence-real-world-use-q01","kind":"provenance"}]},{"id":"evidence-measurements","name":"Typical measurements","description":"Recalled without web access and unsourced; every item is a lead to verify.","questions":[{"text":"Which of these typical measurements hold for the sense of decad this model covers, and on what evidence?","id":"evidence-measurements-q01","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.","questions":[{"text":"Which of these failure modes and hazards hold for the sense of decad this model covers, and on what evidence?","id":"evidence-failure-modes-and-hazards-q01","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.","questions":[{"text":"Which of these neighbouring kinds and how to tell them apart hold for the sense of decad this model covers, and on what evidence?","id":"evidence-neighbours-q01","kind":"provenance"}]}]}]}]},"agentConduct":{"may":["Explain the term and its use in Pythagorean thought from reliable sources.","Use the word decad correctly for a set of ten."],"mustNot":["Present numerological claims about the decad as scientific fact.","Attribute doctrines to Pythagoras or his followers without sources.","Confuse decad with decade when the meaning differs."],"requiresHuman":["Publishing interpretations of ancient philosophical texts as authoritative."]},"ethics":{"considerations":["Ancient ideas are easily distorted when quoted without sources.","Number mysticism can be sold to people as guidance it cannot give."],"affectedParties":["Students and readers","Scholars of ancient philosophy"]},"owners":{"steward":"Nobody owns it; it is a shared word and idea.","roles":[],"masterSystems":[]},"relations":[{"target":"Q4025884","type":"parent","note":"registry parent class"},{"target":"Q99527517","type":"parent","note":"registry parent class"}],"interaction":{"identity":{"applicability":"required","items":["Vercy registry: vr.tr.decad","Wikidata: Q2643280 (https://www.wikidata.org/wiki/Q2643280)"]},"properties":{"applicability":"not-applicable","items":["Counted unit: Entity, occurrence, position, subgroup or explicitly defined domain unit","Verified member count: Nonnegative integer in declared counted units; unknown when evidence is insufficient","Collection form: Unordered set, multiset or ordered series","Member equivalence rule: Same entity, same occurrence, same position or a documented domain equivalence","Membership boundary: Candidate whole linked to included members and an inclusion rule","Qualification state: Verified ten, verified non-ten, unresolved","Identity basis: Fixed membership, ordered membership or continuing group with replaceable members"]},"recognition":{"applicability":"not-applicable","items":[]},"capabilities":{"applicability":"required","items":["Enumerate proposed members and verify whether the count is exactly ten.","Resolve duplicates according to the declared member equivalence rule.","Compare two decads for equal count, shared members and collective identity.","Construct a ten-member grouping from eligible candidates under a stated selection rule.","Revalidate decad status after additions, removals, replacements or changes to the counting rule.","Route calendar, logarithmic and specialised uses of the name to their appropriate neighbouring models."]},"hazards":{"applicability":"required","items":["Duplicate or omitted members can invalidate the claimed count and propagate errors into records.","Ambiguous counting rules can cause people or agents to group different sets under the same label.","Confusing a decad with a period of ten years can produce incorrect interpretations of historical or descriptive text."]},"interfaces":{"applicability":"not-applicable","items":[]},"context":{"applicability":"required","items":["A decad is used when ten members or objects are treated as a single group under an explicit counting rule.","The term also appears in historical philosophy when discussing ten as a complete numerical whole.","In cataloguing or analysis, it requires a clear definition of membership and of what counts as one member."]}},"sources":[{"title":"Wikidata item Q2643280: decad","url":"https://www.wikidata.org/wiki/Q2643280","note":"identity and sense of the item"},{"title":"Wikipedia (de): Dekade (Einheit)","url":"https://de.wikipedia.org/wiki/Dekade_%28Einheit%29","note":"general description of the item"}],"openQuestions":["Does the originating registry record confirm the collective sense represented by Wikidata Q135236590, or intend a numerical or specialised sense?","Does an existing Vercy model already own ten-member collectives, requiring this registry entry to link to it?","Should registry-level decad membership permit repeated occurrences, or require ten distinct entities?","Which attested uses treat a decad as a continuing group with replaceable members rather than a fixed set or sequence?","How should historically named decads with disputed, lost or additional members be linked to the strict ten-member concept?"],"resources":{"spec":"/models/things/publications/thing-q2643280/spec.json"},"provenance":{"origin":"thing registry research (pass 2)","builtFrom":["models/things/publications/thing-q2643280/spec.json"],"providers":["Codex"],"researchStatus":"unreviewed","generatedAt":"2026-09-12T09:01:54Z","builder":"tools/build_cards.py@1.0.0"},"completeness":{"sections":{"classifiers":"filled","whatItIs":"filled","purpose":"filled","distinguishingFeatures":"filled","structure":"filled","agentConduct":"filled","ethics":"filled","owners":"filled","relations":"filled","interaction.identity":"filled","interaction.properties":"not-applicable","interaction.recognition":"not-applicable","interaction.capabilities":"filled","interaction.hazards":"filled","interaction.interfaces":"not-applicable","interaction.context":"filled","sources":"filled"},"notes":{"_gate":"Published through the thing publication gate 1.0 on 2026-10-08T19:09:52+00:00: completeness 1.00; sense: Wikidata description; 2 live sources; review by codex: pass","interaction.properties":"Plane XCT: no invented physical properties.","interaction.interfaces":"The general concept of a group of ten has no dedicated applicable standard, law or official classification.","interaction.recognition":"A decad is an abstract grouping whose membership requires counting rather than distinctive visual features."},"score":1.0}}