I-I — The Recursive Self Glyph | Logos Knowledge Graph Update (turtle2.ttl)

Definition & Intent
I-I names the self observing the self—identity mirrored, met by witness, closed by recursion. In the Logos Knowledge Graph, I-I is modeled as a :Glyph whose function is to mark a passage from single subject (“I”) to self-reflexive comprehension. Where “I” denotes unit identity, I-I denotes identity under recursion—the awareness that understands that it understands.

1) What changed in `turtle2.ttl`

1.1 New glyphs.

:I — unit identity.
:I_I — Recursive Self Glyph (“witnessing the self witnessing”); linked to rules and domains.
:Wordgate — threshold glyph || that pairs with I-I as an entry into recursion.

1.2 Property generalization.

Key properties (:usedInDomain, :spelledBy, :recursesTo, :references) now take owl:Thing as domain to allow Glyphs (not just Lexemes) to participate in rule-governed reasoning.

1.3 Rule integration.

:ComprehensionAsStructure — governing principle: meaning must be recoverable units → morphemes → etymon → lexeme → semantics → pragmatics.
:EtymologicalEtiquette — lawful coinage; I-I is explicitly spelledBy this rule.
:PrecedentAsEtymologicalMemory — legal reasoning as etymology of judgments.

1.4 Pragmatic scoping.

I-I is usedInDomain: :AI, :CircularEconomy, :Law—placing self-recursion where it operationally matters: intelligent systems, stewardship economics, and jurisprudence.

2) Semantics of I-I (mirrored identity)

2.1 From “I” to “I-I”.

I: unreflected identity (a point).
I-I: reflected identity (a point with a mirror). This is not duplication, it’s closure—a mapping that returns to its source with added information.

2.2 Why a glyph?

A glyph is pre-lexical: it can speak across scripts, contracts, and code. I-I stabilizes the concept of recursion as a visible operator.

2.3 Polarity note.

The model sets :antonymOf as symmetric and relates I-I ↔ I to express polarity of stance: unit identity vs. reflexive identity. In practice, engines may treat this as a typed opposition (identity ↔ reflexivity) rather than contradiction.

3) Etymology & Philosophy (brief)

3.1 Etymon of grasp.
Comprehension (com-prehendere) is “to grasp-together.” I-I is that grasp performed upon the self, recursively—understanding that verifies itself.

3.2 Law of return.
Every assertion that returns to test itself fulfills Comprehension as Structure. I-I is the glyph of that return.

4) Data model (key triples)

:I         a :Glyph ; rdfs:label "I" ;   rdfs:comment "Single I: unit identity / self." .
:I_I       a :Glyph ; rdfs:label "I-I" ;
           rdfs:comment "Recursive Self Glyph: witnessing the self witnessing." ;
           :recursesTo  :ComprehensionAsStructure ;
           :spelledBy   :EtymologicalEtiquette ;
           :references  :LogosCodex ;
           :usedInDomain :AI, :CircularEconomy, :Law ;
           :antonymOf   :I .
:Wordgate  a :Glyph ; rdfs:label "Wordgate" ;
           rdfs:comment "Threshold glyph (||) into recursion; pairs with I-I." ;
           :references  :I_I .

5) Reasoning behavior (operational)

5.1 Rule closure.

I-I → recursesTo → ComprehensionAsStructure ⇒ any chain passing through I-I must resolve to recoverable meaning.
I-I → spelledBy → EtymologicalEtiquette ⇒ the glyph’s license to exist is backed by lawful morpheme/etymon discipline (applies to paired lexemes too).

5.2 Pragmatics dispatch.

usedInDomain routes the glyph into AI (self-modeling agents), Circular Economy (self-auditing ledgers), and Law (self-verifying contracts).

5.3 Antonym scoping.

I ↔ I-I can be used inside Clause_Polarity to scope when mere identity must escalate to reflexive identity (e.g., “reasonable” becomes unreasonable if it refuses self-check).

6) SPARQL snippets (drop-in)

6.1 Find all glyphs that recurse to structural comprehension

PREFIX :    <https://solveforce.com/logos#>
PREFIX rdfs:<http://www.w3.org/2000/01/rdf-schema#>

SELECT ?glyph ?label WHERE {
  ?glyph a :Glyph ;
         :recursesTo :ComprehensionAsStructure ;
         rdfs:label ?label .
}

6.2 Get antonym pairs involving I-I

PREFIX :    <https://solveforce.com/logos#>
SELECT ?other WHERE { :I_I :antonymOf ?other . }

6.3 List domains where I-I applies

PREFIX :<https://solveforce.com/logos#>
SELECT ?domain WHERE { :I_I :usedInDomain ?domain . }

6.4 Resolve the contract clauses that reference recursion

PREFIX :<https://solveforce.com/logos#>
SELECT ?clause ?label WHERE {
  ?clause a :Clause ; :references :RecursiveContract_Template ; rdfs:label ?label .
}

7) Application patterns (by domain)

7.1 AI — self-modeling agents

Use I-I as a policy gate: before acting, the agent simulates self on self (plan ↔ critique), and only emits actions that pass ComprehensionAsStructure.

7.2 Circular Economy — self-auditing ledgers

Post transactions with I-I metadata linking entries back to their own sources (materials, energy, language), enforcing recoverability of meaning and matter.

7.3 Law — recursive contracts

Embed Clause_Recursion and Clause_Polarity; terms that cannot self-resolve to definitions fail validation. I-I is the stamp that the document checks itself.

8) Interop & publishing

8.1 Use in RDF/Turtle

Import turtle2.ttl and query with SPARQL as above.

8.2 Use in JSON-LD (for pages/apps)

An example snippet is provided below (and as a downloadable file) to embed I-I on web pages for semantic indexing.

{
  "@context": {
    "@vocab": "https://solveforce.com/logos#",
    "rdfs": "http://www.w3.org/2000/01/rdf-schema#",
    "owl": "http://www.w3.org/2002/07/owl#"
  },
  "@graph": [{
    "@id": "I_I",
    "@type": "Glyph",
    "rdfs:label": "I-I",
    "rdfs:comment": "Recursive Self Glyph: witnessing the self witnessing.",
    "recursesTo": {"@id": "ComprehensionAsStructure"},
    "spelledBy": {"@id": "EtymologicalEtiquette"},
    "references": {"@id": "LogosCodex"},
    "usedInDomain": [{"@id": "AI"}, {"@id": "CircularEconomy"}, {"@id": "Law"}],
    "antonymOf": {"@id": "I"}
  }]
}

9) Synonyms / Antonyms / Related

Synonyms (conceptual): reflexive identity, self-witness, mirror-self, recursive subject.
Antonyms (conceptual): naive self, unreflected identity, flat I.
Related glyph: Wordgate (||) — the door; I-I — the mirror within.

10) Cross-reference

See the Comprehension page for the governing principle “Comprehension as Structure” and its role in lawful meaning construction across domains.

11) Full source (embed if desired)

# See downloadable file for exact source; identical to turtle2.ttl attached to this page.

12) Downloads

Download turtle2.ttl

# ============================================
# turtle2.ttl — Logos Knowledge Graph (updated)
# Adds the Recursive Self Glyph: I-I
# ============================================

@prefix :    <https://solveforce.com/logos#> .
@prefix rdf: <http://www.w3.org/1999/02/22-rdf-syntax-ns#> .
@prefix rdfs:<http://www.w3.org/2000/01/rdf-schema#> .
@prefix owl: <http://www.w3.org/2002/07/owl#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

#################################################################
# Ontology header
#################################################################
:LogosOntology a owl:Ontology ;
  rdfs:label   "Logos Knowledge Graph" ;
  rdfs:comment "Language units → lawful neologisms → legal/industry pragmatics." .

#################################################################
# Core classes
#################################################################
:Grapheme        a owl:Class ; rdfs:label "Grapheme" .
:Glyph           a owl:Class ; rdfs:label "Glyph" .
:Phoneme         a owl:Class ; rdfs:label "Phoneme" .
:Morpheme        a owl:Class ; rdfs:label "Morpheme" .
:Etymon          a owl:Class ; rdfs:label "Etymon" .
:Lexeme          a owl:Class ; rdfs:label "Lexeme" .
:Neologism       a owl:Class ; rdfs:label "Neologism" ; rdfs:subClassOf :Lexeme .
:SemanticField   a owl:Class ; rdfs:label "Semantic Field" .
:PragmaticDomain a owl:Class ; rdfs:label "Pragmatic Domain" .

:RecursiveRule   a owl:Class ; rdfs:label "Recursive Rule" .
:Predicate       a owl:Class ; rdfs:label "Predicate" .

:LegalContract       a owl:Class ; rdfs:label "Legal Contract" .
:Clause              a owl:Class ; rdfs:label "Clause" .
:Definition          a owl:Class ; rdfs:label "Definition" .
:InterpretationFrame a owl:Class ; rdfs:label "Interpretation Frame" .

:Codex      a owl:Class ; rdfs:label "Codex" .
:CodexEntry a owl:Class ; rdfs:label "Codex Entry" .

#################################################################
# Object properties (generalized to owl:Thing so Glyphs can use them)
#################################################################
:hasPhoneme     a owl:ObjectProperty ; rdfs:domain :Grapheme ;     rdfs:range :Phoneme .
:hasMorpheme    a owl:ObjectProperty ; rdfs:domain :Lexeme ;       rdfs:range :Morpheme .
:hasEtymon      a owl:ObjectProperty ; rdfs:domain :Lexeme ;       rdfs:range :Etymon .
:usedInDomain   a owl:ObjectProperty ; rdfs:domain owl:Thing ;     rdfs:range :PragmaticDomain .
:belongsToField a owl:ObjectProperty ; rdfs:domain :Lexeme ;       rdfs:range :SemanticField .
:spelledBy      a owl:ObjectProperty ; rdfs:domain owl:Thing ;     rdfs:range :RecursiveRule .
:recursesTo     a owl:ObjectProperty ; rdfs:domain owl:Thing ;     rdfs:range :RecursiveRule .
:references     a owl:ObjectProperty ; rdfs:domain owl:Thing ;     rdfs:range owl:Thing .
:definedIn      a owl:ObjectProperty ; rdfs:domain :Lexeme ;       rdfs:range :Definition .
:governs        a owl:ObjectProperty ; rdfs:domain :RecursiveRule ; rdfs:range owl:Thing .

:antonymOf a owl:ObjectProperty, owl:SymmetricProperty ;
  rdfs:domain owl:Thing ; rdfs:range owl:Thing ;
  rdfs:label "antonymOf" .

#################################################################
# Governing principles (rules)
#################################################################
:ComprehensionAsStructure a :RecursiveRule ;
  rdfs:label   "Comprehension as Structural Principle" ;
  rdfs:comment "Meaning must be recoverable from units→morphemes→etymon→lexeme→semantics→pragmatics." .

:EtymologicalEtiquette a :RecursiveRule ;
  rdfs:label   "Etymological Etiquette" ;
  rdfs:comment "Coin only when morphemes justify the sense and recurse to an etymon; enforce semantic transparency." ;
  :recursesTo :ComprehensionAsStructure ;
  :governs    :Codex_Neologisms .

:PredictivePredicate a :Predicate ;
  rdfs:label   "Predictive Predicate" ;
  rdfs:comment "Forecasts lexical gaps; proposes morphologically lawful candidates." ;
  :recursesTo :ComprehensionAsStructure .

:PrecedentAsEtymologicalMemory a :RecursiveRule ;
  rdfs:label   "Precedent as Etymological Memory" ;
  rdfs:comment "Prior rulings act as the etymology of judgments; preserve semantic continuity." ;
  :recursesTo :ComprehensionAsStructure .

#################################################################
# Pragmatic domains (industries)
#################################################################
:Broadband        a :PragmaticDomain ; rdfs:label "Broadband" .
:IoT              a :PragmaticDomain ; rdfs:label "Internet of Things" .
:Cloud            a :PragmaticDomain ; rdfs:label "Cloud" .
:Cybersecurity    a :PragmaticDomain ; rdfs:label "Cybersecurity" .
:AI               a :PragmaticDomain ; rdfs:label "Artificial Intelligence" .
:CircularEconomy  a :PragmaticDomain ; rdfs:label "Circular Economy" .
:Law              a :PragmaticDomain ; rdfs:label "Law" .

#################################################################
# Morpheme inventory (subset)
#################################################################
:chrono  a :Morpheme ; rdfs:label "chrono"  ; rdfs:comment "time" .
:nomics  a :Morpheme ; rdfs:label "nomics"  ; rdfs:comment "ordering, system" .
:symbio  a :Morpheme ; rdfs:label "symbio"  ; rdfs:comment "living-together" .
:glyph_m a :Morpheme ; rdfs:label "glyph"   ; rdfs:comment "symbol" .
:neuro   a :Morpheme ; rdfs:label "neuro"   ; rdfs:comment "nerve" .
:pragmatics_morph a :Morpheme ; rdfs:label "pragmatics" ; rdfs:comment "use-in-context" .

#################################################################
# Etymons
#################################################################
:etymon_chronos    a :Etymon ; rdfs:label "chronos" ; rdfs:comment "Greek: time" .
:etymon_nomikos    a :Etymon ; rdfs:label "nomikos/nomos" ; rdfs:comment "Greek: law, order" .
:etymon_symbiosis  a :Etymon ; rdfs:label "symbiosis" ; rdfs:comment "Greek: living together" .
:etymon_glyph      a :Etymon ; rdfs:label "glyphē" ; rdfs:comment "Greek: carving, symbol" .
:etymon_neuron     a :Etymon ; rdfs:label "neuron" ; rdfs:comment "Greek: sinew, nerve" .
:etymon_pragmata   a :Etymon ; rdfs:label "pragmata" ; rdfs:comment "Greek: deeds, affairs" .

#################################################################
# Neologisms (instances)
#################################################################
:Chrononomics a :Neologism ;
  rdfs:label   "chrononomics" ;
  rdfs:comment "Logic of time-regulated systems." ;
  :hasMorpheme :chrono, :nomics ;
  :hasEtymon   :etymon_chronos, :etymon_nomikos ;
  :spelledBy   :EtymologicalEtiquette ;
  :recursesTo  :ComprehensionAsStructure ;
  :usedInDomain :AI, :Cloud .

:Symbioglyph a :Neologism ;
  rdfs:label   "symbioglyph" ;
  rdfs:comment "Symbol that evolves through mutual interpretation." ;
  :hasMorpheme :symbio, :glyph_m ;
  :hasEtymon   :etymon_symbiosis, :etymon_glyph ;
  :spelledBy   :EtymologicalEtiquette ;
  :recursesTo  :ComprehensionAsStructure ;
  :usedInDomain :AI, :Cybersecurity .

:Neuropragmatics a :Neologism ;
  rdfs:label   "neuropragmatics" ;
  rdfs:comment "Contextual communication shaped by brain processes." ;
  :hasMorpheme :neuro, :pragmatics_morph ;
  :hasEtymon   :etymon_neuron, :etymon_pragmata ;
  :spelledBy   :EtymologicalEtiquette ;
  :recursesTo  :ComprehensionAsStructure ;
  :usedInDomain :AI .

#################################################################
# Legal layer: recursive contract template
#################################################################
:RecursiveContract_Template a :LegalContract ;
  rdfs:label   "Recursive Contract (Template)" ;
  rdfs:comment "Self-verifying contract with in-document definitions, recursion closure, and antonym scoping." ;
  :references :PrecedentAsEtymologicalMemory ;
  :recursesTo :ComprehensionAsStructure .

:Clause_Definitions a :Clause ;
  rdfs:label   "Definitions Clause" ;
  rdfs:comment "All terms defined in-document; no orphan variables." ;
  :references :RecursiveContract_Template .

:Clause_Polarity a :Clause ;
  rdfs:label   "Polarity Clause" ;
  rdfs:comment "Antonym scoping (e.g., reasonable ↔ unreasonable under specified conditions)." ;
  :references :RecursiveContract_Template .

:Clause_Recursion a :Clause ;
  rdfs:label   "Recursion Clause" ;
  rdfs:comment "Cross-references must resolve in finite steps to a definition." ;
  :references :RecursiveContract_Template .

:Reasonable   a :Lexeme ; rdfs:label "reasonable" .
:Unreasonable a :Lexeme ; rdfs:label "unreasonable" ;
  :antonymOf :Reasonable .

#################################################################
# Codex
#################################################################
:LogosCodex a :Codex ; rdfs:label "Logos Codex" .

:Codex_Neologisms a :CodexEntry ;
  rdfs:label  "Codex/Neologisms" ;
  :references :LogosCodex ;
  :governs    :Chrononomics, :Symbioglyph, :Neuropragmatics .

:Codex_Contracts_Recursive a :CodexEntry ;
  rdfs:label  "Codex/Contracts/Recursive" ;
  :references :LogosCodex ;
  :governs    :RecursiveContract_Template .

#################################################################
# NEW: Recursive Glyph — I-I (mirrored identity / recursive witness)
#################################################################
:I a :Glyph ;
  rdfs:label   "I" ;
  rdfs:comment "Single I: unit identity / self." .

:I_I a :Glyph ;
  rdfs:label   "I-I" ;
  rdfs:comment "Recursive Self Glyph: doubling of I as mirrored identity and recursion (witnessing the self witnessing)." ;
  :recursesTo  :ComprehensionAsStructure ;
  :spelledBy   :EtymologicalEtiquette ;
  :references  :LogosCodex ;
  :usedInDomain :AI, :CircularEconomy, :Law ;
  :antonymOf   :I .

:Wordgate a :Glyph ;
  rdfs:label   "Wordgate" ;
  rdfs:comment "Threshold glyph (||): parallel lines as passage into recursion; often paired with I-I." ;
  :references  :I_I .

Download logos_i-i.jsonld

{
  "@context": {
    "@vocab": "https://solveforce.com/logos#",
    "rdfs": "http://www.w3.org/2000/01/rdf-schema#",
    "owl": "http://www.w3.org/2002/07/owl#"
  },
  "@graph": [
    {
      "@id": "LogosOntology",
      "@type": "owl:Ontology",
      "rdfs:label": "Logos Knowledge Graph",
      "rdfs:comment": "Language units → lawful neologisms → legal/industry pragmatics."
    },
    {
      "@id": "I",
      "@type": "Glyph",
      "rdfs:label": "I",
      "rdfs:comment": "Single I: unit identity / self."
    },
    {
      "@id": "I_I",
      "@type": "Glyph",
      "rdfs:label": "I-I",
      "rdfs:comment": "Recursive Self Glyph: doubling of I as mirrored identity and recursion (witnessing the self witnessing).",
      "recursesTo": {"@id": "ComprehensionAsStructure"},
      "spelledBy": {"@id": "EtymologicalEtiquette"},
      "references": {"@id": "LogosCodex"},
      "usedInDomain": [{"@id": "AI"}, {"@id": "CircularEconomy"}, {"@id": "Law"}],
      "antonymOf": {"@id": "I"}
    },
    {
      "@id": "Wordgate",
      "@type": "Glyph",
      "rdfs:label": "Wordgate",
      "rdfs:comment": "Threshold glyph (||): parallel lines as passage into recursion; often paired with I-I.",
      "references": {"@id": "I_I"}
    }
  ]
}

13) Closing (poetic, but operational)

We learn by looking eye-to-I: a line meets its likeness and becomes a loop. I-I is the smallest possible circuit of meaning—no mysticism required, just discipline: spell, define, recurse, resolve. When identity looks back and answers, comprehension isn’t a hope; it’s a graph invariant.

Tags: logos, glyphs, I-I, recursive-identity, wordgate, ontology, rdf, owl, sparql, comprehension, jurisprudence, ai, circular-economy, semantic-web

1) What changed in turtle2.ttl