{
  "schemaVersion": "1.0",
  "discourse": {
    "id": "aristotle-syllogistic",
    "name": "Aristotle Syllogistic Logic",
    "subject": "logic",
    "variant": "classical",
    "description": "Aristotelian categorical syllogistic. Four perfect syllogisms (Barbara, Celarent, Darii, Ferio), three conversion rules, and ten imperfect syllogisms reduced to the perfect ones. Based on Prior Analytics.",
    "structure": {
      "axioms": 7,
      "definitions": 2,
      "theorems": 10
    }
  },
  "metadata": {
    "created": "2026-03-15",
    "lastUpdated": "2026-03-15",
    "version": "1.0.0",
    "license": "CC BY 4.0",
    "authors": [
      "Welz, G."
    ],
    "methodology": "Programming Framework",
    "citation": "Welz, G. (2026). Aristotle Syllogistic Dependency Graph. Programming Framework.",
    "keywords": [
      "Aristotle",
      "syllogism",
      "categorical logic",
      "Prior Analytics",
      "Barbara",
      "Celarent"
    ]
  },
  "sources": [
    {
      "id": "aristotle",
      "type": "primary",
      "authors": "Aristotle",
      "title": "Prior Analytics",
      "year": "c. 350 BCE",
      "notes": "Syllogistic theory"
    },
    {
      "id": "stanford",
      "type": "secondary",
      "authors": "Smith, R.",
      "title": "Aristotle's Logic",
      "url": "https://plato.stanford.edu/entries/aristotle-logic/",
      "notes": "Stanford Encyclopedia"
    }
  ],
  "nodes": [
    {
      "id": "DefAEIO",
      "type": "definition",
      "label": "A, E, I, O: All/No/Some/Some-not",
      "shortLabel": "DefAEIO",
      "short": "Categorical forms",
      "colorClass": "definition"
    },
    {
      "id": "DefFig",
      "type": "definition",
      "label": "Three figures: middle term position",
      "shortLabel": "DefFig",
      "short": "Figures 1,2,3",
      "colorClass": "definition"
    },
    {
      "id": "Econv",
      "type": "axiom",
      "label": "Eab implies Eba (No M is P implies No P is M)",
      "shortLabel": "Econv",
      "short": "E-conversion",
      "colorClass": "axiom"
    },
    {
      "id": "Iconv",
      "type": "axiom",
      "label": "Iab implies Iba (Some M is P implies Some P is M)",
      "shortLabel": "Iconv",
      "short": "I-conversion",
      "colorClass": "axiom"
    },
    {
      "id": "Aconv",
      "type": "axiom",
      "label": "Aab implies Iba (All M is P implies Some P is M)",
      "shortLabel": "Aconv",
      "short": "A-conversion",
      "colorClass": "axiom"
    },
    {
      "id": "Barbara",
      "type": "axiom",
      "label": "AAA-1: All M is P, All S is M therefore All S is P",
      "shortLabel": "Barbara",
      "short": "Barbara",
      "colorClass": "axiom"
    },
    {
      "id": "Celarent",
      "type": "axiom",
      "label": "EAE-1: No M is P, All S is M therefore No S is P",
      "shortLabel": "Celarent",
      "short": "Celarent",
      "colorClass": "axiom"
    },
    {
      "id": "Darii",
      "type": "axiom",
      "label": "AII-1: All M is P, Some S is M therefore Some S is P",
      "shortLabel": "Darii",
      "short": "Darii",
      "colorClass": "axiom"
    },
    {
      "id": "Ferio",
      "type": "axiom",
      "label": "EIO-1: No M is P, Some S is M therefore Some S is not P",
      "shortLabel": "Ferio",
      "short": "Ferio",
      "colorClass": "axiom"
    },
    {
      "id": "Cesare",
      "type": "theorem",
      "label": "EAE-2: No P is M, All S is M therefore No S is P",
      "shortLabel": "Cesare",
      "short": "Cesare",
      "colorClass": "theorem"
    },
    {
      "id": "Camestres",
      "type": "theorem",
      "label": "AEE-2: All P is M, No S is M therefore No S is P",
      "shortLabel": "Camestres",
      "short": "Camestres",
      "colorClass": "theorem"
    },
    {
      "id": "Festino",
      "type": "theorem",
      "label": "EIO-2: No P is M, Some S is M therefore Some S is not P",
      "shortLabel": "Festino",
      "short": "Festino",
      "colorClass": "theorem"
    },
    {
      "id": "Baroco",
      "type": "theorem",
      "label": "AOO-2: All P is M, Some S is not M therefore Some S is not P",
      "shortLabel": "Baroco",
      "short": "Baroco",
      "colorClass": "theorem"
    },
    {
      "id": "Darapti",
      "type": "theorem",
      "label": "AAI-3: All M is P, All M is S therefore Some S is P",
      "shortLabel": "Darapti",
      "short": "Darapti",
      "colorClass": "theorem"
    },
    {
      "id": "Felapton",
      "type": "theorem",
      "label": "EAO-3: No M is P, All M is S therefore Some S is not P",
      "shortLabel": "Felapton",
      "short": "Felapton",
      "colorClass": "theorem"
    },
    {
      "id": "Disamis",
      "type": "theorem",
      "label": "IAI-3: Some M is P, All M is S therefore Some S is P",
      "shortLabel": "Disamis",
      "short": "Disamis",
      "colorClass": "theorem"
    },
    {
      "id": "Datisi",
      "type": "theorem",
      "label": "AII-3: All M is P, Some M is S therefore Some S is P",
      "shortLabel": "Datisi",
      "short": "Datisi",
      "colorClass": "theorem"
    },
    {
      "id": "Bocardo",
      "type": "theorem",
      "label": "OAO-3: Some M is not P, All M is S therefore Some S is not P",
      "shortLabel": "Bocardo",
      "short": "Bocardo",
      "colorClass": "theorem"
    },
    {
      "id": "Ferison",
      "type": "theorem",
      "label": "EIO-3: No M is P, Some M is S therefore Some S is not P",
      "shortLabel": "Ferison",
      "short": "Ferison",
      "colorClass": "theorem"
    }
  ],
  "edges": [
    {
      "from": "DefAEIO",
      "to": "Barbara"
    },
    {
      "from": "DefFig",
      "to": "Barbara"
    },
    {
      "from": "DefAEIO",
      "to": "Celarent"
    },
    {
      "from": "DefFig",
      "to": "Celarent"
    },
    {
      "from": "DefAEIO",
      "to": "Darii"
    },
    {
      "from": "DefFig",
      "to": "Darii"
    },
    {
      "from": "DefAEIO",
      "to": "Ferio"
    },
    {
      "from": "DefFig",
      "to": "Ferio"
    },
    {
      "from": "Econv",
      "to": "Cesare"
    },
    {
      "from": "Celarent",
      "to": "Cesare"
    },
    {
      "from": "Econv",
      "to": "Camestres"
    },
    {
      "from": "Celarent",
      "to": "Camestres"
    },
    {
      "from": "Econv",
      "to": "Festino"
    },
    {
      "from": "Ferio",
      "to": "Festino"
    },
    {
      "from": "Barbara",
      "to": "Baroco"
    },
    {
      "from": "Aconv",
      "to": "Darapti"
    },
    {
      "from": "Darii",
      "to": "Darapti"
    },
    {
      "from": "Aconv",
      "to": "Felapton"
    },
    {
      "from": "Ferio",
      "to": "Felapton"
    },
    {
      "from": "Iconv",
      "to": "Disamis"
    },
    {
      "from": "Darii",
      "to": "Disamis"
    },
    {
      "from": "Aconv",
      "to": "Datisi"
    },
    {
      "from": "Darii",
      "to": "Datisi"
    },
    {
      "from": "Barbara",
      "to": "Bocardo"
    },
    {
      "from": "Aconv",
      "to": "Ferison"
    },
    {
      "from": "Ferio",
      "to": "Ferison"
    }
  ],
  "colorScheme": {
    "axiom": {
      "fill": "#e74c3c",
      "stroke": "#c0392b"
    },
    "definition": {
      "fill": "#3498db",
      "stroke": "#2980b9"
    },
    "theorem": {
      "fill": "#1abc9c",
      "stroke": "#16a085"
    }
  }
}