{
    "patternOperations": [
        "detection",
        "classification",
        "explanation",
        "prediction",
        "generation"
    ],
    "invariants": {
        "generative": [
            "objects",
            "relations",
            "transformations",
            "constraints",
            "emergence"
        ],
        "systemic": [
            "entity",
            "relation",
            "state",
            "transformation",
            "constraint",
            "information",
            "feedback",
            "emergence"
        ]
    },
    "foundations": {
        "sequence": [
            "logic-set-theory-axioms",
            "structure",
            "change",
            "relationships",
            "possibility",
            "application"
        ],
        "layers": {
            "structure": [
                "algebra",
                "geometry"
            ],
            "change": [
                "analysis",
                "dynamics"
            ],
            "relationships": [
                "category-theory",
                "information-theory"
            ],
            "possibility": [
                "probability",
                "computation",
                "complexity"
            ]
        }
    }
}