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Yes, it’s all three-ness, and remember: 3*3=27
Mediate on the number ‘27’ in your mind, is there not something perfect about this number - is it not a beautiful number?
Numerology aside, Peirce was on to something. Indeed there are three core ontological primatives or categories, but I think they are somewhat different to what Peirce thought- his are too vague and poorly developed. Here are my 3 modern ones:
Identity: Internal properties of things - properties which define the structure or raw materials comprising a stable object.
Function: Functional properties - similar to Use Cases in UML, externally observable effects.
Interface: Representational properties - properties interpreted as signals and symbols
Basically, everything in a given domain can be initially classified as either Identity, Function or Interface (your ‘synergy’ is not a fourth category, it falls under Interface).