Codify? Impressive. So you have read on the subject of knowledge.I respectfully disagree.
I view the connection between what is colloquially understood to be logic and the socionics definition of introverted logic to be, not just tenuis, but completely nonexistent. To me such a comparison is akin to the comparison between colloquial introversion and socionics introversion. The two don't look the same, they don't function the same, and they do not deal with or codify the same information.
Theoretical framework is an oxymoron. Rules restrict, logic doesn't. If I had to lump 'rules' somewhere I'd put it under Se.A definition of socionics introverted logic that is substantially more suitable could be 'rules' rather than 'colloquial logic' or 'formal logic'. However using a term like 'rules' betrays my own bias. Accounting for my own prejudice the most accurate term I could use to describe introverted logic would be 'theoretical framework'. Think of introverted logic as the walls to a house. Yes those walls restrict movement, technically a room with a door dictates where you may or may not enter that room. At the same time walls also support the house which, in this metaphor, may represent higher thought or intellectual understanding.
Mathematics is not pure logic, nor is performance art. Bad examples.In light of this more accurate interpretation it's worthwhile to note that colloquial logic is ripe with theoretical framework. However, so is any intellectual discipline: logic, mathematics, even performance art. Any discipline that has begun to build upon its understanding has theoretical framework that supports later made intellectual extrapolations. It's simply how constructing knowledge works. For example in formal logic logical systems must follow the rules of: consistency, validity, soundness, and completeness. Though there are exceptions, a notable one being Godel's incompleteness theorem. An example of rules that govern performance art are: pace, flow, and 'don't break the fourth wall'. Again there are exceptions, a good example of which would be the epic theatre movement by Brecht.
Colloquial logic is no of concern to me. Good post, but your biggest mistake is thinking that Ti logic (and btw, I'm only adding 'logic' because you would obviously miss the point if I didn't include it) is just about 'rules', did you really think I held that view?Essentially equating introverted logic to colloquial logic is something I view as a simplistic interpretation that drastically misses the point by misinterpreting both introverted and colloquial logic. The discipline of logic is more than simply formal logic, and not all parts of it function in the same way or for the same reasons. Introverted logic is more than being able to construct an 'if-then-else' statement. The theoretical framework that supports higher thought may be constructed by way of implementing formal logical boundaries for how thought works and how it should be communicated but, by no means is that the only building material available.