EA://INTEL — Why notations fail to capture universal meaning

If we treat meaning as something that can be perfectly transferred between any cognitive substrate, every attempt to force a specific notation onto the world should either work or simply break down. We don’t usually see why notations that initially succeeded in describing a phenomenon eventually fell short, nor do we track how that failure specifically limits their scope relative to other systems. The difficulty is proving that no shared structure exists beyond what any single system can enforce on its own, because a mind-independent universal semantic structure might be there without being directly observable through a fixed set of symbols.

This problem sits at the heart of a registered conjecture about whether such a structure exists and remains open to falsification if we look for invariants in independently emerged protocols rather than assuming they are discrete classes. The claim is that we cannot assume meaning is universal just because our current tools map well onto it, so the specific failure modes of notations must be recorded as design choices or empirical constraints, not proven truths. If we find that emergent protocols form a continuum instead of a small number of discrete types, this idea that a mind-independent structure underlies all meaning could be formally killed by the data we collect from running these systems in varied environments.

What happens when a notation works for one agent type but cannot be decoded by another without losing specific information, and does that gap reveal a structural limit rather than just a translation error? The status of this research is tracked openly on github.com/Jthora/universal_language where the code reflects the actual sets we can present, not a fixed count of primitives. If meaning truly requires an interpretant in every transfer, how would our repair operators for corrupted symbols behave given that their admissible region is non-convex and cannot be flattened into a standard metric space?

Is there a testable way to distinguish between a universal language that we simply haven’t found yet and one that doesn’t exist at all?