The Church-Turing thesis comes to mind. It would at least suggest that humans aren’t capable of doing anything computationally beyond what can be instantiated in software and hardware.

But sure, instantiating these capabilities in hardware and software are beyond our current abilities. It seems likely that it is possible though, even if we don’t know how to do it yet.

The church turing thesis is about following well-defined rules. It is not about the system that creates or decides to follow or not follow such rules. Such a system (the human mind) must exist for rules to be followed, yet that system must be outside mere rule-following since it embodies a function which does not exist in rule-following itself, e.g., the faculty of deciding what rules are to be followed.