Rationality has no axioms, just heuristics and rules for different environments. In other words, rationality is a solution to a problem (optimality of thinking and deciding) to reason within a domain, but because of the diversity of domains, it is not axiomatizable to a single specific set of axioms. I suppose best one can do given arbitrary domain, is to say: maybe try exploring.
Rationality has no axioms, just heuristics and rules for different environments. In other words, rationality is a solution to a problem (optimality of thinking and deciding) to reason within a domain, but because of the diversity of domains, it is not axiomatizable to a single specific set of axioms. I suppose best one can do given arbitrary domain, is to say: maybe try exploring.