Although the main measures, computational information gain, reinforcement and intensionality, are defined independently, they (alone or combined) make it possible to formalise or better comprehend several notions which have been traditionally treated in a rather ambiguous way: novelty, explicitness/implicitness, informativeness, surprise, interestingness, plausibility, confirmation, comprehensibility, ‘consilience’, utility and unquestionability.
Most of the measures are applied to different kinds of theories and
systems, from the appraisal of predictiveness, the representational optimality
and the axiomatic power of logical theories, software systems and
databases, to the justified evaluation of the intellectual abilities of
cognitive agents and human beings.