%0 Generic
%A Vigo, Professor Ronaldo
%D 2011
%F cogprints:7961
%I Elsevier
%K Representational Information, Concepts, Invariance, Complexity, Information measure, Subjective information
%P 4847-4859
%T Representational information: a new general notion and measure of information
%U http://cogprints.org/7961/
%V 181
%X In what follows, we introduce the notion of representational information (information conveyed by sets of dimensionally deﬁned objects about their superset of origin) as well as an original deterministic mathematical framework for its analysis and measurement. The framework, based in part on categorical invariance theory [Vigo, 2009], uniﬁes three key constructsof universal science – invariance, complexity, and information. From this uniﬁcation we deﬁne the amount of information that a well-deﬁned set of objects R carries about its ﬁnite superset of origin S, as the rate of change in the structural complexity of S (as determined by its degree of categorical invariance), whenever the objects in R are removed from the set S. The measure captures deterministically the signiﬁcant role that context and category structure play in determining the relative quantity and quality of subjective information conveyed by particular objects in multi-object stimuli.