It's not the set of possibilities at each moment that marks consciousness but the measure imposed on this set, that is a structure imposed on the set of subsets o possibilities, a structure which arises in relations of correspondence to other structures etc. There is something both suggestive and futile about attempting to find the origin of consciousness in mathematics. In mapping metamathematics inside mathematics or in playing on the duality of measure and degree of belief all you are doing is finding more and more subtle ways of begging the question.