three fundamental postulates. However, it has been suggested that it may be possible to reformulate the third postulate into a weaker statement, or possibly even do away with it altogether. The derivation of RQM parallels, to a large extent, quantum logic. The first two postulates are motivated entirely by experimental results, while the third postulate, although it accords perfectly with what we have discovered experimentally, is introduced as a means of recovering the full Hilbert space formalism of quantum mechanics from the other two postulates. The two empirical postulates are: Postulate 1: there is a maximum amount of relevant information that may be obtained from a quantum system. Postulate 2: it is always possible to obtain new information from a system. We let denote the set of all possible questions that may be "asked" of a quantum system, which we shall denote by , . We may experimentally find certain relations between these questions: , corresponding to {intersection, orthogonal sum, orthogonal complement, inclusion, and orthogonality} respectively, where . Structure From the first postulate, it follows that we may choose a subset of mutually independent questions, where is the number of bits contained in the maximum amount of information. We call such a question a complete question. The value of can be expressed as an N-tuple sequence of binary valued numerals, which has possible permutations of "0" and "1" values. There will also be more than one possible complete question. If we further assume that the relations are defined for all , then is an orthomodular lattice, while all the possible unions of sets of complete questions form a Boolean algebra with the as atoms. The second postulate governs the event of further questions being asked by an observer of a system , when already has a full complement of information on the system (an answer to a complete question). We denote by the probability that a "yes" answer to a question will follow the complete question . If is independent of , then , or it might be fully determined by , in which case . There is also a range of intermediate possibilities, and this case is examined below. If the question that wants to ask the system is another complete question, , the probability of a "yes" answer has certain constraints upon it: 1. 2. 3. The three constraints above are inspired by the most basic of properties