Since the event algebra \(\EC_c\) contains \(P\) along with \([+]\) and \([-]\), in this framework the truth of \(P\) implies that the oscillator is either in the state \([+]\) or the state \([-]\). But neither of these are energy eigenstates, and these projectors do not commute with \([0]\) and \([1]\); the relationship is formally the same as that between eigenstates of \(S_x\) and those of \(S_z\) for a spin-half particle, subsection 2.3. Consequently, if results using frameworks \(\EC_b\) and \(\EC_c\) are carelessly combined, it is possible to infer for the oscillator something quite analogous to the meaningless assertions combining properties of \(S_x\) and \(S_z\). Hence the importance of the single framework rule which prohibits combining \(\EC_b\) and \(\EC_c\) (equivalently, \(\SC_b\) and \(\SC_c\)).