 Another problem for the BDMI and SDMI interpretations relates to degeneracy. When the final state of the composite system (measured system plus measuring device) is very nearly degenerate when written in the basis given by the measured observable and the apparatus’ pointer (that is, when the probabilities for the various results are almost equal), the spectral decomposition need not, in general, select definite-valued properties that are close to those ideally expected. In fact, the observables so selected may be incompatible (non-commuting) with the observables that we expect on the basis of observation (Bacciagaluppi and Hemmo 1994, 1996).