Underlying the Sleeping Beauty problem is an Necker-cube-like ambiguity or controversy about whether the denominator of the requested probability is the number

Underlying the Sleeping Beauty problem is an Necker-cube-like ambiguity or controversy about whether the denominator of the requested probability is the number of coin flips or the number of awakenings. Arguing about calculations or numbers is pointless until agreement has been reached on this point; correspondingly, once agreement has been reached on the event represented by the denominator, there will be no arguments about calculations because the result is straightforward to calculate.