  The present paper shows how one might model Everettian quantum mechanics
using hyperfinitely many worlds. A hyperfinite model allows one to consider
idealized measurements of observables with continuous-valued spectra where
different outcomes are associated with possibly infinitesimal probabilities.
One can also prove hyperfinite formulations of Everett's limiting
relative-frequency and randomness properties, theorems he considered central to
his formulation of quantum mechanics. This approach also provides a more
general framework in which to consider no-collapse formulations of quantum
mechanics more generally.
