 There still remains the task of developing a systematic account to guide one’s judgments of evidential symmetry (or insufficient reason) before those judgments are passed as inputs to the Indifference Principle. An important source of inspiration has been the symmetry in the Six-Faced Die Case: it is a kind of physical symmetry due to the cubic shape of the die; it is also a kind of permutation symmetry because nothing essential changes when the six faces of the die are relabeled. Those two aspects of the symmetry—physical and permutational—are extended by two influential approaches to the Indifference Principle, respectively, which are presented in turn below.