In the normal game, after a while, one may diddle or even solve the cube without learning anything new. In the inductive game, all attempts at solution, even unsuccessful ones, add to one's bank of inductive experience. For mastery of the inductive game one must rely on inductive knowledge of the probability that certain configurations could have survived x twists. That sort of knowledge increases with every spin through the cube, in subtle and barely articulable ways. Fourth, the inductive game cannot become routine or boring, except to gods.
Difficulty increases exponentially.
There is a foreseeable end to the series, of course. Players who patiently gather up their nuanced, ineffable knowledge of random patterns may reach the level of 23-twist randomizations. For convenience I will use the following terms in these special senses. Twist One 90-degree turn of one plane. Note that under this definition 180-degree turns amount to two twists.