confined to a single fixed threshold. Rather, one small body may undergo transformation while it still has a size that permits some further division, whereas another does not undergo transformation until it becomes smaller than the first.

In short, none of these bodies admits of division without end; this occurs only in magnitudes conceived in the mind. To assert the existence of something infinite between two finite limits, whether actually or potentially, is to defy reason. Likewise, to assert the existence of an entity in which one side cannot be distinguished from another is to defy reason. Rather, bodies undergo transformation while still admitting of division, so none admits of division without end. Similarly, as bodies increase in number and size, they reach a limit at which they stop; they do not extend into infinite dimensions.

Yet this well-known group of speculative theologians has based its affirmation of the Creator and the Resurrection on what they designate by the imposing name “the indivisible part.” Upon examination, however, it is something that, by their own agreement, no one can apprehend through the senses; and according to discerning scholars, it cannot be touched. How closely it resembles the known infallible one invented by the Qarmatians