 but to grasp this as a general principle we need to know how to interpret the notation \((\Omega^n)^m\). In more conventional mathematics, one might simply define \((x^n)^m\) as \(x^{n\times m}\) but clearly this (or rather the equivalent for the interaction of exponents of operators) would introduce a circularity into Wittgenstein’s account. Alternatively one could appeal to a recursive theory of exponents – \(a^{m\times 0}= a, a^{m\times(n+1)} = a^m + a^{m\times n}\). Since the principle of induction needed to show that the recursion is coherent features nowhere in Wittgenstein’s system, these rules would presumably have to be taken as primitive. 