 ‘Extensionalists’ who assert that “\(\varepsilon(0).\varepsilon(1).\varepsilon(2)\) and so on” is an infinite logical product (PG 452) assume or assert that finite and infinite conjunctions are close cousins—that the fact that we cannot write down or enumerate all of the conjuncts ‘contained’ in an infinite conjunction is only a “human weakness”, for God could surely do so and God could surely survey such a conjunction in a single glance and determine its truth-value. According to Wittgenstein, however, this is not a matter of human limitation. Because we mistakenly think that “an infinite conjunction” is similar to “an enormous conjunction”, we erroneously reason that just as we cannot determine the truth-value of an enormous conjunction because we don’t have enough time, we similarly cannot, due to human limitations, determine the truth-value of an infinite conjunction (or disjunction). But the difference here is not one of degree but of kind: “in the sense in which it is impossible to check an infinite number of propositions it is also impossible to try to do so” (PG 452). This applies, according to Wittgenstein, to human beings, but more importantly, it applies also to God (i.e., an omniscient being), for even God cannot write down or survey infinitely many propositions because for him too the series is never-ending or limitless and hence the ‘task’ is not a genuine task because it cannot, in principle, be done (i.e., “infinitely many” is not a number word). As Wittgenstein says at (PR 128; cf. PG 479): “‘Can God know all the places of the expansion of \(\pi\)?’ would have been a good question for the schoolmen to ask”, for the question is strictly ‘senseless’. As we shall shortly see, on Wittgenstein’s account, “[a] statement about all numbers is not represented by means of a proposition, but by means of induction” (WVC 82).