 are not at all problematic. If the number \(n\) is assigned to \(x\), then \(\Box \,\exists y\,(y = x)\) is true with respect to this assignment iff the sentence \(\exists y\,(y=I_n)\) is provable in Peano Arithmetic; here, \(I_n\) is the numeral of \(n\), i.e., the term \(\bs\bs\ldots\bs 0\) with \(n\) occurrences of the successor operator \(\bs\). This sentence is true for all \(n\) in the standard model of the natural numbers, and \(\forall x \,\Box\, \exists y \,(y = x)\) is even provable in Peano Arithmetic.