We propose that pluralization of bare nouns in Western Armenian and Turkish is a two-step process. First, the noun is atomized giving a singular form (this is achieved via a null exponent of number under Num) and a new noun is created providing a brand new semi-lattice to serve as the underlying semantic domain. Second, the higher NumP operates morphosyntactically on the singular, and returns a set of atoms from the semi-lattice introduced by the higher n. This is a case of morphological compositionality where one number is built out of another. Our proposal gives a satisfying solution to the puzzle of how “indeterminate nouns” in these languages can express singularity and plurality, depending on the context.