“…1 MERGE serves a similar role to an elementary function, as in the theory of computability (e.g., the zero function, the identity function), in that it is meant to be non-decomposable. Putting many subsidiary technical details aside, these sets are then ‘labeled’ and given a syntactic identity, or a ‘head’ (Frampton & Gutmann, 1999 ; Leivada et al, 2023 ; Murphy et al, 2022 , 2023 ; Murphy, 2015a , b , c , 2023a ; Woolnough et al, 2023 ), based on which element is most structurally prominent and easiest to search for (i.e., Z in the structure {Z, {X, Y}}). 2 Labeling takes place when conceptual systems access the structures generated by syntax.…”