The Mereological Basis of Truthmaker Semantics

This articles explores the mereological foundation of truthmaker semantics. Building upon Kit Fine's abstract theory of part in Fine [J Philos 107(11):559-589, 2010], we engage in an exploration of the mereological assumptions that determine the construction of truthmaker semantics. Our approach yields semantics for a diverse range of logics, including substructural logics such as the associative Lambek calculus, as well as the logics of analytic containment. Furthermore, we elucidate the philosophical implications that arise from this pioneering approach.