Fusions in Intuitionistic Mereology

Abstract

This paper investigates two intuitionistic mereological systems based on Tarski’s axiomatisation of general mereology. These systems use two intuitionistically non-equivalent formalisations of the notion of fusion. I study extensionality and supplementation properties as well as some variants of these systems, and defend parthood as a suitable primitive notion for intuitionistic mereology if working with Tarski’s axiomatisation. Furthermore, I arrive at an equi-interpretability result for one of the atomistic variants with intuitionistic plural logic. I discuss to what extent these results support the philosophical pertinence of the mereological systems under investigation as intuitionistic theories of parthood, thereby reacting to a conceptual challenge that we are confronted with when engaging in intuitionistic mereology.