Mereological Nihilism and Material Constitution

Mereological nihilists typically employ a paraphrase strategy in order to mitigate the apparent absurdity of their denial of the existence of composite objects. I argue here that the nihilist's paraphrase strategy is incomplete, because no schema for generating nihilistically acceptable paraphrases of sentences concerning material constitution has ever been given. Nor can an adequate schema be arrived at by generalising things that nihilists have already said. I fill this lacuna in the nihilist's account by developing and defending a novel paraphrase schema that makes essential reference to the determinable‐determinate relation that holds between arrangement‐properties instantiated by the simples.