<p>David Lewis accepts two principles: (i) the necessity of plenitude, which says that facts about the space of possible worlds are necessary, and (ii) the Humean thesis, which denies necessary connections between distinct existences. Roca-Royes (<i>Synthese 197</i>, 2020) has argued that there is a conflict between the necessity of plenitude and the Humean thesis. The goal of this paper is to show that there is no such conflict. I will unpack Roca-Royes’s argument first. After that, I will show that once we give the necessity of plenitude and the Humean thesis their correct interpretation, Roca-Royes’s suggested conflict goes away.</p>

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Plenitude and the Humean thesis

  • Yucheng Li

摘要

David Lewis accepts two principles: (i) the necessity of plenitude, which says that facts about the space of possible worlds are necessary, and (ii) the Humean thesis, which denies necessary connections between distinct existences. Roca-Royes (Synthese 197, 2020) has argued that there is a conflict between the necessity of plenitude and the Humean thesis. The goal of this paper is to show that there is no such conflict. I will unpack Roca-Royes’s argument first. After that, I will show that once we give the necessity of plenitude and the Humean thesis their correct interpretation, Roca-Royes’s suggested conflict goes away.