An important part of the influential Humean doctrine in philosophy is the supervenience principle (sometimes referred to as the principle of separability). This principle asserts that the complete state of the world supervenes on the intrinsic properties of its most fundamental components and their spatiotemporal relations (the so-called Humean mosaic). There are well-known arguments in the literature purporting to show that in quantum mechanics the Humean supervenience principle is violated, due to the existence of entangled states. Recently, however, arguments have been presented to the effect that the supervenience principle can be defended in Bohmian mechanics. The key element of this strategy lies in the observation that according to Bohmian mechanics the fundamental facts about particles are facts about their spatial locations, and moreover, for any proper subsystem of the world its state may non-trivially depend on the spatial configuration of the rest of the universe. Thus quantum-mechanical states of subsystems do not represent their intrinsic properties but rather characterize their relations with the environment. In this paper we point out the worry that this Bohmian strategy --known as Bohumianism-- saves the letter but not the spirit of the Humean doctrine of supervenience, since it prima facie violates another seemingly important Humean principle, which we call Strong Supervenience and whose denial implies the existence of necessary connections among distinct individuals. We argue that the best defense for Bohumians is to question the fundamental existence of complex physical systems and their states by treating any reference to them as a convenient description of the underlying collection of Bohmian particles. We consider several pros and cons of this strategy.

中文翻译：

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波休米亚主义是多么的休谟？

哲学中影响深远的休谟主义学说的一个重要部分是随附性原则（有时称为可分离性原则）。这一原则断言，世界的完整状态取决于其最基本组成部分的内在属性及其时空关系（所谓的休谟马赛克）。文献中有一些众所周知的论点声称在量子力学中，由于纠缠态的存在，休谟随附原理被违反了。然而，最近有人提出了可以在玻姆力学中捍卫随附性原理的论点。这种策略的关键要素在于观察到，根据波姆力学，关于粒子的基本事实是关于它们的空间位置的事实，而且，对于世界上任何适当的子系统，其状态可能非常依赖于宇宙其余部分的空间配置。因此，子系统的量子力学状态并不代表它们的内在特性，而是表征它们与环境的关系。在本文中，我们指出这种波姆式策略——被称为 Bohumianism——保存了休谟的随附学说的字面而非精神，因为它表面上违反了另一个看似重要的休谟原则，我们称之为“强随附”和其否认意味着不同个体之间存在必要的联系。我们认为，对 Bohumian 的最佳防御是质疑复杂物理系统及其状态的基本存在，将任何对它们的引用视为对 Bohmian 粒子的潜在集合的方便描述。我们考虑了这种策略的几个优点和缺点。