激进本体结构实在论没有范畴支持
No categorial support for radical ontic structural realism
摘要：
激进本体结构实在论（ROSR）主张一种本体论的承诺，即只根据基本关系来理解“独立的”物理结构，而不求助于站在这些关系中的关系。Bain（2011）最近为ROSR辩护，反对人们对它的不一致性的普遍指责，他认为用范畴论术语（而不是通常的集合论术语）重新表述基本物理理论，提供了对ROSR所接受的承诺的连贯和精确的表达。在这篇文章中，我们认为，范畴理论并没有提供一个更友好的环境，ROSR比集合论。我们还表明，拓扑量子场论和代数概括的广义相对论的应用范畴理论的工具不保证声称，这些理论描述的“对象自由”的结构。我们的结论是，范畴理论提供了一点安慰ROSR。
英文摘要：
Radical ontic structural realism (ROSR) asserts an ontological commitment to 'free-standing' physical structures understood solely in terms of fundamental relations, without any recourse to relata which stand in these relations. Bain (2011) has recently defended ROSR against the common charge of incoherence by arguing that a reformulation of fundamental physical theories in category-theoretic terms (rather than the usual set-theoretic ones) offers a coherent and precise articulation of the commitments accepted by ROSR. In this essay, we argue that category theory does not offer a more hospitable environment to ROSR than set theory. We also show that the application of category-theoretic tools to topological quantum field theory and to algebraic generalisations of general relativity do not warrant the claim that these theories describe 'object-free' structures. We conclude that category theory offers little if any comfort to ROSR.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
