Brunet T D P
Department of History and Philosophy of Science, University of Cambridge, Free School Lane, Cambridge, CB2 3RH UK.
Synthese. 2021;199(3-4):10885-10908. doi: 10.1007/s11229-021-03272-8. Epub 2021 Jul 22.
The counterfactual and regularity theories are universal accounts of causation. I argue that these should be generalized to produce accounts of causation. A hallmark of universal accounts of causation is the assumption that apparent variation in causation between locations must be explained by differences in background causal conditions, by features of the causal-nexus or causing-complex. The local account of causation presented here rejects this assumption, allowing for genuine variation in causation to be explained by differences in location. I argue that local accounts of causation are plausible, and have pragmatic, empirical and theoretical advantages over universal accounts. I then report on the use of presheaves as models of local causation. The use of presheaves as models of local variation has precedents in algebraic geometry, category theory and physics; they are here used as models of local causal variation. The paper presents this idea as stemming from an approach using presheaves as models of local truth. Finally, I argue that a proper balance between universal and local causation can be assuaged by moving from presheaves to fully-fledged sheaf models.
反事实理论和规律性理论是对因果关系的通用解释。我认为应该对这些理论进行推广,以产生因果关系的解释。因果关系通用解释的一个标志是这样一种假设,即不同地点之间因果关系的明显差异必须通过背景因果条件的差异、因果关系或因果复合体的特征来解释。这里提出的因果关系的局部解释拒绝了这一假设,允许通过地点差异来解释因果关系的真正变化。我认为因果关系的局部解释是合理的,并且与通用解释相比具有实用、经验和理论上的优势。然后我报告了使用预层作为局部因果关系模型的情况。将预层用作局部变化模型在代数几何、范畴论和物理学中已有先例;这里它们被用作局部因果变化的模型。本文提出这一想法源于一种将预层用作局部真值模型的方法。最后,我认为通过从预层转向成熟的层模型,可以在通用因果关系和局部因果关系之间实现适当的平衡。