Daniel Kostić (Radboud University, The Netherlands).
“Topological Explanations, an Opinionated Appraisal.” In Lawler, I., Shech, E. and Khalifa, K. (eds): Scientific Understanding and Representation: Mathematical Modeling in the Life and Physical Sciences, Routledge.
Abstract:
In this chapter I provide a systematic overview of topological explanations in the philosophy of science literature. I do so by presenting an account of topological explanation that I have developed in other publications and then comparing this account to other accounts of topological explanation. Finally, this appraisal is opinionated because it highlights some problems in alternative accounts of topological explanations, and also it outlines responses to some of the main criticisms raised by the so-called new mechanists.
Daniel Kostić (Radboud University, The Netherlands) and Kareem Khalifa (Middlebury College, USA.).
"The directionality of topological explanations”. Synthese.
Abstract:
Proponents of ontic conceptions of explanation require all explanations to be backed by causal, constitutive, or similar relations. Among their justifications is that only ontic conceptions can do justice to the ‘directionality’ of explanation, i.e., the requirement that if X explains Y, then not-Y does not explain not-X. Using topological explanations as an illustration, we argue that non-ontic conceptions of explanation have ample resources for securing the directionality of explanations. The different ways in which neuroscientists rely on multiplexes involving both functional and anatomical connectivity in their topological explanations vividly illustrate why ontic considerations are frequently (if not always) irrelevant to explanatory directionality. Therefore, directionality poses no problem to non-ontic conceptions of explanation.
Twitter handle: @DanielKostic