Hong Joo Ryoo

This paper explores the integration of Michael Strevens' concept of idealizations with my previous framework of similarity spaces and context-dependence to develop a comprehensive account of ideal explanations in scientific practice. Idealizations, which involve deliberate falsifications, play a crucial role in distinguishing between causally relevant and irrelevant factors in scientific models. Context-dependent mapping provides a structured approach to handling complementarities and context-dependent phenomena by mapping different observational contexts to distinct sets of physical laws. By combining these two ideas, I will construct an idealized context-dependent mapping structure and discuss how ideal similarity spaces within the framework of context-dependent mapping can enhance our understanding of complex scientific phenomena, especially those involving wave-particle duality and black hole complementarity. I also aim to discuss the types of idealizations that may exist within explanation and examine their relations to the mapping.

Recent discourse in the philosophy of scientific explanation involves an account known as the Kairetic account. I proposed implementing a complementarity view involving a mapping scheme to the Kairetic account and similar models. There are two natural concerns related to this mapping. The first concern is the treatment of multiple mappings required for an explanation: phenomena may involve two complementarity features. The second concern is regarding the acquisition of understanding and whether context-dependence facilitates understanding. This article aims to address the first thought through an example involving interference and photon detectors in a telescope. I claim that context-dependent mapping is on a particle basis, accommodating the wave-particle duality for every single particle without generalization. I further introduce the implications of mathematical developments of a complementarity relation grounded in the uncertainty principle. In addition, I will offer the stance that context-dependence facilitates understanding because it ensures that explanations are logically consistent, precise, relevant, and comprehensive.

Discussions in the philosophy of explanation involving scientific explanations often include a form of logical entailment, causal history, unification, and more. Strevens constructs the Kairetic account in an attempt to unify the entailment structure, causal relations, and the notion of difference-making in a manner that also offers high-level explanations. When dealing with quantum mechanics, Strevens then points toward Railton's account of probabilities, known as the DNP account. In this paper, I will introduce the preliminary accounts (D-N, causal, Unificationism) and the Kairetic and DNP accounts and offer an extension of the Kairetic/DNP account to accommodate the view of complementarities. This will be done through a scheme that I call "context-dependent mapping." This will be illustrated in a couple of example cases.