Counter countermathematical explanations

Research output: Contribution to journalArticlepeer-review

Abstract

Recently, there have been several attempts to generalize the counterfactual theory of causal explanations to mathematical explanations. The central idea of these attempts is to use conditionals whose antecedents express a mathematical impossibility. Such countermathematical conditionals are plugged into the explanatory scheme of the counterfactual theory and—so is the hope—capture mathematical explanations. Here, I dash the hope that countermathematical explanations simply parallel counterfactual explanations. In particular, I show that explanations based on countermathematicals are susceptible to three problems counterfactual explanations do not face. These problems seriously challenge the prospects for a counterfactual theory of explanation that is meant to cover mathematical explanations. © 2021, The Author(s), under exclusive licence to Springer Nature B.V.
Original languageEnglish
JournalErkenntnis
Early online date8 Nov 2021
DOIs
Publication statusE-pub ahead of print - 8 Nov 2021

Fingerprint

Dive into the research topics of 'Counter countermathematical explanations'. Together they form a unique fingerprint.

Cite this