Causation and Counterfactual Dependence in Mathematics

Recent metaphysics has seen a surge of interest in 'non-causal explanation', and especially in the notion of one fact grounding another. The notion of grounding promises to cast new light on mathematical explanation, which is not handled cleanly by orthodox philosophical theories of explanation. I sketch a theory of grounding according to which it constitutes a generalized form of causal dependence, and explore potential applications to explanation in mathematics and logic.

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School of Mathematics

University of Birmingham

http://web.mat.bham.ac.uk/R.W.Kaye/

Dr Walter Dean

Department of Philosophy

University of Warwick

http://go.warwick.ac.uk/whdean