So-called ‘distinctively mathematical explanations’ (DMEs) are said to explain physical phenomena, not in terms of contingent causal laws, but rather in terms of mathematical necessities that constrain the physical system in question. Lange argues that the existence of four or more equilibrium positions of any double pendulum has a DME. Here we refute both Lange’s claim itself and a strengthened and extended version of the claim that would pertain to any n-tuple pendulum system on the ground that such explanations are (...) actually causal explanations in disguise and their associated modal conditionals are not general enough to explain the said features of such dynamical systems. We argue and show that if circumscribing the antecedent for a necessarily true conditional in such explanations involves making a causal analysis of the problem, then the resulting explanation is not distinctively mathematical or non-causal. Our argument generalises to other dynamical systems that may have purported DMEs analogous to the one proposed by Lange, and even to some other counterfactual accounts of non-causal explanation given by Reutlinger and Rice. (shrink)

According to Skow (2016, 2017), correct answers to why-questions only cite causes or grounds, but not non-accidental regularities. Accounts that cite non-accidental regularities typically confuse second-level reasons with first-level reasons. Only causes and grounds are first-level reasons why. Non-accidental regularities are second-level reasons why. I first show that Skow's arguments for the accusation of confusion depend on the independent thesis that only citations of first-level reasons why are (parts of) answers to why-questions. Then, I argue that this thesis is false. (...) Consequently, the claim that correct answers to why-questions only cite causes or grounds is refuted as well. (shrink)

Whatever you think of Bertrand Russell’s famous claim that the ‘law of causality’ is (at least as of 1912) redundant in the ‘advanced sciences’, it is nonethele.