I defend an account of explanatory depth according to which explanations in the non-fundamental sciences can be deeper than explanations in fundamental physics.

Can we explain why some propositions are necessary? Blackburn (Fact, science, and value. Blackwell, Oxford, 1987) has presented a dilemma aimed at showing that the necessity of a proposition cannot be explained either in the case where the explanans is another necessary proposition (necessity horn) or in the case where the explanans is a contingent proposition (contingency horn). Blackburn’s dilemma is intended to show that necessary truth is an explanatorily irreducible kind of truth: there is nothing that explains why propositions (...) are necessary, nothing that makes necessary necessary truths. In this paper, I criticize the contingency horn of Blackburn’s dilemma. On the one hand, I show that the official reconstruction of the horn uses a principle that is incompatible with the notion of explanation plausibly needed to explain why propositions are necessary; on the other, I show that a simpler formulation of the horn, which does not make use of such a controversial principle, makes essential use of principles that are incompatible with the idea that possibilities can have explanatory roles. I then defend the view that possibilities can have explanatory roles, and that the explanatory role of possibilities is best represented, within possible worlds, as the existence of trans-world relations of explanation. (shrink)

It is often remarked that Indian logic (IL) has no conception of necessity. But what kind of necessity is absent in this system? Logical necessity is presumably absent: the structure of the logical argument in IL is often given as a reason for this claim. However even a cursory understanding of IL illustrates an abiding attempt to formulate the idea of necessity. In Dharmakīrti's classification of inferences, one can detect the formal process of entailment in the inferences arising from class (...) inclusion. In Western philosophy, Leibniz's invocation of 'contingent necessity' as distinguished from the 'necessary necessity' is part of a tradition that finds value in the idea of contingent necessity. In contemporary philosophy, this has been championed by Armstrong, specifically in the context of understanding the necessity inherent in scientific laws. In IL, the analysis of 'invariable concomitance' (vyāpti) is of crucial importance and its definitions are very complex. This paper argues how vyāpti can be understood in terms of contingent necessity and also how the complex definitions can be interpreted as an attempt to define contingent necessity in terms of 'logical' necessity. (shrink)

Lange (2008) has given an argument elaborating Blackburn’s (1993) dilemma for any account of modal facts. Lange’s argument aims to show that a contingent fact lacks the modal strength required to be responsible for some fact’s necessity. Recently, Wildman (2021) has argued that Lange’s argument appeals to a mistaken premise. This paper shows that Wildman’s argument fails; his case does not constitute a counterexample to that premise.

This brief note critically assesses the central arguments in Morato’s recent contribution to the growing literature on Blackburn’s dilemma about necessity. In particular, I demonstrate that neither of Morato’s two novel reconstructions of the dilemma’s contingency horn succeed, since both turn on false premises; and, Morato fails to adequately motivate his own response to these reconstructions. The upshot is that Morato has set himself a pair of flawed problems, then offered a flawed solution.

Lange has argued that contingencies lack the modal strength to be necessity-makers. Here, I argue that Lange’s case turns upon a faulty premise, and that there is no obvious fixes he might pursue. The general upshot is that his argument gives us no reason to think that contingencies could not be necessity-makers after all.