LP, K3, and FDE as Substructural Logics

Building on recent work, I present sequent systems for the non-classical logics LP, K3, and FDE with two main virtues. First, derivations closely resemble those in standard Gentzen-style systems. Second, the systems can be obtained by reformulating a classical system using nonstandard sequent structure and simply removing certain structural rules (relatives of exchange and contraction). I clarify two senses in which these logics count as “substructural.

Sellars, Truth Pluralism, and Truth Relativism

Two currently much discussed views about truth, truth pluralism and truth relativism, are found in Sellars’s writings. I show that his motivations for adoping these views are interestingly different from those shared by most of their recent advocates. First, I explain how Sellars comes to embrace a version of truth pluralism. I argue that his version overcomes a difficulty confronting pluralists, albeit at a serious cost. Then I argue that Sellars’s truth pluralism isn’t motivated by his interest in domains of discourse beyond the “matter-of-factual.” Rather, the key to his truth pluralism, his analysis of truth as “semantical assertibility,” is motivated by the same consideration that leads him to adopt truth relativism. This is his interest in applying semantic notions to discourse that embodies conceptual structures other than ours. Despite their common motivation, I conclude that Sellars’s relativism is independent of, and indeed stands in tension with, the analysis of truth that underlies his pluralism

Toward 'Perfect Collections of Properties': Locke on the Constitution of Substantial Sorts

Locke's claims about the "inadequacy" of substance-ideas can only be understood once it is recognized that the "sort" represented by such an idea is not wholly determined by the idea's descriptive content. The key to his compromise between classificatory conventionalism and essentialism is his injunction to "perfect" the abstract ideas that serve as "nominal essences." This injunction promotes the pursuit of collections of perceptible qualities that approach ever closer to singling out things that possess some shared explanatory-level constitution. It is in view of this norm regulating natural-historical inquiry that a substance-idea represents a sort for which some such constitution serves as the "real essence," i.e. as that on which all the sort's characteristic "properties" depend

Primary aldosteronism due to adrenocortical adenoma (conn's syndrome)

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