On the Concept of the Scale

The theory of linear arrays provides a definition of linear order from the reflexive, symmetric, but non-transitive relation of matching. However, a distance function is not generally available for the elements of a linear array. Given the original intended interpretation of the matching predicate as holding between phenomenal qualia, this result presents an apparent contradiction to the existence of human practices, specifically the tradition of musical practice described by common-practice music theory, that involve precise judgments of phenomenal distance. This paper resolves that seeming contradiction by constructing a notion of the musical scale out of the theory of linear arrays. First, the theory of linear arrays is briefly reviewed. Then, criteria of adequacy for the construction are adduced from common-practice music theory, the theory of measure and the semiotic theory of notation. The construction is presented along with results indicating its fulfillment of the criteria of adequacy. Finally, the relations between several variables introduced in the course of the construction are investigated.     

Philosophy in Mediis Rebus

Philosophy should begin in the middle of things. I distinguish two ways in which I think that philosophy should begin in the middle of things, and then I describe the two dominant approaches to analytic philosophy today: scientific pragmatism and conceptual analysis (or, more broadly, "a priorism"). After giving reasons for dissatisfaction with both of these dominant approaches, I set out my own view – Practical Realism – and argue for the merits of its methodological and metaphysical components.     

Chisholm on Perceptual Knowledge: Foundationalism versus Coherentism

Abstract: Chisholm refuted phenomenalism as a theory of the justification of perceptual beliefs. He argued, following Thomas Reid, that some perceptual beliefs were justified in themselves, which provided a foundation for empirical knowledge. The question that remains is whether the foundational justification provided offers an adequate explanation of how justification is connected with truth. The search for a truth connection led me from foundationalism to a coherence theory of justification that, contrary to my intentions, was inspired by an observation of Chisholm himself.