Abstract: This article explores the connections between David Hume's theory of prejudice, present-day theories of structural ignorance, and Hume's own racist attitudes. Charles Mills has identified certain types of ignorance, including racial ignorance, that result from social structures. Here, I argue that Hume can do something similar. Hume uses the concept of prejudice to theorize the misjudgment of someone based on their perceived membership of a certain group. Despite its seemingly individualist presentation in the Treatise, Hume's theory can, as a result of his deeply social view of the mind, be expanded to account for social-structural influences on the formation of prejudices. In fact, in several places he himself develops such structural explanations. On the resulting picture, both his racism and his theory of prejudice are seen to play important roles in his philosophy. 

Abstract: Spinoza’s epistemology aims at the development of “adequate” and the removal of “confused” ideas. Spinoza’s theory of confusion raises many questions, however. It has often been thought that the confusion of an idea is mind-relative, such that an idea might be confused in my mind but adequate in God’s. In this paper I argue that confusion cannot be mind-relative, because an idea’s confusion is determined by what it represents and for Spinoza, ideas are individuated by their representational content. Instead, I propose that although it is possible to consider one and the same idea both adequately and confusedly, what such considerings pick up on are mind-independent features of ideas. 

Abstract: This paper argues that Spinoza held substances other than God to be inconceivable. It uses this claim to develop a novel response to the Problem of Other Substances (Garrett 1979, Barry 2019), the problem of explaining why some of Spinoza’s proofs for God’s existence cannot be used to prove the existence of a non-divine substance instead. 

Abstract: The purpose of this article is to draw the attention of mathematics education researchers to a relatively new semantic theory called inferentialism, as developed by the philosopher Robert Brandom. Inferentialism is a semantic theory which explains concept formation in terms of the inferences individuals make in the context of an intersubjective practice of acknowledging, attributing, and challenging one another’s commitments. The article argues that inferentialism can help to overcome certain problems that have plagued the various forms of constructivism, and socioconstructivism in particular. Despite the range of socioconstructivist positions on offer, there is reason to think that versions of these problems will continue to haunt socioconstructivism. The problems are that socioconstructivists (i) have not come to a satisfactory resolution of the social-individual dichotomy, (ii) are still threatened by relativism, and (iii) have been vague in their characterization of what construction is. We first present these problems; then we introduce inferentialism, and finally we show how inferentialism can help to overcome the problems. We argue that inferentialism (i) contains a powerful conception of norms that can overcome the social-individual dichotomy, (ii) draws attention to the reality that constrains our inferences, and (iii) develops a clearer conception of learning in terms of the mastering of webs of reasons. Inferentialism therefore represents a powerful alternative theoretical framework to socioconstructivism.

Abstract: A tension has been identified between the acquisition and participation metaphors for learning, and it is generally agreed that this tension has still not been adequately resolved. In this paper, we offer an alternative to the acquisition and participation metaphors for learning: the metaphor of mastering. Our claim is that the mastering metaphor, as grounded in inferentialism, allows one to treat both the acquisition and participation dimensions of learning as complementary and mutually constitutive. Inferentialism is a semantic theory which explains concept formation in terms of the inferences individuals make in the context of an intersubjective practice of acknowledging, attributing, and challenging one another's commitments. We first introduce the key concepts of inferentialism and consider the perspective on learning that inferentialism inspires. Then, we condense the lessons of the inferentialist concepts into a single mastering metaphor for learning and argue that learning consists in the process by which learners come to master concepts and practices. We conclude by discussing how the mastering metaphor could be put to work in a theoretical reconciliation of the cognitive and sociocultural dimensions of learning.