Paradoxes and Failures of Cut

This paper presents and motivates a new philosophical and logical approach to truth and semantic paradox. It begins from an inferentialist, and particularly bilateralist, theory of meaning—one which takes meaning to be constituted by assertibility and deniability conditions—and shows how the usual multiple-conclusion sequent calculus for classical logic can be given an inferentialist motivation, leaving classical model theory as of only derivative importance. The paper then uses this theory of meaning to present and motivate a logical system—ST—that conservatively extends classical logic with a fully transparent truth predicate. This system is shown to allow for classical reasoning over the full (truth-involving) vocabulary, but to be non-transitive. Some special cases where transitivity does hold are outlined. ST is also shown to give rise to a familiar sort of model for non-classical logics: Kripke fixed points on the Strong Kleene valuation scheme. Finally, to give a theory of paradoxical sentences, a distinction is drawn between two varieties of assertion and two varieties of denial. On one variety, paradoxical sentences cannot be either asserted or denied; on the other, they must be both asserted and denied. The target theory is compared favourably to more familiar related systems, and some objections are considered and responded to.     

Healthy Conflict in an Era of Intractability

The essay responds to four critical essays by Rosemary Kellison, Ebrahim Moosa, Joseph Winters, and Martin Kavka on the author’s recent book, Healthy Conflict in Contemporary American Society: From Enemy to Adversary (2018). Parts 1 and 2 work in tandem to further develop my accounts of strategic empathy and agonistic political friendship. I defend these accounts against criticisms that my argument for moral imagination obligates oppressed people to empathize with their oppressors. I argue, further, that healthy conflict can be motivated by a kind of “secular” love. This enables my position to immanently critique and mediate the claims that one must either love (agapically) one’s opponent in order to engage them in “healthy conflict,” on one hand, or that one must vanquish, exclude, or “cancel” one’s opponent, on the other. In Part 3, I demonstrate how my account mediates the challenge of an alleged standing opposition between moral imagination and socio-theoretical critique. I defend a methodologically pragmatist account of immanent prophetic criticism, resistance, and conflict transformation. Finally, I respond to one critic’s vindication of a strong enemy/adversary opposition that takes up the case of white supremacist violence in the U.S. I argue that the time horizon for healthy conflict must be simultaneously immediate and also long-term, provided that such engagements remain socio-critically self-reflexive and seek to cultivate transformational responses.     

Brandom,Hegel and Inferentialism

In the course of developing a semantics with epistemological intent, Brandom claims that his inferentialism is Hegelian. This paper argues that, even on a charitable reading, Brandom is an anti-Hegelian.     

The Logical Structure of Linguistic Commitment III Brandomian Scorekeeping and Incompatibility

Curiously, though he provides in Making It Explicit (MIE) elaborate accounts of various representational idioms, of anaphora and deixis, and of quantification, Robert Brandom nowhere attempts to lay out how his understanding of content and his view of the role of logical idioms combine in even the simplest cases of what he calls paradigmatic logical vocabulary. That is, Brandom has a philosophical account of content as updating potential – as inferential potential understood in the sense of commitment or entitlement preservation – and says that the point of logical vocabulary is to make available the expressive resources to make explicit such semantic structures as arise from discursive scorekeeping practice. Thus, one would expect an account of the updating or inferential potential of sentences involving logical vocabulary, an account which is such as to assign to those sentences the inferential significance necessary for this expressive job. In short, one would expect a semantics of logical vocabulary – &, , – in terms of the difference an assertion of a sentence involving it makes to the atomic score of a linguistic agent, and a completeness proof for the logic generated by this semantics. Despite this, no such semantics is given in MIE. It is in the current paper.     

VIRTUES, SOCIAL ROLES, AND CONTEXTUALISM

Abstract: Contextualism in epistemology has been proposed both as a way to avoid skepticism and as an explanation for the variability found in our use of "knows." When we turn to contextualism to perform these two functions, we should ensure that the version we endorse is well suited for these tasks. I compare two versions of epistemic contextualism: attributor contextualism (from Keith DeRose) and methodological contextualism (from Michael Williams). I argue that methodological contextualism is superior both in its response to skepticism and in its mechanism for changing contexts. However, methodological contextualism still faces two challenges: explaining why we are solidly committed to some contexts, and explaining why knowledge within a context is valuable. I propose virtue contextualism as a useful extension of methodological contextualism, focusing on the way that our virtues depend on our social roles. My proposed virtue contextualism retains the benefits of methodological contextualism while explaining both our commitment to particular contexts and the value of knowledge held within those contexts.     

Abstract rationality in education: from Vygotsky to Brandom

Abstract rationality has increasingly been a target of attack in contemporary educational research and practice and in its place practical reason and situated thinking have become a focus of interest. The argument here is that something is lost in this. In illustrating how we might think about the issue, this paper makes a response to the charge that as a result of his commitment to the ‘Enlightenment project’ Vygotsky holds abstract rationality as the pinnacle of thought. Against this it is argued that Vygotsky had a far more sophisticated appreciation of reason and of its remit. The paper proceeds first by examining the picture of Vygotsky that is presented in the work of James Wertsch, and especially his claim that Vygotsky was an ambivalent rationalist, goes on to provide an account of Vygotsky that corrects this picture, and develops this in the light of the work of Robert Brandom, who shares Vygotsky’s inheritance of Hegel. The conclusion towards which this piece points is that the philosophical underpinnings of Vygotsky’s work provide a radically different idea of rationality and epistemology from that characterised as abstract rationality and that this has significance for education studies.

THE PRAGMATIC TURN IN THESTUDY OF RELIGION

Jeffrey Stout's Democracy and Tradition puts forward a complex argument in favor of American democracy as a healthy and legitimate moral and political tradition in itself. Stout does not dwell on the place of his own work in the “pragmatic” approach to the study of religion in the last thirty years. This paper attempts to situate Stout's work in the approach to religion identified with Mary Douglas and Wayne Proudfoot and to suggest some of the consequences for comparative religious ethics of his making that “pragmatic turn.”     

LANGUAGE,MIND, AND WORLD: CAN'T WE ALL JUST GET ALONG?

Abstract: This article addresses recent claims made by Richard Rorty about antirepresentationalist theories of meaning. Rorty asserts that a faithful rendering of the core antirepresentationalist assumptions precludes even revised pieces of representationalist semantics like “refers” or “true” and epistemological correlates like “answering to the facts.” Rorty even asserts that such notions invite reactionary authoritarian elements that would impede the development of a democratic humanism. I reject this claim and assert that such notions (suitably constructed) pose no greater threat to democratic humanism than the alternatives and in fact are crucial to its maintenance and continuing success. These notions (suitably constructed) reflect a metatheoretical stance that I call “openness,” which I believe lies at the heart of both democratic humanism and the pragmatism from which Rorty claims to take his inspiration.