Giorgio Agamben and Alain Badiou have both recently made central use of set-theoretic results in their political and ontological projects. As I argue in the paper, one of the most important of these to both thinkers is the paradox of set membership discovered by Russell in 1901. Russell’s paradox demonstrates the fundamentally paradoxical status of the totality of language itself, in its concrete occurrence or taking-place in the world. The paradoxical status of language is essential to Agamben’s discussions of the (...) “coming community,” “whatever being,” sovereignty, law and its force, and the possibility of a reconfiguration of political life, as well as to Badiou’s notions of representation, political intervention, the nature of the subject, and the event. I document these implications of Russell’s paradox in the texts of Agamben and Badiou and suggest that they point the way toward a reconfigured political life, grounded in a radical reflective experience of language. (shrink)

This paper is about the mode of being of names. The paper begins by explaining why the joke is on commentators who see Lewis Carroll's White Knight as applying the use/mention distinction. Then it argues that the real problem with the distinction is that the idea that names are used to mention what they name depends on mistakenly conceiving of language as existing autonomously; and that philosophers have this conception because they fail to appreciate what they are doing when they (...) philosophise about language. This failure also explains why philosophers mistakenly think of any manifestation of a name as a (physical) token. (shrink)

A large part of the explainable AI literature focuses on what explanations are in general, what algorithmic explainability is more specifically, and how to code these principles of explainability into AI systems. Much less attention has been devoted to the question of why algorithmic decisions and systems should be explainable and whether there ought to be a right to explanation and why. We therefore explore the normative landscape of the need for AI to be explainable and individuals having a right (...) to such explanation. This exploration is particularly relevant to the medical domain where the (im)possibility of explainable AI is high on both the research and practitioners’ agenda. The dominant intuition overall is that explainability has and should play a key role in the health context. Notwithstanding the strong normative intuition for having a right to explanation, intuitions can be wrong. So, we need more than an appeal to intuitions when it comes to explaining the normative significance of having a right to explanation when being subject to AI-based decision-making. The aim of the paper is therefore to provide an account of what might underlie the normative intuition. We defend the ‘symmetry thesis’ according to which there is no special normative reason to have a right to explanation when ‘machines’ in the broad sense, make decisions, recommend treatment, discover tumors, and so on. Instead, we argue that we have a right to explanation in cases that involve automated processing that significantly affect our core deliberative agency and which we do not understand, because we have a general moral right to explanation when choices are made which significantly affect us but which we do not understand. (shrink)

Anscombe raises a difficulty for the very idea of quotation. Davidson seeks to dissolve this difficulty. But the difficulty is real. And its lesson is that, in quotation, language takes itself as its topic in a non-objectifying manner. The idea of a non-objectifying manner of being a topic is crucial, not merely for understanding quotation, but for understanding the distinctive form of sensory consciousness in which language is perceived.

We analyse Reach's puzzle, according to which it is impossible to be told anyone's name, because the statement conveying it can be understood only by someone who already knows what it says. We argue that the puzzle can be solved by adverting to the systematic nature of mention when it involves the use of standard quotation marks or similar devices. We then discuss mention more generally and outline an account according to which any mentioning expressions that are competent to solve (...) Reach's puzzle – and in particular those consisting of standard quotation marks and their fillings – have a descriptive analysis: we rebut the usual objections to this account, and show how it is superior to some of the alternatives in the literature. We conclude by briefly connecting the foregoing discussions with semantic theory. (shrink)

Minimalists, such as Paul Horwich, claim that the notions of truth, reference and satisfaction are exhausted by some very simple schemes. Unfortunately, there are subtle difficulties with treating these as schemes, in the ordinary sense. So instead, minimalists regard them as illustrating one-place functions, into which we can input propositions (when considering truth) or propositional constituents (when considering reference and satisfaction). However, Bertrand Russell's Gray's Elegy argument teaches us some important lessons about propositions and propositional constituents. When applied to minimalism, (...) these lessons show us why we should abandon it. (shrink)