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This paper revisits some views about negation I defended in two early papers. Some of the themes of those papers have been developed sympathetically in recent work by Tim Smiley, Lloyd Humberstone and Ian Rumfitt. However, Rumfitt and Peter Gibbard have both criticised arguments I offered in defence of Double Negation Elimination (DNE), against a Dummettian intuitionist. I reconsider those arguments, arguing that although they survive Rumfitt’s and Gibbard’s attacks, the case against Dummett is for other reasons less straightforward than I took it to be. With reference to Rumfitt’s own defence of DNE, I call attention to the attractions of the view defended in my second paper that negation has dialectical origins. I also point out some difficulties for this view which seem to have been overlooked by previous writers, including me.

At least since [Frege, 1960] and [Geach, 1965], there has been some consensus about the relation between negation, the speech act of denial, and the attitude of rejection: a denial, the consensus has had it, is the assertion of a negation, and a rejection is a belief in a negation. Recently, though, there have been notable deviations from this orthodox view. Rejectivists have maintained that negation is to be explained in terms of denial or rejection, rather than vice versa. Some other theorists have maintained that negation is a separate phenomenon from denial, and that neither is to be explained in terms of the other. In this paper, I present and consider these heterodox theories of the relation between negation, denial, and rejection.

This paper examines key aspects of Allan Gibbard's psychological account of moral activity. Inspired by evolutionary theory, Gibbard paints a naturalistic picture of morality mainly based on two specific types of emotion: guilt and anger. His sentimentalist and expressivist analysis is also based on a particular conception of rationality. I begin by introducing Gibbard's theory before testing some key assumptions underlying his system against recent empirical data and theories. The results cast doubt on some crucial aspects of Gibbard's philosophical theory, namely his reduction of morality to anger and guilt, and his theory of “normative governance.” Gibbard's particular version of expressivism may be undermined by these doubts.

After presenting a simple expressivist account of reports of probabilistic judgments, I explore a classic problem for it, namely the Frege-Geach problem. I argue that is a problem not just for expressivism, but for any reasonable account of ascriptions of graded judgments. I suggest that the problem can be resolved by appropriately modeling imprecise credences.

Preface -- The problems of metaethics -- The noncognitivist turn -- The Frege-Geach problem, 1939-1970 -- Expressivism -- Moral thought -- The Frege-Geach problem, 1973-1988 -- The Frege-Geach problem, 1988-2006 -- Truth and objectivity -- Epistemology : wishful thinking -- The hybrid gambit -- Prospects and applications.

In chapter five of Wise Choices, Apt Feelings Allan Gibbard develops what he calls a ‘normative logic’ intended to solve some problems that face an expressivist theory of norms like his. The first is “the problem of embedding: The analysis applies to simple contexts, in which it is simply asserted or denied that such-and-such is rational. It says nothing about more complex normative assertions.”1 That is the problem with which I will be concerned. Though he doesn’t list it as one of the problems to be solved, Gibbard’s devices also explain what it means to say that a certain normative argument is ‘valid’, that one normative statement follows from some others. Both of these questions arise because of the ways we ordinarily think and speak, ways which on a simplistic version of expressivism appear not to make any sense. An expressivist committed to making sense of the way we ordinarily think and speak in normative language owes some account of embeddings and of logic. Gibbard’s device seems to me the clearest and most systematic of any expressivist attempt to meet these challenges.

Expressivists have a problem with negation. The problem is that they have not, to date, been able to explain why ‘murdering is wrong’ and ‘murdering is not wrong’ are inconsistent sentences. In this paper, I explain the nature of the problem, and why the best efforts of Gibbard, Dreier, and Horgan and Timmons don’t solve it. Then I show how to diagnose where the problem comes from, and consequently how it is possible for expressivists to solve it. Expressivists should accept this solution, I argue, because it is demonstrably the only way of avoiding the problem, and because it generalizes. Once we see how to solve the negation problem, I show, it becomes easy to state a constructive, compositional expressivist semantics for a purely normative language with the expressive power of propositional logic, in which we can for the first time give explanatory, formally adequate expressivist accounts of logical inconsistency, logical entailment, and logical validity. As a corollary, I give what I take to be the first real expressivist explanation of why Geach’s original moral modus ponens argument is genuinely logically valid. This proves that the problem with expressivism cannot be that it can’t account for the logical properties of complex normative sentences. But it does not show that the same solution can work for a language with both normative and descriptive predicates, let alone that expressivists are able to deal with more complex linguistic constructions like tense, modals, or even quantifiers. In the final section, I show what kind of constraints the solution offered here would place expressivists under, in answering these further questions.

Expressivists, such as Blackburn, analyse sentences such as 'S thinks that it ought to be the case that p' as S hoorays that p'. A problem is that the former sentence can be negated in three different ways, but the latter in only two. The distinction between refusing to accept a moral judgement and accepting its negation therefore cannot be accounted for. This is shown to undermine Blackburn's solution to the Frege-Geach problem.