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I consider a recent attempt by Mark Schroeder in his book Being For to provide an expressivist semantics for the connectives, and I argue that it does not, as it claims, answer the ‘Frege-Geach objection&rsquo.

P.T. Geach has maintained (see, e.g., Geach (1967/1968)) that identity (as well as dissimilarity) is always relative to a general term. According to him, the notion of absolute identity has to be abandoned and replaced by a multiplicity of relative identity relations for which Leibniz’s Law – which says that if two objects are identical they have the same properties – does not hold. For Geach relative identity is at least as good as Frege’s cardinality thesis – which he takes to be strictly connected with relative identity – according to which an ascription of cardinality is always relative to a concept which specifies what, in any particular case, counts as a unit. The idea that there is a close connection between relative identity and Frege’s cardinality thesis has been issued again quite recently by Alston and Bennett in (1984). In their opinion, Frege’s cardinality thesis is not only similar to relative identity – as Geach maintains – but it implies it. Moreover, they agree with Geach in claiming that a commitment to Frege’s cardinality thesis forces a parallel commitment to relative identity. Against Geach, Alston and Bennett we will claim that (T1): «Frege’s cardinality thesis is similar to relative identity» is false and that therefore (T2) «Frege’s cardinality thesis implies relative identity» is false as well.

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.

Philosophers should consider a hybrid meta-ethical theory that includes elements of both moral expressivism and moral error theory. Proponents of such an expressivist-error theory hold that all moral utterances are either expressions of attitudes or expressions of false beliefs. Such a hybrid theory has two advantages over pure expressivism, because hybrid theorists can offer a more plausible account of the moral utterances that seem to be used to express beliefs, and hybrid theorists can provide a simpler solution to the Frege-Geach problem. The hybrid theory has three advantages over pure error theory, because hybrid theorists can offer a more plausible account of the moral utterances that seem to be used to express attitudes, hybrid theorists can more easily explain moral motivation, and hybrid theorists can avoid the implausible claim that all moral discourse is radically mistaken. Accordingly, such a hybrid theory should be more attractive than pure expressivism or pure error theory to philosophers who are skeptical about moral facts and truth.

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.

Non-cognitivism might seem to offer a plausible account of evaluative judgments, at least on the assumption that there is a satisfactory solution to the Frege–Geach problem. However, Cian Dorr has argued that non-cognitivism remains implausible even assuming that the Frege–Geach problem can be solved, on the grounds that non-cognitivism still has to classify some paradigmatically rational inferences as irrational. Dorr’s argument is ingenious and at first glance seems decisive. However, in this paper I will show that Dorr’s argument equivocates between two different notions of evidence , and that once this equivocation is noted there is no reason to doubt that non-cognitivism is consistent with the rationality of such inferences, at least if it is assumed that the Frege–Geach problem can be solved. In particular, I will show that non-cognitivists can endorse the same explanation of the rationality of such inferences that cognitivists should endorse, and that there is thus no need for non-cognitivists to offer any sort of idiosyncratic account of the epistemology of such cases, in contrast to what other commentators on Dorr’s argument have thought.

Normative judgments involve two gradable features. First, the judgments themselves can come in degrees; second, the strength of reasons represented in the judgments can come in degrees. Michael Smith has argued that non-cognitivism cannot accommodate both of these gradable dimensions. The degrees of a non-cognitive state can stand in for degrees of judgment, or degrees of reason strength represented in judgment, but not both. I argue that (a) there are brands of noncognitivism that can surmount Smith’s challenge, and (b) any brand of non-cognitivism that has even a chance of solving the Frege–Geach Problem and some related problems involving probabilistic consistency can also thereby solve Smith’s problem. Because only versions of non-cognitivism that can solve the Frege–Geach Problem are otherwise plausible, all otherwise plausible versions of noncognitivism can meet Smith’s challenge.

This paper investigates the linguistic basis for moral non-cognitivism, the view that sentences containing moral predicates do not have truth conditions. It offers a new argument against this view by pointing out that the view is incompatible with our best empirical theories about the grammatical encoding of illocutionary force potentials. Given that my arguments are based on very general assumptions about the relations between the grammar of natural languages and a sentence's illocutionary function, my arguments are broader in scope than the familiar semantic objections to non-cognitivism relating to the so-called Frege-Geach problem: even if a solution to the Frege-Geach problem has been found, my arguments still stand.

Mark Eli Kalderon has argued for a fictionalist variant of non-cognitivism. On his view, what the Frege–Geach problem shows is that standard non-cognitivism proceeds uncritically from claims about use to claims about meaning; if non-cognitivism's claims were solely about use it would be on safe ground as far as the Frege–Geach problem is concerned. I argue that Kalderon's diagnosis is mistaken: the problem concerns the non-cognitivist's account of the use of moral sentences too.