Online research in philosophy

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.

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.

In the 1960s, Peter Geach and John Searle independently posed an important objection to the wide class of 'noncognitivist' metaethical views that had at that time been dominant and widely defended for a quarter of a century. The problems raised by that objection have come to be known in the literature as the Frege-Geach Problem, because of Geach's attribution of the objection to Frege's distinction between content and assertoric force, and the problem has since occupied a great deal of the attention both of defenders of broadly noncognitivist views, and of their critics. In this article I explain Geach and Searle's historical objections, and put the subsequent discussion into dialectical context, paying some attention to the developments along the way and how they have enhanced our overall understanding of the problem. The article covers a lot of territory, so we will only be able to see the highlights, along the way. For further reading, see the Works Cited.

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.

A difficulty is exposed in Allan Gibbard's solution to the embedding/Frege-Geach problem, namely that the difference between refusing to accept a normative judgement and accepting its negation is ignored. This is shown to undermine the whole solution.

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.

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.