Michael Price

It is a remarkable fact about the early history of the analytic tradition that its three most important protagonists all held, at least during significant intervals of their respective careers, that there are entities that cannot be named. This shared commitment on the part of Frege, Russell and the early Wittgenstein is the topic of this thesis. I first clarify the particular form this commitment takes in the work of these three authors. I also illustrate a distinctive cluster of philosophical difficulties attending the view that there are unnameable entities, and explore the relationship between unnameability and inexpressibility. I then investigate what grounds there are for countenancing the unnameable, focussing in particular on the thesis that concepts cannot be named. I give a detailed hearing to four arguments for the unnameability of concepts discernible in, or suggested by, early analytic writings. The first and second arguments (chapters 3 and 4) are distinguishable in the locus classicus, Frege's 'On Concept and Object'. The first concerns the relationship between co-reference and intersubstitutability; the second concerns the unity of thought. The third argument (chapter 4) appeals to the alleged impossibility of expressing identities between objects and concepts, while the fourth (chapter 5) draws on considerations pertaining to diagonalization and Russell's paradox. I make the case that all four arguments fail to provide grounds for accepting the unnameable, contending that each argument can and should be resisted in defence of singular reference to concepts. In doing so I develop a novel defence of the view that absolutely any entity can be referred to with a singular term.

_ Source: _Volume 95, Issue 3, pp 368 - 413 Frege famously maintained that concepts are not objects. A key argument of Frege’s for this view is, in outline, as follows: if we are to account for the unity of thought, concepts must be deemed _unsaturated_; since objects are, by contrast, saturated entities, concepts cannot be objects. The author investigates what can be made of this argument and, in particular, of the unsaturated/saturated distinction it invokes. Systematically exploring a range of reconstructions suggested by Frege’s writings, and drawing on contemporary work, the author illustrates that no plausible reconstruction is forthcoming. In essence, it is altogether unclear how to simultaneously substantiate, on the one hand, the claim that unsaturated entities must be recognized in order to account for unity and, on the other, the claim that unsaturatedness is incompatible with objecthood.

Frege’s rejection of singular reference to concepts is centrally implicated in his notorious paradox of the concept horse. I distinguish a number of claims in which that rejection might consist and detail the dialectical difficulties confronting the defense of several such claims. Arguably the least problematic such claim—that it is simply nonsense to say that a concept can be referred to with a singular term—has recently received a novel defense due to Robert Trueman. I set out Trueman’s argument for this claim, identifying and remedying some omissions and errors of formulation therein. I then develop a response to the argument by showing, pace Trueman, that it is possible—and how it is possible—to express identities between objects and concepts.