Online research in philosophy

“The expression ‘free logic’ is an abbreviation for the phrase ‘free of existence assumptions with respect to its terms, general and singular’.”1 Classical quantification theory is not a free logic in this sense, as its standard formulations commonly assume that every singular term in every model is assigned a referent, an element of the universe of discourse. Indeed, since singular terms include not only singular constants, but also variables2, standard quantification theory may be regarded as involving even the assumption of the existence of the values of its variables, in accordance with Quine’s famous dictum: “to be is to be the value of a variable”.

1. Nathan Salmon paper is entitled with a question: are general terms rigid? He asks this question in way of engaging the issue of the extension of the notion of rigidity beyond the domain of singular terms. While singular terms has been the province of most of the discussion of this rigidity since Naming and Necessity, it is well known that Kripke saw the notion extending to at least certain general terms such as terms for natural kinds. Scott Soames has recently weighed in on this issue in the latter chapters of his book Beyond Rigidity. His conclusion is that although there are significant overlaps in the properties of singular and general terms, there is no direct extension of rigidity to the general terms, and that rigid designation is properly applied only to singular terms. Salmon disagrees. His view, based in part of views dating back to his book Reference and Essence, is that there is an extension to be had, one which allows the application of the standard Kripkean characterization of rigidity to be applied to both sorts of terms. Central to his thesis is a claim about the status of certain definite descriptions. In these remarks, I will try to outline the issues to which NS is reacting, and the proposal he posits in response. I will then consider in a more critical light his claim about definite descriptions, bringing to bear considerations of their grammar.

A paradigmatic case of rigidity for singular terms is that of proper names. And it would seem that a paradigmatic case of rigidity for general terms is that of natural kind terms. However, many philosophers think that rigidity cannot be extended from singular terms to general terms. The reason for this is that rigidity appears to become trivial when such terms are considered: natural kind terms come out as rigid, but so do all other general terms, and in particular all descriptive general terms. This paper offers an account of rigidity for natural kind terms which does not trivialise in this way. On this account, natural kind terms are de jure obstinately rigid designators and other general terms, such as descriptive general terms, are not.

A singular thought about an object o is one that is directly about o in a characteristic way—grasp of that thought requires having some special epistemic relation to the object o, and the thought is ontologically dependent on o. One account of the nature of singular thought exploits a Russellian Structured Account of Propositions, according to which contents are represented by means of structured n-tuples of objects, properties, and functions. A proposition is singular, according to this framework, if and only if it contains an object as a constituent. One advantage of the framework of Russellian Structured propositions is that it promises to provide a metaphysical basis for the notion of a singular thought about an object, grounding it in terms of constituency. In this paper, we argue that the attempt to ground the peculiar features of singular thoughts in terms of metaphysical constituency fails, and draw some consequences of our discussion for other debates.

Presenting a novel account of singular thought, a systematic application of recent work in the theory of speech acts, and a partial revival of Russell's analysis of singular terms, this book takes an original approach to the perennial problems of reference and singular terms by separating the underlying issues into different levels of analysis.

Abstract Can we draw apart questions of what it is to be a singular term (a metaphysical issue) from questions about how we tell when some expression is a singular term (an epistemological matter)? Prima facie, it might seem we can't: language, as a man-made edifice, might seem to prohibit such a distinction, and, indeed, some popular accounts of the semantics of singular terms make such an assumption. In this paper, however, I argue for a different kind of approach, one which holds that there is a useful distinction to be drawn between the metaphysical and epistemological aspects of singular terms. This approach not only avoids the problems faced by alternative accounts but also coheres well with how ordinary speakers interact with their language, issuing in an appealing (minimal) conception of semantic competence which focuses on speakers meeting the given recognitional conditions, whilst allowing that this may fall short of explicit knowledge of the constitutive feature of singular termhood.

Tim Crane (2011) characterizes the cognitive role of singular thought via singular mental files: the application of such files to more than one object is senseless. As many do, he thus stresses the contrast between ‘singular’ and ‘general’. I give a counterexample, plurally-directed singular thought, and I offer alternative characterizations of singular thought—better described as ‘objects-directed thought’—initially in terms of the defeasibility of the descriptions associated with one's thinking of an object, and then more broadly in terms of whether descriptions of the object or description-independent epistemic routes to the object are primarily operative in an agent's thinking.

In his groundbreaking Grundlagen, Frege (1884) pointed out that number words like ‘four’ occur in ordinary language in two quite different ways and that this gives rise to a philosophical puzzle. On the one hand ‘four’ occurs as an adjective, which is to say that it occurs grammatically in sentences in a position that is commonly occupied by adjectives. Frege’s example was (1) Jupiter has four moons, where the occurrence of ‘four’ seems to be just like that of ‘green’ in (2) Jupiter has green moons. On the other hand, ‘four’ occurs as a singular term, which is to say that it occurs in a position that is commonly occupied by paradigmatic cases of singular terms, like proper names: (3) The number of moons of Jupiter is four. Here ‘four’ seems to be just like ‘Wagner’ in (4) The composer of Tannhäuser is Wagner, and both of these statements seem to be identity statements, ones with which we claim that what two singular terms stand for is identical. But that number words can occur both as singular terms and as adjectives is puzzling. Usually adjectives cannot occur in a position occupied by a singular term, and the other way round, without resulting in ungrammaticality and nonsense. To give just one example, it would be ungrammatical to replace ‘four’ with ‘the number of moons of Jupiter’ in (1): (5) *Jupiter has the number of moons of Jupiter moons. This ungrammaticality results even though ‘four’ and ‘the number of moons of Jupiter’ are both apparently singular terms standing for the same object in (3). So, how can it be that number words can occur both as singular terms and as adjectives, while other adjectives cannot occur as singular terms, and other singular terms cannot occur as adjectives?

Dayal’s (2004) theory of kind terms accounts for the definiteness and number marking patterns in kind terms in many languages. Brazilian Portuguese has been claimed to be a counter-example to her theory as it seems to allow bare “singular” kind terms, which are predicted to be impossible according to her theory. However, the empirical status of the relevant data has not been clear so far. This paper presents a new data point from Singlish and confirms the existence of bare “singular” kind terms. A revised theory of kind terms is proposed that accounts for it. The proposed theory puts forth a number system with three basic categories, i.e. singular, plural and general. It is claimed that bare “singular” kind terms are in fact derived from general NPs, which are associated with number-neutral properties. The paper also discusses why bare “singular” kind terms are not perfectly acceptable in Brazilian Portuguese.