Predicates, Misc

Inferentialism is a theory in the philosophy of language which claims that the meanings of expressions are constituted by inferential roles or relations. Instead of a traditional model-theoretic semantics, it naturally lends itself to a proof-theoretic semantics, where meaning is understood in terms of inference rules with a proof system. Most work in proof-theoretic semantics has focused on logical constants, with comparatively little work on the semantics of non-logical vocabulary. Drawing on Robert Brandom’s notion of material inference and Greg Restall’s (...) bilateralist interpretation of the multiple conclusion sequent calculus, I present a proof-theoretic semantics for atomic sentences and their constituent names and predicates. The resulting system has several interesting features: (1) the rules are harmonious and stable; (2) the rules create a structure analogous to familiar model-theoretic semantics; and (3) the semantics is compositional, in that the rules for atomic sentences are determined by those for their constituent names and predicates. (shrink)

In this paper I investigate a certain contextualist answer to the problem raised for the view by the phenomenon of faultless disagreement: namely, that it cannot account for disagreement in ordinary exchanges involving predicates of personal taste. I argue that the answer investigated either misses the target, ignoring the relevant cases which the relativist challenge is based or that it has to appeal to semantic blindness, a move that has certain costs. In addition, I argue that the same holds for (...) a specific variant of contextualist view – the presuppositional view proposed by López de Sa. (shrink)

One reason to think that names have a predicate-type semantic value is that they naturally occur in count-noun positions: ‘The Michaels in my building both lost their keys’; ‘I know one incredibly sharp Cecil and one that's incredibly dull’. Predicativism is the view that names uniformly occur as predicates. Predicativism flies in the face of the widely accepted view that names in argument position are referential, whether that be Millian Referentialism, direct-reference theories, or even Fregean Descriptivism. But names are predicates (...) in all of their occurrences; they are predicates that are true of their bearers. When a name appears as a bare singular in argument position, it really occupies the predicate position of what in this essay is called a denuded definite description: a definite description with an unpronounced definite article. Sloat provided good evidence for this. The definite article is sometimes pronounced with names in the singular: ‘The Ivan we all love doesn't feel well’. Sloat proposed a disjunctive generalization of when the definite article must be pronounced with a singular name. This essay shows that by slightly revising Sloat's generalization, we arrive at a simple, nondisjunctive, syntactic rule that governs the overt appearance of the definite article with singular names. But Ivan does not necessarily bear the name ‘Ivan’, so one might worry that the sentence “Ivan might not have had ‘Ivan’ as a name” would incorrectly be predicted false. This essay shows that Predicativism does not have this consequence by showing that incomplete definite descriptions in general and incomplete denuded descriptions, such as ‘Øthe Ivan’, in particular are rigid designators. (shrink)

This paper develops a semantic analysis of data like It is getting colder and colder. Their meaning is argued to arise from a combination of a comparative with pluractionality. The analysis is embedded in a general theory of plural predication and pluractionality. It supports a semantic theory involving a family of syntactic plural operators.

In this paper I explore how the tenseless copula is to be interpreted in sentences of the form “a is F at t”, where “a” denotes a persisting, changeable object, “F” stands for a prima facie intrinsic property and “t” for a B-time. I argue that the interpretation of the copula depends on the logical role assigned to the time clause. Having rejected the idea that the time clause is to be treated as a sentence operator, I argue: that if (...) “at t” is thought of as being associated with “a” or “F”, then the tenseless copula is most plausibly read as an “is” simpliciter; and that if “at t” is treated as being associated with the copula, then the tenseless copula is most plausibly understood as expressing a disjunction of tensed copulas. I end the paper by explaining the importance of the issue. I indicate the ramifications interpretation of the tenseless copula has for the so-called problem of temporary intrinsics. (shrink)

This paper examines the quest for the quantification of the predicate, as discussed by W.S. Jevons, and relates it to the discussion about universals and particulars between Plato and Aristotle. We conclude that the quest for the quantification of the predicate can only be achieved by stripping the syllogism from its metaphysical heritage.

Michael Dummett has argued that a formal semantics for our language is inadequate unless it can be shown to illuminate to our actual practice of speaking and understanding. This paper argues that Frege’s account of the semantics of predicate expressions according to which the reference of a predicate is a concept (a function from objects to truth values) has exactly the required characteristics. The first part of the paper develops a model for understanding the distinction between objects and concepts as (...) an ontological distinction. It argues that, ontologically, we can take a Fregean function to be generated by a property detection device that can register for any object the presence or absence of that property. This provides a direct connection between the semantics of sentences and the structure of perceptual judgment. The second part of the paper deals with arguments that have been mounted against the coherence of Frege’s semantics. It argues that some of these are question begging, while others are correct in so far as Frege’s claim is untenable if we assume that the syntactic categories singular term and predicate are primary, and the ontological categories are simply projections of these syntactic categories. However, the objections dissipate once we recognize that an independent ontological characterization of the distinction is available. (shrink)

Th e simple proposal about rigidity for predicates can be stated thus: a predicate is rigid if its canonical nominalization signifi es the same property across the different possible worlds. I have tried elsewhere to defend such a proposal from the trivialization problem, according to which any predicate whatsoever would turn out to be rigid. Benjamin Schnieder (2005) aims fi rst to rebut my argument that some canonical nominalizations can be fl exible, then to provide fi ve arguments to the (...) eff ect that they are all rigid, and fi nally to propose a general explanation of why they are all rigid. I show fi rst why my argument has not been rebutted, then why Schnieder’s fi ve arguments for their rigidity all fail, and fi nally why the alleged “explanation” cannot be such, as the facts alluded to are neutral with respect to the rigidity or fl exibility of the nominalizations. (shrink)

Whether a predicate is a referential expression depends upon what reference is conceived to be. Even if it is granted that reference is a relation between words and worldly items, the referents of expressions being the items to which they are so related, this still leaves considerable scope for disagreement about whether predicates refer. One of Frege's great contributions to the philosophy of language was to introduce an especially liberal conception of reference relative to which it is unproblematic to suppose (...) that predicates are referring expressions. According to this liberal conception, each significant expression in a language has its own distinctive semantic role or power, a power to effect the truth-value of the sentences in which it occurs. (shrink)

Neural correlates exist for a basic component of logical formulae, PREDICATE(x). Vision and audition research in primates and humans shows two independent neural pathways; one locates objects in body-centered space, the other attributes properties, such as colour, to objects. In vision these are the dorsal and ventral pathways. In audition, similarly separable “where” and “what” pathways exist. PREDICATE(x) is a schematic representation of the brain's integration of the two processes of delivery by the senses of the location of an arbitrary (...) referent object, mapped in parietal cortex, and analysis of the properties of the referent by perceptual subsystems. The brain computes actions using a few “deictic” variables pointing to objects. Parallels exist between such nonlinguistic variables and linguistic deictic devices. Indexicality and reference have linguistic and nonlinguistic (e.g., visual) versions, sharing the concept of attention. The individual variables of logical formulae are interpreted as corresponding to these mental variables. In computing action, the deictic variables are linked with “semantic” information about the objects, corresponding to logical predicates. Mental scene descriptions are necessary for practical tasks of primates, and preexist language phylogenetically. The type of scene descriptions used by nonhuman primates would be reused for more complex cognitive, ultimately linguistic, purposes. The provision by the brain's sensory/perceptual systems of about four variables for temporary assignment to objects, and the separate processes of perceptual categorization of the objects so identified, constitute a pre-adaptive platform on which an early system for the linguistic description of scenes developed. Key Words: argument; attention; deictic; dorsal; logic; neural; object; predicate; reference; ventral. (shrink)

Presents a series of generalizations of distributivity operators across a type hierarchy, in order to account for collective-distributive ambiguities for non-subject arguments.

The notions of part and whole play an important role for ontology and in many areas of the semantics of natural language. Both in philosophy and linguistic semantics, usually a particular notion of part structure is used, that of extensional mereology. This paper argues that such a notion is insufficient for ontology and, especially, for the semantic analysis of the relevant constructionsof natural language. What is needed for the notion of part structure,in addition to an ordering among parts, is the (...) notion of integrated whole. (shrink)

Internal relations are nothing over and above the terms of the relation.

In reply to Geach's objection against expressivism, some have claimed that there is a plurality of truth predicates. I raise a difficulty for this claim: valid inferences can involve sentences assessable by any truth predicate, corresponding to 'lightweight' truth as well as to 'heavyweight' truth. To account for this, some unique truth predicate must apply to all sentences that can appear in inferences. Mixed inferences remind us of a central platitude about truth: truth is what is preserved in valid inferences. (...) The question is why we should postulate truth predicates that do not satisfy this platitude. (shrink)

While "A needs X" often calls for supplementation by the Y X is needed for, Thomson, Wiggins and Braybrooke have argued that there is a sense of "need" for which this is unnecessary. But Gricean conventions for conversation allow us to use ellipsis in a unified account of "need" while explaining the data Thomson and Wiggins appeal to: nondetatchment of bare needs from more fully specified ones, avoidance of serious harm as a default filling of the Y-slot, and the apparent (...) normativeness of some need-statements. Their detailed discussions also undermine the utility of demarcating a sense of "fundamental" need. (shrink)

According to Quine, terms of divided reference like 'rabbit' have two sorts of problems: problems of direct and deferred ostension. Hence the reference of these terms is inscrutable. This article holds that the problems of deferred ostension can be handled by Goodman's theory of projection, and that the problems of direct ostension turn out to be pedestrian problems of signs.

THIS ARTICLE CLARIFIES A DISTINCTION MADE BY ME ELSEWHERE BETWEEN PRIMARY AND SECONDARY TESTS FOR THE APPLICATION OF A CONCEPT. IF THE PRIMARY TESTS ARE SATISFIED, THEN OF LOGICAL NECESSITY THE CONCEPT APPLIES, BUT SATISFACTION OF THE SECONDARY TESTS IS ONLY GOOD EMPIRICAL EVIDENCE FOR THE APPLICABILITY OF THE CONCEPT. THIS ARTICLE IS A REPLY TO ONE BY SLOTE (’A GENERAL SOLUTION TO GOODMAN’S RIDDLE?’ ANALYSIS, DECEMBER 1968) CHALLENGING MY EARLIER USE OF THIS DISTINCTION (’GRUE’ ANALYSIS, MARCH 1968) TO PROVIDE (...) A SOLUTION TO GOODMAN’S RIDDLE. (shrink)

IF "ALL A’S ARE B" AND "ALL A’S ARE C" ARE BOTH EQUALLY WELL SUPPORTED BY OBSERVATIONS SO FAR, YET YIELD CONFLICTING PREDICTIONS, WHICH OUGHT WE TO ADOPT? GOODMAN’S CONFLICT BETWEEN "ALL EMERALDS ARE GREEN" AND "ALL EMERALDS ARE GRUE" IS A SPECIAL CASE OF SUCH CONFLICT, WHICH MAY BE DEALT WITH BY A RULE STATING THAT WE OUGHT NOT TO PROJECT POSITIONAL IN PREFERENCE TO QUALITATIVE PREDICATES. THIS PAPER ATTEMPTS TO ELUCIDATE THE RULES GOVERNING A LARGER CLASS OF SUCH (...) CONFLICTS, IN CASES WHERE ONE PREDICATE B IS "EPISTEMOLOGICALLY PRIOR" TO ANOTHER ONE C. (shrink)

CONTRARY TO GOODMAN’S VIEW, A CLEAR DISTINCTION CAN BE MADE BETWEEN QUALITATIVE AND POSITIONAL PREDICATES. HENCE WE CAN EXPLAIN THAT WE OUGHT TO PROJECT ’GREEN’ RATHER THAN ’GRUE’ BECAUSE THE LATTER IS A POSITIONAL PREDICATE, RATHER THAN BECAUSE THE LATTER IS LESS WELL ENTRENCHED. A PREDICATE IS POSITIONAL IF, TO FIND OUT AS CERTAINLY AS WE CAN WHETHER IT APPLIES TO AN OBJECT, WE HAVE TO FIND OUT THE LATTER’S SPATIO-TEMPORAL LOCATION.

Dummett defines a ‘predicate’ as that which combines with one or more singular terms to form a sentence. His account of ‘singular term’ is syntactical, involving three necessary conditions. He discusses a fourth, ‘Aristotelian’, criterion before propounding a criterion of predicate quantification which he claims to be superior to it. He tentatively proposes that the three necessary conditions plus the criterion of predicate quantification yield sufficient conditions for being a singular term. I show that Dummett’s necessary conditions fail with regard (...) to referentially opaque contexts, negative existentials and wide-scope negations, and that he overlooks an important class of predicative expressions that satisfy his three supposedly necessary conditions for singular terms, namely, those that may appear either as adjectives or as nouns. I argue that Dummett cannot use the ‘Aristotelian’ criterion without circularity; and that, in any case, the ‘Aristotelian’ criterion fails dramatically. I also show that his criterion of predicate quantification fails with regard to expressions for colours. I end by casting doubts on the adequacy of any purely syntactical approach. (shrink)

Recently, and rather startlingly, given the history of the debate about a name's semantic content, some claim that names are in fact predicates -- predicativism. Some of predicativists claim that a name's semantic content involves the concept of being called -- calling accounts that have been traditionally meta-linguistic. However, these accounts fail to be informative. Inspired by Burge's claim that proper names are literally true of the individuals that have them, Fara develops a non-meta-linguistic concept of being called analysed in (...) terms of property attributions. I offer seven separate reasons for rejecting the account, one of which is that Fara's development of the view, at least, has implausible consequences for a theory of name acquisition. I sketch an alternative account of name acquisition that is meta-linguistic in nature, but because it is not offered as a theory of name's content, the standard worries fail to apply. In fact, I argue that an account of name acquisition must be meta-linguistic, and therefore a more nuanced conception of meta-linguistic speech acts is required. The account invokes Austin's performative-constative distinction. It analyses name acquisition as due to performative meta-linguistic speech acts. (shrink)

The nature of predication, and its relation to truth, is the central topic of Davidson’s posthumously published Truth and Predication . The main task which an account of predication should accomplish is a solution to the problem of predication; and that, Davidson tells us, is the problem of explaining what makes some collections of words, but not others, true or false (86). It is so-called because, Davidson thinks, the principal challenge faced by any answer to this problem is the problem (...) of explaining the distinctive contribution made by predicates to the truth or falsity of sentences. (shrink)