Off-campus access
Using PhilPapers from home?
Click here to configure this browser for off-campus access.
- Nino B. Cocchiarella (2005). Denoting Concepts, Reference, and the Logic of Names, Classes as Many, Groups, and Plurals? Linguistics and Philosophy 28 (2):135 - 179.Bertrand Russell introduced several novel ideas in his 1903 Principles of Mathematics that he later gave up and never went back to in his subsequent work. Two of these are the related notions of denoting concepts and classes as many. In this paper we reconstruct each of these notions in the framework of conceptual realism and connect them through a logic of names that encompasses both proper and common names, and among the latter, complex as well as simple common names. Names, proper or common, and simple or complex, occur as parts of quantifier phrases, which in conceptual realism stand for referential concepts, i.e., cognitive capacities that inform our speech and mental acts with a referential nature and account for the intentionality, or directedness, of those acts. In Russell’s theory, quantifier phrases express denoting concepts (which do not include proper names). In conceptual realism, names, as well as predicates, can be nominalized and allowed to occur as "singular terms", i.e., as arguments of predicates. Occurring as a singular term, a name denotes, if it denotes at all, a class as many, where, as in Russell’s theory, a class as many of one object is identical with that one object, and a class as many of more than one object is a plurality, i.e., a plural object that we call a group. Also, as in Russell’s theory, there is no empty class as many. When nominalized, proper names function as "singular terms" just the way they do in so-called free logic. Leśniewski’s ontology, which is also called a logic of names can be completely interpreted within this conceptualist framework, and the well-known oddities of Leśniewski’s system are shown not to be odd at all when his system is so interpreted. Finally, we show how the pluralities, or groups, of the logic of classes as many can be used as the semantic basis of plural reference and predication. We explain in this way Russell’s "fundamental doctrine upon which all rests", i.e., "the doctrine that the subject of a proposition may be plural, and that such plural subjects are what is meant by classes [as many] which have more than one term" (Russell 1938, p. 517).Reading list | Discuss | Edit | Categorize |My bibliography
| Export citation | Other links: jstor.org | Scholar | At my library 
Similar books and articles
Frege's and Russell's views are obviously different, but because of certain superficial similarities in how they handle certain famous puzzles about proper names, they are often assimilated. Where proper names are concerned, both Frege and Russell are often described together as "descriptivists." But their views are fundamentally different. To see that, let's look at the puzzle of names without bearers, as it arises in the context of Mill's purely referential theory of proper names, aka the 'Fido'-Fido theory.
Reading list
| Discuss | Edit | Categorize | My bibliography | Export citation | Scholar | More options ...
| | Scholar | More options ... Russell’s new theory of denoting phrases introduced in “On Denoting” in Mind 1905 is now a paradigm of analytic philosophy. The main argument for Russell’s new theory is the so-called ‘Gray’s Elegy’ argument, which purports to show that the theory of denoting concepts (analogous to Frege’s theory of senses) promoted by Russell in the 1903 Principles of Mathematics is incoherent. The ‘Gray’s Elegy’ argument rests on the premise that if a denoting concept occurs in a proposition, then the proposition is not about the concept. I argue that the premise is false. The ‘Gray’s Elegy’ argument does not exhaust Russell’s ammunition against the theory of denoting concepts. Another reason Russell rejects the theory is, as he says, that it cannot provide an adequate account of non-uniquely denoting concepts. In the last section of the paper, I argue that even though Russell was right in thinking that the theory of denoting concepts cannot provide an adequate account of non-uniquely denoting concepts, Russell’s new theory does not succeed in eliminating the occurrence of all denoting concepts, as it requires a commitment to the existence of variables that indirectly denote their values. However, the view that variables are denoting concepts is unproblematic once the ‘Gray’s Elegy’ argument is blocked.
Reading list
| Discuss | Edit | Categorize | My bibliography | Export citation | Other links: umsl.edu brogaardb.googlepages.com springerlink.com sites.google.com jstor.org | Scholar | At my library | More options ...
| | Other links: umsl.edu brogaardb.googlepages.com springerlink.com sites.google.com jstor.org | Scholar | At my library | More options ... In this paper I argue that names are predicates when they occur in the appellation position of 'called'-predications. This includes not only proper names, but all names -- including quote-names of proper names and quote-names of other words or phrases. Thus in "You can call me Al", the proper name 'Al' is a predicate. And in "You can call me 'Al'," the quote-name of 'Al' -- namely ' 'Al' ' -- is also a predicate.
Reading list
| Discuss | Edit | Categorize | My bibliography | Export citation | Other links: analysis.oxfordjournals.org dx.doi.org | Scholar | At my library | More options ...
| | Other links: analysis.oxfordjournals.org dx.doi.org | Scholar | At my library | More options ... It is argued that, contrary to appearances, description-names (e.g.: The Roman Empire, The Beatles, The Holy Virgin,...) do conform to Millianism, i.e. the view that proper names are directly referential expressions, referring regardless of whether the relevant individual satisfies some associated description or not. However, description-names name and describe. Some arguments supporting this peculiarity and a logic to handle description-names are proposed. It will be shown that the best framework with which to accommodate description-names is a multiple-proposition theory, according to which a given utterance may express several propositions.
Reading list
| Discuss | Edit | Categorize | My bibliography | Export citation | Other links: springerlink.com dx.doi.org http-server.carleton.ca jstor.org | Scholar | At my library | More options ...
| | Other links: springerlink.com dx.doi.org http-server.carleton.ca jstor.org | Scholar | At my library | More options ... The difference between common and proper names seems to derive from specific semantic characteristics of proper names. In particular, proper names refer to specific individual entities or events, and unlike common names, rarely map onto more general semantic characteristics (attributes, concepts, categories). This fact makes the link proper names have with their reference particularly fragile. Processing proper names seems, as a consequence, to require special cognitive and neural resources. Neuropsychological findings show that proper names and common names follow functionally distinct processing pathways. These pathways are neurally distinct and differently sensitive to focal or generalized brain damage, cognitive changes with age or lack of organic resources. Their precise location, depending on specific tasks, is still partly unknown.
Reading list
| Discuss | Edit | Categorize | My bibliography | Export citation | Other links: blackwell-synergy.com dx.doi.org | Scholar | At my library | More options ...
| | Other links: blackwell-synergy.com dx.doi.org | Scholar | At my library | More options ... The problematic features of Quine's set theories NF and ML are a result of his replacing the higher-order predicate logic of type theory by a first-order logic of membership, and can be resolved by returning to a second-order logic of predication with nominalized predicates as abstract singular terms. We adopt a modified Fregean position called conceptual realism in which the concepts (unsaturated cognitive structures) that predicates stand for are distinguished from the extensions (or intensions) that their nominalizations denote as singular terms. We argue against Quine's view that predicate quantifiers can be given a referential interpretation only if the entities predicates stand for on such an interpretation are the same as the classes (assuming extensionality) that nominalized predicates denote as singular terms. Quine's alternative of giving predicate quantifiers only a substitutional interpretation is compared with a constructive version of conceptual realism, which with a logic of nominalized predicates is compared with Quine's description of conceptualism as a ramified theory of classes. We argue against Quine's implicit assumption that conceptualism cannot account for impredicative concept-formation and compare holistic conceptual realism with Quine's class Platonism.
Reading list
| Discuss | Edit | Categorize | My bibliography | Export citation | Other links: jstor.org | Scholar | At my library | More options ...
| | Other links: jstor.org | Scholar | At my library | More options ... As a class of terms and mental representations, proper names and mental names possess an important function that outstrips their semantic and psycho-semantic functions as common, rigid devices of direct reference and singular mental representations of their referents, respectively. They also function as abstract linguistic markers that signal and underscore their referents' individuality. I promote this thesis to explain why we give proper names to certain particulars, but not others; to account for the transfer of singular thought via communication with proper names; and, more generally, to support a cognitivist, not acquaintance or instrumentalist, theory of singular thought.
Reading list
| Discuss | Edit | Categorize | My bibliography | Export citation | Other links: blackwell-synergy.com dx.doi.org | Scholar | At my library | More options ...
| | Other links: blackwell-synergy.com dx.doi.org | Scholar | At my library | More options ... Conceptual realism begins with a conceptualist theory of the nexus of predication in our speech and mental acts, a theory that explains the unity of those acts in terms of their referential and predicable aspects. This theory also contains as an integral part an intensional realism based on predicate nominalization and a reflexive abstraction in which the intensional contents of our concepts are object -ified, and by which an analysis of predication with intensional verbs can be given. Through a second nominalization of the common names that are part of conceptual realism’s theory of reference (via quantifier phrases), the theory also accounts for both plural reference and predication and mass noun reference and predication. Finally, a separate nexus of predication based on natural kinds and the natural properties and relations nomologically related to those natural kinds, is also an integral part of the framework of conceptual realism.
Reading list
| Discuss | Edit | Categorize | My bibliography | Export citation | Other links: dx.doi.org | Scholar | At my library | More options ...
| | Other links: dx.doi.org | Scholar | At my library | More options ... A conceptual theory of the referential and predicable concepts used in basic speech and mental acts is described in which singular and general, complex and simple, and pronominal and nonpronominal, referential concepts are given a uniform account. The theory includes an intensional realism in which the intensional contents of predicable and referential concepts are represented through nominalized forms of the predicate and quantifier phrases that stand for those concepts. A central part of the theory distinguishes between active and deactivated referential concepts, where the latter are represented by nominalized quantifier phrases that occur as parts of complex predicates. Peter Geach's arguments against theories of general reference in Reference and Generality are used as a foil to test the adequacy of the theory. Geach's arguments are shown to either beg the question of general as opposed to singular reference or to be inapplicable because of the distinction between active and deactivated referential concepts.
No categories
Reading list
| Discuss | Edit | Categorize | My bibliography | Export citation | Other links: springerlink.com dx.doi.org jstor.org | Scholar | At my library | More options ...
| | Other links: springerlink.com dx.doi.org jstor.org | Scholar | At my library | More options ... The notion of a "class as many" was central to Bertrand Russell''s early form of logicism in his 1903 Principles of Mathematics. There is no empty class in this sense, and the singleton of an urelement (or atom in our reconstruction) is identical with that urelement. Also, classes with more than one member are merely pluralities — or what are sometimes called "plural objects" — and cannot as such be themselves members of classes. Russell did not formally develop this notion of a class but used it only informally. In what follows, we give a formal, logical reconstruction of the logic of classes as many as pluralities (or plural objects) within a fragment of the framework of conceptual realism. We also take groups to be classes as many with two or more members and show how groups provide a semantics for plural quantifier phrases.
Reading list
| Discuss | Edit | Categorize | My bibliography | Export citation | Other links: springerlink.com dx.doi.org jstor.org | Scholar | At my library | More options ...
| | Other links: springerlink.com dx.doi.org jstor.org | Scholar | At my library | More options ... Discussion of Nino B. Cocchiarella, Denoting concepts, reference, and the logic of names, classes as many, groups, and plurals?
 Back
All discussions
Start a new thread
|
There are no threads in this forum |
Nothing in this forum yet.
