David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Linguistics and Philosophy 28 (2):135 - 179 (2005)
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).
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
Nino Cocchiarella (2009). Mass Nouns in a Logic of Classes as Many. Journal of Philosophical Logic 38 (3):343 - 361.
Similar books and articles
B. Brogaard (2006). The 'Gray's Elegy' Argument, and the Prospects for the Theory of Denoting Concepts. Synthese 152 (1):47 - 79.
Delia Graff Fara (2011). You Can Call Me 'Stupid', ... Just Don't Call Me Stupid. Analysis 71 (3):492-501.
Eros Corazza (2002). Description-Names. Journal of Philosophical Logic 31 (4):313-325.
Carlo Semenza (2009). The Neuropsychology of Proper Names. Mind and Language 24 (4):347-369.
Nino Cocchiarella (1992). Conceptual Realism Versus Quine on Classes and Higher-Order Logic. Synthese 90 (3):379 - 436.
Robin Jeshion (2009). The Significance of Names. Mind and Language 24 (4):370-403.
Nino Cocchiarella (2013). Predication in Conceptual Realism. Axiomathes 23 (2):301-321.
Nino Cocchiarella (1998). Reference in Conceptual Realism. Synthese 114 (2):169-202.
Nino Cocchiarella (2002). On the Logic of Classes as Many. Studia Logica 70 (3):303-338.
Added to index2009-01-28
Total downloads47 ( #49,779 of 1,696,464 )
Recent downloads (6 months)9 ( #62,484 of 1,696,464 )
How can I increase my downloads?