Russell’s type theory has been the standard property theory for years, relying on rigid type distinctions at the grammatical level to circumvent the paradoxes of predication. In recent years it has been convincingly argued by Bealer, Cochiarella, Turner and others that many linguistic and ontological data are best accounted for by using a type-free property theory. In the spirit of exploring alternatives and “to have as many opportunities as possible for theory comparison”, this paper presents another type-free property theory, to (...) be called P*, intended for applications in Montague-style natural language semantics and formal ontology. The theory is philosophically grounded on Gupta’s and Belnap’s revision theory of definitions and its basic idea is viewing predication (exemplification) as a ‘circular concept’ that can be captured by circular definitions. The paper has the following fourteen sections: (1) Introduction; (2) Formal type-free property theory; (3) Applying RTD [revision theory of definitions] to exemplification; (4) The system P*; (5) Some features of P*; (6) A comparison with Turner’s system; (7) Entailment and P*; (8) P* and natural language semantics; (9) Noun phrases; (10) The need for type-freedom in semantics; (11) Arithmetic in P*; (12) Arithmetic in PN*; (13) Complexity of P*; (14) Conclusion, and acknowledgments. (shrink)

There are many data suggesting that we should acknowledge fictional entities in our ontological inventory, in spite of the paraphrasing strategies that Russell’s theory of descriptions can offer. Thus the realist attitude toward fictional entities of Meinongian and artifactualist accounts may seem well-motivated. Yet, these approaches infringe the Russellian “robust sense of reality.” A different realist account is proposed here, one that is compatible with the Russellian “robust sense of reality” in that it identifies fictional entities with denoting concepts, understood (...) as properties of properties. (shrink)

Konolige''s technical notion of belief based on deduction structures is briefly reviewed and its usefulness for the design of artificial agents with limited representational and deductive capacities is pointed out. The design of artificial agents with more sophisticated representational and deductive capacities is then taken into account. Extended representational capacities require in the first place a solution to the intensional context problems. As an alternative to Konolige''s modal first-order language, an approach based on type-free property theory is proposed. It considers (...) often neglected issues, such as the need for a more general account of thede dicto-de re distinction, and quasi-indicators. Extended deductive capacities require a subdivision of Konolige''s notion of belief into two distinct technical notions,potential anddispositional belief. The former has to do with what an artificial agent could in principle come to actively believe, given enough time and its specific logical competence; the latter with what an agent can be assumed to believe with respect to a specific goal to be fulfilled. (shrink)

In this paper, I argue that the theory of mental files can provide a unitary cognitive account of how names and singular terms work in fiction. I will suggest that the crucial notion we need is not the one of regular file, i.e., a file whose function is to accumulate information that we take to be about a single object of the outside world, but the notion of indexed file, i.e., a file that stands, in the subject’s mind, for another (...) subject’s file about an object. When we read a novel containing the name of an individual, we acquire (fictional) information about that individual and we store those pieces of information into an indexed file. If the name also refers to a real individual outside the context of fiction, the indexed file is linked with the pre-existing regular file that we have about such individual. Otherwise, the indexed file is linked to a regular file referring to an abstract object, namely the fictional entity itself. (shrink)

It is shown that two formally consistent type-free second-order systems, due to Cocchiarella, and based on the notion of homogeneous stratification, are subject to a contingent version of Russell's paradox.

In this paper, I will claim that fictional works apparently about utterly immigrant objects, i.e., real individuals imported in fiction from reality, are instead about fictional individuals that intentionally resemble those real individuals in a significant manner: fictional surrogates of such individuals. Since I also share the realists’ conviction that the remaining fictional works concern native characters, i.e., full-fledged fictional individuals that originate in fiction itself, I will here defend a hyperrealist position according to which fictional works only concern fictional (...) individuals. (shrink)

Castañeda’s guise theory is a peculiarly interesting Neo-Meinongian approach, in virtue of its bundle-theoretic and anti-representationalist features. But it also has some problematic aspects. It crucially relies on a series of sameness relations, such as consubstantiation or consociation, but this list is incomplete. Moreover, guise theory is hindered by its view of the sameness relations as forms of predication alternative to what may be called, following Plantinga, standard predication. This paper thus proposes a revised version of guise theory that acknowledges (...) two additional sameness relations and standard predication. (shrink)