Francesco Orilia

I shall explain the notions of propositions and states of affairs as they are understood in the current ontological debate and I shall briefly relate them to similar notions in Aristotle and some Medieval authors. In contrast with the point of view of some philosophers who identify propositions and states of affairs, I shall argue that they need to be sharply distinguished. I shall then move on to a problem for propositions and, above all, states of affairs, known as Bradley’s regress, and hint at discussions of this or analogous puzzles in the philosophical tradition before Bradley. Finally, I shall present my own approach to this issue, Fact Infinitism, focusing on why it would have been hardly acceptable before ontology came to have the Cantorian conception of the infinite at its disposal

According to the received view, descriptivism is a dead end in an attempt to account for singular reference by proper names, indexicals and possibly even incomplete descriptions, for they require referentialism. In contrast to this, I argue for an application of the former to all kinds of singular terms, indexicals in particular, by relying on a view of incomplete descriptions as elliptical in a pragmatic sense. I thus provide a general analysis of singular reference. The proposed approach is in line with the classical theory of propositions, except for admitting “private” ones with subjective mental entities as constituents. On the other hand, there is no commitment to singular Russellian propositions with ordinary objects as constituents and in general to meanings that cannot be “in the mind”

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.

Dynamic events such as a rolling ball moving from one place to another involve change and time intervals and thus presumably successions of static events occurring one after the other, e.g., the ball’s being at a certain place and then at another place during the interval in question. When dynamic events are experienced they should count as present and thus as existent from a presentist point of view. But this seems to imply the existence of the static events involved in them. This in turn seems to imply that there exist past and perhaps even future static events. Therefore, there is a problem for presentism. A possible way out for the presentist is proposed, based on allowing for time-indexed past-oriented and future-oriented properties. One may raise objections regarding the ontological status of these properties and the commitment to past and future objects and times that they seem to bring with them, but these objections can be put to rest.

This paper examines the challenge that the argument known as "Bradley's regress" poses to the friends of states of affairs (facts), in its requesting an explanation of the existence of a fact as a unitary whole in addition to its constituents. All the main theoretical options, short of denying that there are facts, are considered. It is argued that only two of them are viable, namely a "Brute fact approach", according to which the existence of a fact cannot be explained with the typical tools of ontologists, and "Fact infinitism", according to which, for any given fact, one should posit for explanatory purposes an infinite number of distinct states of affairs involving exemplification relations of higher and higher levels. Fact infinitism is defended against various objections and it is suggested that it should be preferred to the brute fact approach by those who are not too shy in vindicating for ontology a role, alongside with the empirical sciences, in the task of postulating entities in order to achieve explanations.

I assume that the task of natural language semantics is to provide an unambiguous logical language into which natural language can be translated in such a way that the translating expressions display a structure which is isomorphic to the meaning of the translated expressions. Since language is a means of thinking and communicating mental contents, the meanings of singular terms cannot be the individuals of the substratist tradition, because such individuals are not cognizable entities. Thus I propose that the logical language be based on Castaneda's guise theory, according to which singular terms always denote guises, i.e., roughly, bundles of properties. This, I argue, would result in a semantics which is in accordance with projects such as Lakoff's natural logic or Fodor's methodological solipsism. ;I first propose a formal system, GCC, which tries to be as faithful as possible to Castaneda's informal presentation of guise theory. It is therefore characterized by different forms of predication and a distinction between a level of property composition and a level of proposition composition. Such a distinction is dropped in a second system, GF, which presents a more traditional Fregean representation of predication. Yet, GF endorses essential assumptions of guise theory such as the existence of different sameness relations that can provide various interpretations for the English "is". I claim that GF provides more theoretical simplicity than GCC. ;Finally, I show the fruitfulness of the present approach by applying GF to a vast collection of linguistico-philosophical puzzles which includes but is not restricted to those that guise theory was originally designed to address: various versions of Frege's paradox, the paradox of analysis, Quine's puzzle on the number of planets, issues of reidentification and intentional identity, the anaphoric "it" of sentences such as "the lizard's tail fell off but then it grew back," problems connected with the use of "knowing-who ," proper names, indexicals and demonstratives