Online research in philosophy

This paper identifies problems with indexicalism and abverbialism about temporary intrinsic properties, and solves them by disentangling two senses in which a particular may possess a property simpliciter. The first sense is the one identified by adverbialists in which a particular possesses at all times the property as a matter of foundational metaphysical fact regardless of whether it is manifest. The second involves building on adverbialism to produce a semantics for property-manifestation according to which different members of a family of second-order properties of the foundational property are relevant to property manifestation at different times.

This paper proves that the disjunction property, the numerical existence property. Church's rule, and several other metamathematical properties hold true for Constructive Zermelo-Fraenkel Set Theory. CZF. and also for the theory CZF augmented by the Regular Extension Axiom. As regards the proof technique, it features a self-validating semantics for CZF that combines realizability for extensional set theory and truth.

The article scrutinises the semantics of canonical property designators of the forms ‘the property of being F’ and ‘F-ness’. First it is argued that, as their form suggests, the former are definite definitions, albeit of a special sort. Secondly, the prima facie plausible classification of the latter as proper names (which is often met in philosophical writings) is rejected. The semantics of such terms is developed and it is shown how its proper understanding yields important consequences about the concepts expressed by these terms.

According to Suszko's Thesis,any multi-valued semantics for a logical system can be replaced by an equivalent bivalent one. Moreover: bivalent semantics for families of logics can frequently be developed in a modular way. On the other hand bivalent semantics usually lacks the crucial property of analycity, a property which is guaranteed for the semantics of multi-valued matrices. We show that one can get both modularity and analycity by using the semantic framework of multi-valued non-deterministic matrices. We further show that for using this framework in a constructive way it is best to view "truth-values" as information carriers, or "information-values".

1. Formal semantics in linguistics -- 2. Generalized quantifier theory -- 3. The interface between syntax and semantics -- 4. Anaphora, discourse, and modality -- 5. Focus, presupposition, and negation -- 6. Tense -- 7. Questions -- 8. Plurals -- 9. Computational semantics -- 10. Lexical semantics -- 11. Semantics and related domains.

In The Dynamics of Meaning , Gennaro Chierchia tackles central issues in dynamic semantics and extends the general framework. Chapter 1 introduces the notion of dynamic semantics and discusses in detail the phenomena that have been used to motivate it, such as "donkey" sentences and adverbs of quantification. The second chapter explores in greater depth the interpretation of indefinites and issues related to presuppositions of uniqueness and the "E-type strategy." In Chapter 3, Chierchia extends the dynamic approach to the domain of syntactic theory, considering a range of empirical problems that includes backwards anaphora, reconstruction effects, and weak crossover. The final chapter develops the formal system of dynamic semantics to deal with central issues of definites and presupposition. Chierchia shows that an approach based on a principled enrichment of the mechanisms dealing with meaning is to be preferred on empirical grounds over approaches that depend on an enrichment of the syntactic apparatus. Dynamics of Meaning illustrates how seemingly abstract stances on the nature of meaning can have significant and far-reaching linguistic consequences, leading to the detection of new facts and influencing our understanding of the syntax/semantics/pragmatics interface.

If properties are to play a useful role in semantics, it is hard to avoid assuming the naïve theory of properties: for any predicate Θ(x), there is a property such that an object o has it if and only if Θ(o). Yet this appears to lead to various paradoxes. I show that no paradoxes arise as long as the logic is weakened appropriately; the main difficulty is finding a semantics that can handle a conditional obeying reasonable laws without engendering paradox. I employ a semantics which is infinite-valued, with the values only partially ordered. Can the solution be adapted to naïve set theory? Probably not, but limiting naïve comprehension in set theory is perfectly satisfactory, whereas this is not so in a property theory used for semantics.