Syncretisms involving clusivity
The inclusive and exclusive are commonly considered to be kinds of the first person plural. In this chapter, I will investigate whether they deserve this name by looking at syncretisms between clusivity and other person markers. Such syncretisms are rare, but a thorough investigation has resulted in a large enough sample to allow for some conclusions. The result is that the exclusive is often syncretic with the first person singular, and can thus indeed be considered a kind of first person plural. In contrast, the inclusive cannot. Further, the often claimed link between inclusive and second person in spurious. This claim probably only arose because of selected attention for those syncretisms arguing for such a connection, but disregarding all other syncretisms that argue against it. In this survey, all possible syncretisms are considered resulting in the observation that the inclusive/second person syncretism does not occur more often than others.
Number as Person
Many European languages have two second person pronouns, one for informal and one for formal address, such as French tu and vous, respectively.1 Such pronouns pose an interesting problem for number agreement. A second person formal subject pronoun triggers plural agreement on the finite verb regardless of whether the referent is one addressee or multiple addressees. Number agreement on non-finite elements, meanwhile, corresponds to semantic number, i.e. cardinality.2 Thus when used with singular reference, such pronouns trigger mixed agreement. Examples from French and Bulgarian are given in (1) and (2).3
Points of strong summability of Fourier series
In this paper we present a new solution of Hardy and Littlewood's problem concerning strong summability of Fourier series; we also present a property of points of strong summability.