PG (Plural Grundgesetze) is a predicative monadic second-order system which is aimed to derive second-order Peano arithmetic. It exploits the notion of plural quantification and a few Fregean devices, among which the infamous Basic Law V. In this paper, a model-theoretical consistency proof for the system PG is provided.

No event reading Event reading No agent-oriented modifiers Agent-oriented modifiers Subjects are possessives subjects are arguments by phrases are non-arguments by phrases are arguments No implicit argument control Implicit argument control No aspectual modifiers Aspectual modifiers Modifiers like frequent, constant only with plural Modifiers like frequent, constant appear with singular May be ...

Plural globalizations refer to large-scale processes occurring today at an accelerated pace (due to information and communication technologies) and with extremely uneven effects (due to continuing and new inequalities). Conventional analytical and disciplinary frameworks can neither make adequate sense of, nor effectively politicize, these developments. The quantitatively large scales and quali...

Sentences that involve two or more plural expressions, such as numerical expressions, give rise to systematic ambiguities. For example, the sentence Two boys have three balloons can either mean that there are two boys who, between them, have three balloons (cumulative reading) or that there are two boys who each have three balloons (distributive reading). In this paper, we report the results of...

This paper considers the underspecification of distributive and collective readings of plural NPs in Discourse Representation Theory (Kamp and Reyle 1993) and Head-Driven Phrase Structure Grammar (Pollard and Sag 1994). We address some shortcomings in previous approaches in the underspecification literature, namely issues related to the assumption that plural NPs are semantically ambiguous betw...