On Distributivity and Pluractionality

Distributive Numerals in Tlingit: Pluractionality and Distributivity

Weak Distributivity implying Distributivity

Let B be a complete Boolean algebra. We show that if λ is an infinite cardinal and B is weakly (λ, ω)-distributive, then B is (λ, 2)-distributive. Using a similar argument, we show that if κ is a weakly compact cardinal such that B is weakly (2, κ)distributive and B is (α, 2)-distributive for each α < κ, then B is (κ, 2)-distributive.

Pluractionality and the Unity of the Event

This paper exposes shortcomings of an analysis to singleevent plural verbs (Cusic’s event-internal pluractionals) based on temporal discontinuity. It shows how to ground discontinuity on the participant used to measure out the event, by forcing breaches in the property of Mapping-to-SubObject that its theta role should have. This provides an explanation for why phases cannot be described by the...

On pseudoisomorphy and distributivity of quasigroups

A repeated bijection in an isotopism of quasigroups is called a companion of the third component. The last is called a pseudoisomorphism with the companion. Isotopy coincides with pseudoisomorphy∗ in the class of inverse property loops and with isomorphy in the class of commutative inverse property loops. This result is a generalization of the corresponding theorem for commutative Moufang loops...

Distributivity and Dependency

Sentences with multiple occurrences of plural definites give rise to certain effects suggesting that distributivity should be modeled by polyadic operations. Yet, in this paper it is argued that the simpler treatment of distributivity using unary universal quantification should be retained. Seemingly polyadic effects are claimed to be restricted to definite NPs. This fact is accounted for by th...