This article is devoted to two different generalizations of projective Boolean algebras: openly generated Boolean algebras and tightly σ-filtered Boolean algebras. We show that for every uncountable regular cardinal κ there are 2 pairwise non-isomorphic openly generated Boolean algebras of size κ > א1 provided there is an almost free non-free abelian group of size κ. The openly generated Boolea...

A hyperbolic bration is set of q ?1 hyperbolic quadrics and two lines which together partition the points of PG(3; q). The classical example of a hyperbolic bration comes from a pencil of quadrics; however, several other families are known. In this paper we construct a new family of hyperbolic brations for odd prime powers q. As an application of hyperbolic brations, we note that they can be us...

Contents 1 Integrability in classical mechanics 4 1.

Just War Theory can be found in almost all major cultures. But since war was a business that could not be easily stopped, some aimed to constrain it. In its classic form, Just War Theory has been around for several centuries—ever since nationhood in Europe replaced provincial governments. Having made some introductory considerations, I will ask: should Just War Theory be left as it is, changed,...

This paper provides a unified solution to two puzzles involving vagueness and scalar adjectives of the absolute lexical class (ex. bald, empty, straight etc.). The first puzzle concerns the proper analysis of the relationship between contextual effects associated with absolute adjectives and those associated with relative adjectives like tall, long or expensive. The dominant view in philosophy ...