Let ${\beta(\mathbb{N})}$ denote the Stone–Čech compactification of the set ${\mathbb{N}}$ of natural numbers (with the discrete topology), and let ${\mathbb{N}^\ast}$ denote the remainder ${\beta(\mathbb{N})-\mathbb{N}}$ . We show that, interpreting modal diamond as the closure in a topological space, the modal logic of ${\mathbb{N}^\ast}$ is S4 and that the modal logic of ${\beta(\mathbb{N})}$ is S4.1.2.

We discuss issues related to constructing an orthomodular structure from an object in a category. In particular, we consider axiomatics related to Baer *-semigroups, partial semigroups, and various constructions involving dagger categories, kernels, and biproducts.

For $\Bbb {F}$ the field of real or complex numbers, let $CG(\Bbb {F})$ be the continuous geometry constructed by von Neumann as a limit of finite dimensional projective geometries over $\Bbb {F}$ . Our purpose here is to show the equational theory of $CG(\Bbb {F})$ is decidable.

When Sasaki Sokei-an founded his First Zen Institute of North America in 1930 he suggested that bringing Zen Buddhism to America was like "holding a lotus against a rock and waiting for it to set down roots." Today, Buddhism is part of the cultural and religious mainstream. Flowers on the Rock examines the dramatic growth of Buddhism in Canada and questions some of the underlying assumptions about how this tradition has changed in the West. Using historical, ethnographic, and biographical approaches, (...) contributors illuminate local expressions of Buddhism found throughout Canada and relate the growth of Buddhism in Canada to global networks. A global perspective allows the volume to overcome the stereotype that Asia and the West are in opposition to each other and recognizes the continuities between Buddhist movements in Asia and the West that are shaped by the same influences of modernity and globalization. Flowers on the Rock studies the fascinating and ingenious changes, inflections, and adaptations that Buddhists make when they set down roots in a local culture. It is essential reading for anyone interested in Buddhism, religious life in Canada, and the broader issues of multiculturalism and immigration. Contributors include Michihiro Ama, D. Mitra Barua, Paul Crowe, Melissa Anne-Marie Curley, Mavis Fenn, Kory Goldberg, Sarah F. Haynes, Jackie Larm, Paul McIvor, James Placzek, and Angela Sumegi. (shrink)