Let ${\mathbb{B}}$ and ${\mathbb{C}}$ be Boolean algebras and ${e: \mathbb{B}\rightarrow \mathbb{C}}$ an embedding. We examine the hierarchy of ideals on ${\mathbb{C}}$ for which ${ \bar{e}: \mathbb{B}\rightarrow \mathbb{C} / \fancyscript{I}}$ is a regular (i.e. complete) embedding. As an application we deal with the interrelationship between ${\fancyscript{P}(\omega)/{{\rm fin}}}$ in the ground model and in its extension. If M is an extension of V containing a new subset of ω, then in M there is an almost disjoint refinement of the family ([ω]ω) V (...) . Moreover, there is, in M, exactly one ideal ${\fancyscript{I}}$ on ω such that ${(\fancyscript{P}(\omega)/{{\rm fin}})^V}$ is a dense subalgebra of ${(\fancyscript{P}(\omega)/\fancyscript{I})^M}$ if and only if M does not contain an independent (splitting) real. We show that for a generic extension V[G], the canonical embedding $$\fancyscript{P}^V(\omega){/}{\rm fin}\hookrightarrow \fancyscript{P}(\omega){/}(U(Os)(\mathbb{B}))^G$$ is a regular one, where ${U(Os)(\mathbb{B})}$ is the Urysohn closure of the zero-convergence structure on ${\mathbb{B}}$. (shrink)

We show that in a dilute gas the wave function’s spreading is limited by scattering off other particles. This shows that quantum mechanics can be consistent with the kinetic theory of gases.

The liberal and democratic political order is underpinned by universal principles of justice. However, the universality of these principles is now being questioned and undermined by challenges from postmodernism, communitarianism, multiculturalism and other forms of anti-foundationalism. These challenges highlight the sheer diversity of cultures and values, treating liberal values and democratic political culture as one idea of social organization amongst many. While social and political orders are capable of almost endless variation, it may be that not every diverse order is (...) legitimate and we can justifiably regard some forms of social organization as beyond the pale and a 'thin' form of universalism has been developed to support this contention. The core idea behind 'thin universalism' is that it is possible to rehabilitate the universalist aspirations of normative theory while acknowledging the force of many antifoundationalist and multiculturalist criticisms of universalism. This book brings together prominent international political theorists to explain and discuss this contested concept and explore how we can stand up for and act upon principles in a world characterized by cultural difference, moral skepticism, and political division. The authors present a variety of perspectives: some chapters are sympathetic to the idea of a thin universalist account of justification, some are reluctant advocates and others are skeptical about its success or even desirability. Opening out core debates in contemporary normative theory, this volume will be of great interest to researchers and scholars working in the fields of contemporary political theory, political philosophy and IR theory. (shrink)

Burgess, J.P. and Rosen, G. Subject with No ObjectElliott, R.Faking Nature.