In this paper we consider Foreman’s maximality principle, which says that any non-trivial forcing notion either adds a new real or collapses some cardinals. We prove the consistency of some of its consequences. We observe that it is consistent that every c.c.c. forcing adds a real and that for every uncountable regular cardinal κ, every κ-closed forcing of size 2<κ collapses some cardinal.

A general way of representing incomplete information is to use closed and convex sets of probability distributions, which are also called credal sets. Each credal set is associated with uncertainty, whose amount is quantified by an appropriate uncertainty measure. One of the requisite properties of uncertainty measures is the property of additivity, which is associated with the concept of indep...

We extend the classical Uncertainty Principle to the context of Gelfand pairs. The Gelfand pair setting includes riemannian symmetric spaces, compact topological groups, and locally compact abelian groups. If the locally compact abelian group is Rn we recover a sharp form of the classical Heisenberg uncertainty principle. Section

number of words): 182 (max. 250) Introduction: 480 (max. 500) Discussion: 1495 (max. 1500) Number of Figures: 7 Number of Tables: 1

Uncertainty in various forms is prevalent throughout Archaeology. With archaeological site data in particular, the dating regularly has significant uncertainty. In this paper we present an application that enables integrating and visualizing the temporal uncertainty for multiple 3D archaeological data sets with different dating. We introduce a temporal time window for dealing with the uncertain...

We investigate the impact of group formations on the efficiency of Cournot games where producers face uncertainties. In particular, we study a market model where producers must determine their output before an uncertainty production capacity is realized. In contrast to standard Cournot models, we show that the game is not efficient when there are many small producers. Instead, producers tend to...

This paper is a tour of how the laws of nature can distinguish between the past and the future, or be T -violating. I argue that, in terms of basic analytic arguments, there are really just three approaches currently being explored. I show how each is characterized by a symmetry principle, which provides a template for detecting T -violating laws even without knowing the laws of physics themsel...

A general class of models is developed for analyzing games with population uncertainty. Within this general class, a special class of Poisson games is defined. It is shown that Poisson games are uniquely characterized by properties of independent actions and environmental equivalence. The general definition of equilibrium for games with population uncertainty is formulated, and it is shown that...