THE NEW WORLD (DIS)ORDER AND THE CONFLICTS EVOLUTION

The World Order is a concept in constant mutation that has lost a lot of what characterized it when it was established with the Peace of Westphalia. The conflicts also went through changes. They lost its State distinctiveness and became dispersed and chaotic due to multipolarization. These two concepts share some connections and both dissociated from their traditional definition. This paper aims to establish a connection between the contemporary World Order and the conflicts evolution. The threats to the stability of the World Order contribute to the current disorder and reflects how the conflicts distanced themselves from the clausewitzian battles. To understand how these threats impact the World Order stability and evince the conflicts evolution two cases of study were selected: the nuclear proliferation in Iran and the crisis in Ukraine. These two examples will help establishing the link between the contemporary World Disorder and the conflicts evolution.

On lattices from combinatorial game theory modularity and a representation theorem: Finite case

We show that a self-generated set of combinatorial games, S, may not be hereditarily closed but, strong self-generation and hereditary closure are equivalent in the universe of short games. In [13], the question “Is there a set which will give an on-distributive but modular lattice?” appears. A useful necessary condition for the existence of a finite non-distributive modular L(S) is proved. We show the existence of S such that L(S) is modular and not distributive, exhibiting the first known example. More, we prove a Representation Theorem with Games that allows the generation of all finite lattices in game context. Finally, a computational tool for drawing lattices of games is presented.