We investigate computability theoretic and topological properties of spaces of orders on computable orderable groups. A left order on a group G is a linear order of the domain of G, which is left-invariant under the group operation. Right orders and bi-orders are defined similarly. In particular, we study groups for which the spaces of left orders are homeomorphic to the Cantor set, and their Turing degree spectra contain certain upper cones of degrees. Our approach unifies and extends Sikora’s [28] (...) investigation of orders on groups in topology and Solomon’s [31] investigation of these orders in computable algebra. Furthermore, we establish that a computable free group Fn of rank n>1 has a bi-order in every Turing degree. (shrink)

The fundamental features of the non-fregean logic (formulated both in structural and in invariant version) are discussed. The difference between two notions introduced by Suszko in his article Reification of Situations is analyzed : semantic homomorphism (projection of the set of sentences of a given language into the universe of situations) and of reification of situations (projection of the universe of situations into the universe of events).

Drug abuse is a growing social problem in Poland and is a particularly serious problem in the Military. The conditions of military service may be a factor that stimulates drug addiction among soldiers, particularly those who are psychically and physically weak and not adapted to team work. The psychical stress that results from the abrupt breaking of existing bonds and social relationships (family, colleagues, partners) is intensified by spatial limits (military barracks), and the character of military units (personal freedom limitation). (...) Another important aspect is, natural in this situation, access to weapons and the nature of tasks performed by a modern army. Yet the army continues to recruit young people who are physically and mentally weaker and weaker. In face of this problem, the commanders, supervisors and teachers are required to possess not only psychological and pedagogical knowledge, but also ethical and moral awareness. The article is based on empirical results of the test conducted in 2007 among 100 conscription soldiers of the Lublin Garrison of the Polish Army. (shrink)

Relations between Australia and the United States have developed for long time notably during World War II. Over the following decades, cooperation has become more intense as Australians adopt many cultural patterns from the Americans. Australia declared and supported US presidents in military operations, which is why some have called Australia, America’s sheriff for working to stabilize this part of the world. One cannot overlook the personal arrangements between leaders that help shape the dynamic of deepening the mutual relations these (...) two nations. Donald Trump’s personal interactions’ with the Prime Ministers of Australia play a significant role in this regard. (shrink)

We try to define the essential features of the Fregean paradigm. Then we demonstrate that Suszko's non-fregean logic, Wolniewicz's ontology of situation and Barwise-Perry's situational semantics go meaningfully beyond the fregean paradigm: what is presupposed in all of these theories is that as semantic correlates of sentences serve certain objects which are not logical values of these sentences.