What is quantum logic?

The paper describes in detail the procedure of identification of the inner language and an inner logico of a physical theory. The procedure is a generalization of the original ideas of J. von Neuman and G. Birkhoff about quantum logic.     

A note on the system of propositional calculus with primitive rule of extensionality

Summary The present paper deals with a systemS of propositional calculus, conjunction, equivalence and falsum being its primitive terms. The only primitive rule inS is the rule of extensionality defined by the scheme:      

Second order propositional operators over cantor space

We consider propositional operators defined by propositional quantification in intuitionistic logic. More specifically, we investigate the propositional operators of the formA* :p q(p A(q)) whereA(q) is one of the following formulae: (¬¬q q) V ¬¬q, (¬¬q q) (¬¬q V ¬q), ((¬¬q q) (¬¬q V ¬q)) ((¬¬q q) V ¬¬q). The equivalence ofA*(p) to ¬¬p is proved over the standard topological interpretation of intuitionistic second order propositional logic over Cantor space.We relate topological interpretations of second order intuitionistic propositional logic over Cantor space with the interpretation of propositional quantifiers (as the strongest and weakest interpolant in Heyting calculus) suggested by A. Pitts. One of the merits of Pitts' interpretation is shown to be valid for the interpretation over Cantor space.Presented byJan Zygmunt     

On P-compatible hybrid identities and hyperidentities

P-compatible identities are built up from terms with a special structure. We investigate a variety defined by a set ofP-compatible hybrid identities and answer the question whether a variety defined by a set ofP-compatible hyperidentities can be solid.Presented byJan Zygmunt;     

Obedience to authorities is not unconditional: Differential effects of COVID-19 threat on three facets of RWA in Poland and Germany

Collective authoritarian responses to threat might differ depending on whether people trust collective authorities in reducing threat. Thus, we tested the differential effects of epidemic threat on three facets of right-wing authoritarianism, in Germany (a country with high authorities' efficacy in responses to COVID-19) and Poland (low authorities' efficacy context). Two representative sample longitudinal studies performed in Poland (N = 892) and Germany (N = 883) showed that in Germany feelings of COVID-19 threat explained increases in authoritarian submission and (to a lesser extent) authoritarian aggression, whereas in Poland such feelings of threat explained changes in authoritarian aggression and conventionalism after the pandemic, but did not alter authoritarian submission. These findings suggest that specific authoritarian reactions to threat (submissive vs. conventionalist) might depend on the general trust in authorities' ability to respond to crises.     

Grandiose and Vulnerable Narcissism,Materialism, Money Attitudes,and Consumption Preferences

Narcissism is increasingly being investigated in the context of consumer attitudes and behavior. Previous research showed that narcissism is reflected in materialistic tendencies and money-related attitudes. However, almost all of these studies concerned the grandiose type of narcissism. We examined relationships of both grandiose and vulnerable narcissism with materialism, money attitudes, and consumption preferences in a nonstudent sample. The results showed that the two types of narcissism are equally associated with materialism and a tendency to conspicuous (public) consumption. Differences between grandiose and vulnerable narcissism with regard to money attitudes were observed. Materialism mediated most of the relationships between narcissism, money attitudes, and consumption preferences, but the patterns of mediation were different for grandiose and vulnerable subtypes. Mutual suppression occurred when grandiose narcissism and materialism predicted anxiety associated with money and when vulnerable narcissism and materialism predicted money perceived as a source of evil. The results suggested that not only grandiose, but also vulnerable narcissists may be prone to excessive consumption and that this can be explained by their materialistic tendencies.     

Definitions need to be precise and consistent: A reply to Haslam with suggestions for the future

In his reply to our critique of research on self-humanizing, Haslam claims that we used a narrow definition of self-humanizing that ignored the evidence from the correlational research he and his colleagues have done. We disagree. First, we relied upon a definition of self-humanizing based upon comparative judgments that Haslam and colleagues have consistently used. Second, we were well aware of the correlational research he and his colleagues have done. We simply did not think, and do not think, these correlations verified the existence of self-humanizing as defined. In his reply, Haslam offered a new definition of self-humanizing that defines self-humanizing in terms of correlations between comparative judgments and ratings of how much traits reflect human nature. Although we believe this change represents some progress, numerous issues in the study of self-humanizing remain to be resolved. We offer some suggestions for future research on this important topic.