Let A₁,..., An, An+1 be a finite sequence of algebras of sets given on a set X, $\cup _{k=1}^{n}{\cal A}_{k}\neq \germ{P}(X)$, with more than $\frac{4}{3}n$ pairwise disjoint sets not belonging to An+1. It was shown in [4] and [5] that in this case $\cup _{k=1}^{n+1}{\cal A}_{k}\neq \germ{P}(X)$. Let us consider, instead An+1, a finite sequence of algebras An+1,..., An+l. It turns out that if for each natural i ≤ l there exist no less than $\frac{4}{3}(n+l)-\frac{l}{24}$ pairwise disjoint sets not belonging (...) to An+i, then $\cup _{k=1}^{n+1}{\cal A}_{k}\neq \germ{P}(X)$. But if l ≥ 195 and if for each natural i ≤ l there exist no less than $\frac{4}{3}(n+l)-\frac{l}{15}$ pairwise disjoint sets not belonging to An+i, then $\cup _{k=1}^{n+1}{\cal A}_{k}\neq \germ{P}(X)$. After consideration of finite sequences of algebras, it is natural to consider countable sequences of algebras. We obtained two essentially important theorems on a countable sequence of almost σ-algebras (the concept of almost σ-algebra was introduced in [4]). (shrink)

A new formulation involving fulfillment of all the Kolmogorov axioms is suggested for acomplete probability theory. This proves to be not a purely mathematical discipline. Probability theory deals with abstract objects—images of various classes of concrete objects—whereas experimental statistics deals with concrete objects alone. Both have to be taken into account. Quantum physics and classical statistical physics prove to be different aspects ofone probabilistic physics. The connection of quantum mechanics with classical statistical mechanics is examined and the origin of the (...) Schrödinger equation is elucidated. Attention is given to the true meaning of the wave-corpuscle duality, and the incompleteness of nonrelativistic quantum mechanics is explained. (shrink)

Junior researchers can be abused and bullied by unscrupulous senior collaborators. This article describes the profile of a type of serial abuser, the White Bull, who uses his academic seniority to distort authorship credit and who disguises his parasitism with carefully premeditated deception. Further research into the personality traits of such perpetrators is warranted.

Christianity during Portuguese era in Kerala, India.

The increasing demand for horticultural products for nutritional and economic purposes by lesser developed countries (LDC's) is well-documented. Technological demands of the LDC's producing horticultural products is also increasing. Pesticide use is an integral component of most agricultural production, yet chemicals are often supplied without supplemental information vital for their safe and efficient implementation. Illiteracy rates in developing countries are high, making pesticide education even more challenging. For women, who perform a significant share of agricultural tasks, illiteracy rates are even (...) higher than for men. The dilemma exists of how a developing country can improve its nutritional and economic situation without giving consideration to social and environmental consequences. (shrink)

Music and Postwar Transitions in the 19th and 20th Centuries is the first book to highlight the significance of the idea of 'postwar transition' in the field of music and to demonstrate how the contribution of musicians, composers, and their publics have influenced contemporary understandings of war. At the intersection of four domains including: the relationship between music and war culture, commemorative and consolatory dimensions of music, migration and exile, and the links between music, cultural diplomacy, and propaganda, leading historians, (...) political scientists, psychologists, and musicologists explore disruptions and connections to music through the backdrop of war. In turn, this volume sheds new light on what has been a blind spot in a growing historiography. (shrink)

It has been more than sixty years since R. D. Collison Black published his Economic Thought and the Irish Question, a book which ever since has been widely regarded as a classic in the history of e...

I argue that sentences ascribing beliefs to non-human animals have the same logical form as sentences of the "perceives that" variety. Pace D.M. Armstrong, I argue that animal belief sentences can be referentially opaque, just as perception sentences containing a propositional clause are. In both cases, referential opacity requires our assuming that the animal believer and the human perceiver has each identified the object of the belief or perception.

ABSTRACTAdopting a temporally distant perspective on stressors reduces distress in adults. Here we investigate whether the extent to which individuals project themselves into the future influences distancing efficacy. We also examined modulating effects of age across adolescence and reactive aggression: factors associated with reduced future-thinking and poor emotion regulation. Participants read scenarios and rated negative affect when adopting a distant-future perspective, near-future perspective, or when reacting naturally. Self-report data revealed significant downregulation of negative affect during the distant-future condition, with a (...) similar though non-significant skin conductance pattern. Importantly, participants who projected further ahead showed the greatest distress reductions. While temporal distancing efficacy did not vary with age, participants reporting greater reactive aggression showed reduced distancing efficacy, and projected themselves less far into the future. Fi... (shrink)

I defend the view that propositional knowledge can be defined as follows: A knows that p if and only if A believes that p because p. Spelling out the meaning of 'because' in this formula results in a causal-explanatory view of knowledge.

General regularities related toLagrangian andHamiltonian equations are revealed. Probability distributions for functions ofHamiltonian random variables are considered. It is shown that all probability distributions of this kind are fully determined by the probability distributions for the random variables satisfying the corresponding Lagrangian equations. Some formulas related tocanonically conjugate operators are given. The similarity of these formulas to those related to Hamiltonian random variables is demonstrated. The “quantum approach” to the treatment of Hamiltonian random variables is discussed, and the origin of (...) some peculiarities related to this approach is elucidated; it is explained, in particular, why it is impossible to form the joint probability density for canonically conjugate random variables when using this approach. The peculiarities revealed prove to be common for any objects possessing Hamiltonian random variables, irrespective of the nature of the objects, and coincide, therefore, with those in quantum mechanics. The existence of joint probability distributions for canonically conjugate random variables in the general case is demonstrated through the calculation of the corresponding joint mathematical expectations in an illustrative example. This proves, in particular, that joint probability distributions for canonically conjugate coordinates and momenta exist indeed in the case of mechanical microsystems. The results obtained prove once again that the pecularities of quantum mechanics are not related to the specificity of the measurements of physical quantities for microsystems. (shrink)