We prove that if an n-element algebra generates the variety \ which is actively structurally complete, then the cardinality of the carrier of each subdirectly irreducible algebra in \ is at most \\cdot n^{2\cdot n}}\). As a consequence, with the use of known results, we show that there exist algorithms deciding whether a given finite algebra \ generates the structurally complete variety \\) in the cases when \\) is congruence modular or \\) is congruence meet-semidistributive or \ is a semigroup.

We provide simple algebraic proofs of two important facts, due to Zakharyaschev and Esakia, about Grzegorczyk algebras.

Pojam politicke zajednice spada medju nedovoljno tematizovane pojmove u tradiciji politicke filozofije, a narocito liberalisticke teorije. Ovaj teorijski nedostatak nadoknadjivanja u poslednje dve decenije, kada su u sirokom opsegu istrazivani problemi odredjenja, znacaja, konstituisanja i mogucnosti politicke zajednice. U prvom delu ovog rada pokusao sam da ukazem na razloge za tematizovanje ovog pojma, kao i njegovu relevantnost u analizi savremenih zbivanja na ovim prostorima. U drugom delu nastojao sam da blize odredim pojam politicke zajednice. Treci deo posvecen je sporovima koji (...) su se vodili oko ovog pojma u okviru razlicitih teorija, a koji su ostali do danas aktuelni. U cetvrtom delu ovog rada pokusao sam da razmotrim perspektive politicke zajednice u savremenim uslovima pluralizma posebnih zajednica i etnokulturne heterogenosti. (shrink)

Artykuł poświęcony jest zagadnieniu apolitycznego charakteru sportu. Badania mają na celu prześledzenie stanowiska Międzynarodowego Komitetu Olimpijskiego wobec upolitycznienia sportu i skonfrontowanie go z faktyczną działalnością MKOl, którą można określić jako polityczną. Badania doprowadziły do wniosku, że apolityczny charakter sportu to tylko mit. Masowa popularność sportu skłoniła wiele państw do prób wykorzystania go do celów politycznych, zmuszając MKOl do zajmowania stanowisk politycznych i przenoszenia sporów politycznych na swoje forum.

We provide a new proof of the following Pałasińska's theorem: Every finitely generated protoalgebraic relation distributive equality free quasivariety is finitely axiomatizable. The main tool we use are ${\mathcal{Q}}$ Q -relation formulas for a protoalgebraic equality free quasivariety ${\mathcal{Q}}$ Q . They are the counterparts of the congruence formulas used for describing the generation of congruences in algebras. Having this tool in hand, we prove a finite axiomatization theorem for ${\mathcal{Q}}$ Q when it has definable principal ${\mathcal{Q}}$ Q -subrelations. This (...) is a property obtained by carrying over the definability of principal subcongruences, invented by Baker and Wang for varieties, and which holds for finitely generated protoalgebraic relation distributive equality free quasivarieties. (shrink)

This study examined individual differences in spatial abilities of architecture students. Students at different educational levels were assessed on spatial ability tests that varied in their domain-specificity to architecture, with the hypothesis that larger differences between beginner and advanced students will emerge on more domain-specific tests. We also investigated gender differences in test performance and controlled for general reasoning ability across analyses. In a cross sectional study, master students (N= 91) outperformed beginners (N= 502) on two novel tests involving perspective (...) taking and object composition, as well as on a standardized visualization of cross-sections test, but not on a standardized mental rotations test. Longitudinally (N= 117), spatial performance improved after the first bachelor year on visualization of cross-sections, object composition and mental rotation. Although both genders showed higher spatial test performance with increased experience, male students outperformed females across tests and levels of education. The results overall confirmed improvements in spatial performance during architecture studies, with partial support for the domain-specificity hypothesis. A gender gap among advanced students calls for further examining architecture-specific spatial thinking. (shrink)

The main purpose of the article is to compare the originally Greek, Plato\'s concept of dialogue and its function in the procedure of philosophying to the one developed by the 20-century \"philosophy of dialogue\" (F. Rosenzweig, M. Buber, F. Ebner, E. Levinas). It seems quite astounding that philosophy of dialogue, a trend which consistently and persistently defends the privileged position of dialogue in the structure of reality and uses it as an essential factor in the understanding of the relation between (...) God and Man, has not developed any solid methodological perspective. What is even worse, it failed to observe its presence in the very core of philosophical thinking, i.e. in Plato\'s thought. We are capable of reconstructing Plato\'s modus philosophandi with its essential conditions: the philosopher must not only \'see\' the truth (the noetical function), but must also tell it to the others, choose the partners of the dialogue and defend his logos if necessary (the apophantical function). The article consists of two complementary analyses: the first one is devoted to the presentation of the dialogical factor in Plato\'s noetics and apophantics, and the second one focuses on Rosenzweig\'s criticism of the whole European philosophy. The author tries to indicate its doubtful moments by -putting forward the question whether Plato\'s philosophy may be justly ascribed to the tradition under Rosenzweig\'s criticism, and if so, to what extent. (shrink)

Esej jest próbą rozważenia problemu zła w polityce. Punktem wyjścia są refleksje polityczne B. Pascala i M. Montaigne. Historia filozofii służy tutaj do konceptualizacji problemów aktualnych i w gruncie rzeczy nieprzemijających. Namysł nad źródłami władzy i legitymizacją państwa okazuje się uniwersalną medytacją dotyczącą ludzkiego losu i wolności w obliczu egzystencjalnych zagrożeń. Raison d’État and Rationale of Appearances. An Essay on the Roots of Evil in Politics This essay attempts to weigh in on the problem of evil in politics. The starting (...) point follows the political reflections of B. Pascal and M. Montaigne. Here, the history of philosophy is used to conceptualize the problems of the present and, in fact, those that are enduring. Thinking about the sources of power and a state’s legitimacy proves to be a universal meditation on human destiny and freedom when challenged by existential threats. (shrink)

Automatic control of physiological variables is one of the most active areas in biomedical engineering. This paper is centered in the prediction of the analgesic variables evolution in patients undergoing surgery. The proposal is based on the use of hybrid intelligent modelling methods. The study considers the Analgesia Nociception Index to assess the pain in the patient and remifentanil as intravenous analgesic. The model proposed is able to make a one-step-ahead prediction of the remifentanil dose corresponding to the current state (...) of the patient. The input information is the previous remifentanil dose, the ANI variable and the electromyogram signal. Modelling techniques used are Artificial Neural Networks and Support Vector machines for Regression combined with clustering methods. Both training and validation were done with a real dataset from different patients. Results obtained show the potential of this methodology to calculate the drug dose corresponding to a given analgesic state of the patient. (shrink)

In this paper we give a positive answer to a problem posed by G. Hofer-Szabo and M. Redei regarding the existence of infinite common cause systems. An example of a countably infinite CCS is presented, as well as the proof that no CCSs of greater cardinality exist.

RESPONSIBILITY FOR THE STATE OF THE NATION: THE CONCEPTS OF CONTEMPORARY POLISH PERSONALISTS S u m m a r y Contemporary times, filled with ideas of postmodernism and globalization, are not conducive to reflection on the concept of the nation. Meanwhile, the nation as a community of people from the same family has a personal dimension. The nation should therefore have a significant impact on the state, which is public. There is a need to take responsibility for the quality of (...) the state by the national community. Especially this responsibility is reflected in the idea of realization of the common good. The state has the duty to care for common welfare and enable people to participate in it. National community helps in this process. Its fundament is a common good implemented by every person. A national culture has important role in the responsibility for the state. The specificity of a culture—with its sovereignty—distinguishes a given nation from others. This makes it possible to play a significant role in building the sovereignty of the country. However, in taking responsibility for the state, the most important is a person. Because he is a human being – what is particularly emphasized by Polish personalists. (shrink)

Krynicki, M. and M. Mostowski, Decidability problems in languages with Henkin quantifiers, Annals of Pure and Applied Logic 58 149–172.We consider the language L with all Henkin quantifiers Hn defined as follows: Hnx1…xny1…yn φ iff f1…fnx1. ..xn φ, ...,fn). We show that the theory of equality in L is undecidable. The proof of this result goes by interpretation of the word problem for semigroups.Henkin quantifiers are strictly related to the function quantifiers Fn defined as follows: Fnx1…xny1…yn φ iff fx1…xn φ,...,f). (...) In contrast with the first result we show that the theory of equality with all quantifiers Fn is decidable.We also consider decidability problems for other theories in languages L and L. (shrink)

Stať se snaží analyzovat myšlenky málo známého rukopisu Sigmunda Freuda z roku 1895, v němž usiloval o nalezení biologických základů lidské psychiky. Tato práce je pozoruhodná ze dvou důvodů. Jednak představuje úvahy, které se výrazně od- lišují od toho, co je pro Freuda v oblasti psychologie tak typické. Freud se zde, až na výjimky, nezabývá psychoanalýzou či studiemi o hysterii, nýbrž popisuje, co by mohlo být základem těchto psychologických jevů na neurofyziologické úrovni. Druhým pozoruhodným faktem je, že tento manuskript byl (...) pozapome- nut až do poloviny 20. století, kdy byl vytištěn pod názvem Projekt vědecké psychologie. A jak je známo, neurofyziologická studia lidské mysli spojená s analýzou kognitivních funkcí se v ri- gorózní podobě objevují až na počátku 60. let. Stať se proto pokouší ukázat základní principy Projektu a naznačit, v čem byl Freud inspirativním průkopníkem moderních neurofyziologických přístupů k lidské mysli. (shrink)

This study aimed to evaluate if eye blinks can be used to discriminate players with different performance in a session of Nintendo Entertainment System (NES) Tetris. To that end, we developed a state-of-the-art method for blink extraction from EAR measures, which is robust enough to be used with data collected by a low-grade webcam such as the ones widely available on laptop computers. Our results show a significant decrease in blink rate per minute (blinks/m) during the first minute of playing (...) Tetris. After having defined 3 groups of proficiency based on in-game performance (Novices, Intermediates, and Experts) we found out that expert players display a significantly lower decrease in blinks/m compared to novices during the first minute of gameplay, which shows that Tetris players' proficiency can be detected by looking at eye blinks/m variations during the early phase of a game session. This difference in blinks/m is observed throughout the entire game session, which supports the general conclusion that proficient Tetris players have a lower decrease in blinks/m, even when playing more difficult levels. Finally, we offer some interpretations of this effect and the relationship that our results may have with the visual cognitive workload experienced during the gameplay. (shrink)

The article offers an analysis of Józef Bocheński's studies of the concept of nation. Bocheński acknowledges that there are difficulties in defining a nation. After that he claims that he will attempt to propose a definition of the Polish nation. Nation is a social group centered around some cultural ideal. The analysis shows that Bocheński did not avoid serious logical problems. First of all, he constantly falls into a circular reasoning. Furthermore, it is called into question if it makes sense (...) to refer to a cultural ideal or ideology while defining a nation. Is not such an attempt essentially bound to become circular? A doubt is also raised whether nowadays, in the face of constant migration of people and cultural ideals, one can continue to reasonably talk about nations. (shrink)

The concept ofgroundingis accepted and common among dance movement therapists and body psychotherapists. It expresses a stable physical and emotional presence – “supported by the ground.” The assumption is that embodied emotional knowledge is expressed through the manner of physical holding and in the emotional experience in the world. However, along with the clinical use of the term, an empirical tool for examining grounding is lacking. The goal of the study was to examine the reliability and validity of an observation (...) tool for assessing the quality of grounding, the Grounding Assessment Tool (GAT), which was created for the present study on the basis of theory, research, and clinical knowledge in the field. Forty three adult participants (age,M= 28.2 years, SD = 8.54) were recruited for an experimental and controlled session, the session included guided movement for approximately 10 min. The movement was recorded on video. The quality of the movement was rated by two raters and was scored using the GAT. The study findings indicated that the GAT is a reliable and valid tool – with good internal consistency (α = 0.850) and high interrater and intrarater reliability (Kendall’s ’range from 0.789 to 0.973 and intraclass correlation coefficient range from 0.967 to 1.00, respectively). The exploratory factor analysis showed that four factors are involved in the assessment of grounding quality: fluid and rhythmic movement, emotional expression in movement, pattern of foot placement, and lack of stability and weightiness. The results of this study expand the theoretical understanding of the concept of grounding. They contribute to the understanding of the benefits of body focus, dance and movement in psychotherapy and to validating body psychotherapy and dance movement therapy (DMT). The existence of a reliable and valid tool is essential for assessment and diagnostic processes, for formulating therapeutic goals focused on the body, and for examining their effectiveness. (shrink)

A. Klimczuk, M. Skarzyński, Wnioski i rekomendacje, [in:] M. Juchnicka, Doradcze i edukacyjne aspekty reorientacji zawodowej i wsparcia zatrudnienia zwalnianych pracowników oświaty, Izba Rzemieślnicza i Przedsiȩbiorczości, Białystok 2015, pp. 289-306.

A. Klimczuk, M. Skarzyński, Modernizacja szkół zawodowych w oparciu o programy rozwojowe, [in:] M. Juchnicka, Formalnoprawne aspekty modernizacji szkolnictwa zawodowego, Izba Rzemieślnicza i Przedsiȩbiorczości, Białystok 2014, pp. 119-144.

A. Klimczuk, D. Borowski, M. Skarzyński, Wnioski i rekomendacje, [in:] M. Juchnicka, Formalnoprawne aspekty modernizacji szkolnictwa zawodowego, Izba Rzemieślnicza i Przedsiȩbiorczości, Białystok 2014, pp. 161-170.

There are aspects of privacy theory that are analogous to quantum theory. In particular one can define distillable key and key cost in parallel to distillable entanglement and entanglement cost. We present here classical privacy theory as a particular case of information theory with adversaries, where similar general laws hold as in entanglement theory. We place the result of Renner and Wolf—that intrinsic information is lower bound for key cost—into this general formalism. Then we show that the question of whether (...) intrinsic information is equal to key cost is equivalent to the question of whether Alice and Bob can create a distribution product with Eve using I M bits of secret key. We also propose a natural analogue of relative entropy of entanglement in privacy theory and show that it is equal to the intrinsic information. We also provide a formula analogous to the entanglement of formation for classical distributions. (shrink)

The compact and, with \ M\, very massive object located at the center of the Milky Way is currently the very best candidate for a supermassive black hole in our immediate vicinity. The strongest evidence for this is provided by measurements of stellar orbits, variable X-ray emission, and strongly variable polarized near-infrared emission from the location of the radio source Sagittarius A* in the middle of the central stellar cluster. Simultaneous near-infrared and X-ray observations of SgrA* have revealed insights into (...) the emission mechanisms responsible for the powerful near-infrared and X-ray flares from within a few tens to one hundred Schwarzschild radii of such a putative SMBH. If SgrA* is indeed a SMBH it will, in projection onto the sky, have the largest event horizon and will certainly be the first and most important target for very long baseline interferometry observations currently being prepared by the event horizon telescope. These observations in combination with the infrared interferometry experiment GRAVITY at the very large telescope interferometer and other experiments across the electromagnetic spectrum might yield proof for the presence of a black hole at the center of the Milky Way. The large body of evidence continues to discriminate the identification of SgrA* as a SMBH from alternative possibilities. It is, however, unclear when the ever mounting evidence for SgrA* being associated with a SMBH will suffice as a convincing proof. Additional compelling evidence may come from future gravitational wave observatories. This manuscript reviews the observational facts, theoretical grounds and conceptual aspects for the case of SgrA* being a black hole. We treat theory and observations in the framework of the philosophical discussions about “realism and underdetermination”, as this line of arguments allows us to describe the situation in observational astrophysics with respect to supermassive black holes. Questions concerning the existence of supermassive black holes and in particular SgrA* are discussed using causation as an indispensable element. We show that the results of our investigation are convincingly mapped out by this combination of concepts. (shrink)

Thinking with images -- Aesthetics without theory -- The Baroque and Bacon's popes -- Chance meeting with Duane Michals -- Étant donnés, Marcel Duchamp -- Le Mépris or Contempt, a film by Jean-Luc Godard.

This study casts light on how the issue of childlessness is portrayed in the Bible. The discussion begins with a commentary on Michal’s story, which provides the foundation for further reflection on how childlessness was dealt with in the biblical world, especially in the situations where no miraculous divine solutions were provided. Several humanly devised solutions, acceptable and practiced in the ancient world are presented. The last part of the paper focuses on the more eschatological view of human existence provided (...) in the New Testament, showing that childlessness is a form of suffering included in the promise of redemption brought about by the inauguration of God’s kingdom. As such the response of the redeemed community is to be characterized by love and compassion. (shrink)