We generalize the notion of analytic/Borel equivalence relations, orbit equivalence relations, and Borel reductions between them to their continuous and quantitative counterparts: analytic/Borel pseudometrics, orbit pseudometrics, and Borel reductions between them. We motivate these concepts on examples and we set some basic general theory. We illustrate the new notion of reduction by showing that the Gromov–Hausdorff distance maintains the same complexity if it is defined on the class of all Polish metric spaces, spaces bounded from below, from above, and from (...) both below and above. Then we show that [Formula: see text] is not reducible to equivalences induced by orbit pseudometrics, generalizing the seminal result of Kechris and Louveau. We answer in negative a question of Ben Yaacov, Doucha, Nies, and Tsankov on whether balls in the Gromov–Hausdorff and Kadets distances are Borel. In appendix, we provide new methods using games showing that the distance-zero classes in certain pseudometrics are Borel, extending the results of Ben Yaacov, Doucha, Nies, and Tsankov. There is a complementary paper of the authors where reductions between the most common pseudometrics from functional analysis and metric geometry are provided. (shrink)

The aim of the paper is to provide a philosophical and historical background to current discussions about the changing relationships between the university and the state through revisiting the classical “Humboldtian” model of the university as discussed in classical German philosophy. This historical detour is intended to highlight the cultural rootedness of the modern idea of the university, and its close links to the idea of the modern national state. The paper discusses the idea of the university as it emerges (...) from the philosophy of Wilhelm von Humbold, Johann Gottlieb Fichte and Friedrich Schleiermacher, as well as - in the 20th century - Karl Jaspers and Jürgen Habermas. More detailed questions discussed include the historical pact between the modern university and the modern nation-state, the main principles of the Humboldtian university, the process of the nationalization of European universities, the national aspect of the German idea of culture (Bildung), and the tension between the pursuit of truth and public responsibilities of the modern university. In discussing current and future missions and roles of the institution of the university today, it can be useful to revisit its foundational (modern) German idea. In thinking about its future, it can be constructive to reflect on the evident current tensions between traditional modern expectations of the university and the new expectations intensified by the emergence of knowledge-based societies and market-driven economies. From the perspective of the tensions between old and new tasks of the university, it is useful to look back at the turning point in its history. (shrink)

Volume 52, Issue 9, August 2020, Page 923-927.

Artykuł jest odpowiedzią na polemikę Stanisława Ruczaja z argumentem z Wcielenia, który został zaprezentowany w książce Ukrytość i Wcielenie. Teistyczna odpowiedź na argument Johna L. Schellenberga za nieistnieniem Boga. Ruczaj zarzuca tzw. obronie inkarnacyjnej, że nie rozważa ona możliwości, zgodnie z którą Bóg jest zarazem wcielony, jak i nieukryty. W niniejszym artykule koncentruję się na uzasadnieniu, dlaczego uważam, że jest możliwe, iż owa opcja jest dla Boga wykluczona. Według mnie istnieją racje przemawiające za tym, że jest ona (a) logicznie sprzeczna, (...) (b) niespójna z doskonałym moralnie charakterem Boga, (c) nie skutkowałaby wyeliminowaniem niewiary bez oporu we Wcielenie. (shrink)

Bell’s theorem cannot be proved if complementary measurements have to be represented by random variables which cannot be added or multiplied. One such case occurs if their domains are not identical. The case more directly related to the Einstein–Rosen–Podolsky argument occurs if there exists an ‘element of reality’ but nevertheless addition of complementary results is impossible because they are represented by elements from different arithmetics. A naive mixing of arithmetics leads to contradictions at a much more elementary level than the (...) Clauser–Horne–Shimony–Holt inequality. (shrink)

In this article the author analyzes the problem stated by Ingarden in his ontology: under what conditions can the subject−properties structure and the whole−parts structure coexist in one object? After the presentation of Ingarden’s doctrines concerning both structures, the author argues that for Ingarden a whole is nothing over and above a plurality of objects linked by relations. However, Ingarden was convinced that a compound object is not identical with a whole which is associated with it. Then the author analyzes (...) the difference between the two types of compound objects: higher-order objects and compound, primarily individual objects. The former are founded on parts while the latter are such that their parts are founded on them. Finally, the author considers Ingarden’s theory as an answer to the one–many problem. The author argues that Ingarden’s conception of a higher-order object cannot solve this problem, and he also points to some difficulties concerning primarily individual compound objects. (shrink)

Consistent application of dialectical materialism leads Marxism-Leninism to the assertion that matter is infinite in its properties. However, the history of physics shows that the various levels of matter possess geometric dimensions that originate at the lowest level and continue through the others. The search for absolute natural constants -- which Planck called the most pleasant task of physics -- shows the conviction of the physicists that there is a limit to the parameters, a limit beyond which matter is no (...) longer divisible. (shrink)

The author proves that rejecting the existence of permissive norms and limitation of norms to prohibitions and commands alone is possible only with reducing the idea of a function. The essence of the function is then the ability of the expression to generate independently the universal norm formation. Such manipulation is easy on the level of logical analysis, but proves risky from other points of view. If we want the deontic logic, which we construct, to consider the fact that permission (...) is pragmatically necessary for the law-maker to convey his normative preferences, we must solve the consequences of the adopted structure of the function of norms, which originate on the socio-linguistic level. It appears, however, that due to a lack of a pragmatic theory useful for lawyers, there is no proof that the pragmatically strong permission can be expressed by means of a lot of prohibitions and commands (dos and don’ts). Besides, reducing permissions only to the language of legal rules is an obligation to accept the structure of an act of communication, which can find its full motivation in the Husserl’s structure of the direct cognition. (shrink)

Two different kinds of multiple-conclusion consequence relations taken from Shoesmith and Smiley and Galatos and Tsinakis or Nowak, called here disjunctive and conjunctive, respectively, defined on a formal language, are considered. They are transferred into a bounded lattice and a complete lattice, respectively. The properties of such abstract consequence relations are presented.

Microfinance institutions are alternative financial providers offering financial services to people typically excluded from the standard banking sector. While most MFIs are active in developing countries, there is also a young and developing microfinance sector in Europe; however, very little literature exists on this MFI segment. In this paper, we analyze the environmental performance of 58 European MFIs. Our results suggest that the size of the MFI, investor concern for environmental performance and, to a lesser extent, donor interest, are closely (...) related to the institution’s environmental performance. Moreover, providing loans larger than microcredits is linked to better environmental performance. This could suggest that the additional revenues generated from these loans, also called cross-subsidies, could help MFIs to strengthen their environmental bottom line. Finally, no evidence suggests that profit status explains environmental performance. (shrink)

The Uppsala School in philosophy and the Vienna Circle are prima facie similar currents in contemporary philosophy. Both reject metaphysics, claim that reality is a spatio­‑temporal realm and adhere to noncognitivism in terms of values. However, justifications of these assumptions are quite different. In the following article we reconstruct main theses of both mentioned currents and then we indicate their impact on one of the major jurisprudential movements, namely Scandinavian Legal Realism. We focus on Alf Ross’ legal philosophy, as it (...) was an attempt to accommodate both: the philosophy of the Uppsala School and of the Vienna Circle. We trace those two sources of inspiration in Ross’ theory of legal validity and of legal concepts. (shrink)

The article reviews the book Value and Virtue in a Godless Universe, by Erik J. Wielenberg.

The primary objective of this article is to analyse functions that experimental models have in the process of creating medical knowledge. When fulfilling this objective, we will refer to findings proposed by R. Harre and like this author; we will distinguish a special type of experimental models do called domesticated models. We will claim that constructing such models initiates three independent cognition activities undertaken in the process of establishing medical knowledge that is applied in clinical practice. Stabilisation of the model (...) process is the first activity. Recognising this process is the second one and its extrapolation is the third one. Findings that we will make, will enable us to bring the process of establishing medical knowledge closer and point out at a category of problems that hinder the development of this process. (shrink)

This article presents Alvin Plantinga’s views on epistemic justification. The first part situates Plantinga’s epistemological views in the context of his epistemology of religion and debates of general epistemology. The second part discusses Plantinga’s argument that the internalism of 20th century epistemology stems from deontologism and that the views on the epistemic justification of analytic philosophers reflect the relationship between classical deontologism and classical internalism. The last part points to the objections with which the Plantinga’s conception met and tries to (...) balance the depth and weakness of its position. (shrink)

Multi-agent systems where the agents are developed by parties with competing interests, and where there is no access to an agent’s internal state, are often classified as ‘open’. The members of such systems may inadvertently fail to, or even deliberately choose not to, conform to the system specification. Consequently, it is necessary to specify the normative relations that may exist between the members, such as permission, obligation, and institutional power. We present a framework being developed for executable specification of open (...) multi-agent systems. We adopt a bird’s eye view of these systems, as opposed to an agent’s perspective whereby it reasons about how it should act. This paper is devoted to the presentation of various examples from the NetBill protocol formalised in terms of institutional power, permission and obligation. We express the system specification in the Event Calculus and execute the specification by means of a logic programming implementation. We also give several example formalisations of sanctions for dealing with violations of permissions and obligations. We distinguish between an open multi-agent system and the procedure by which an agent enters and leaves the system. We present examples from the specification of a role-management protocol for NetBill, and demonstrate the interplay between such a protocol and the corresponding multi-agent system. (shrink)

For Polish Jews, Warsaw was an important center of social and cultural life. It was the biggest center of Jewish community and culture in Europe. It was also here that the greatest tragedy of this community took place, made still more dramatic by the transports of the Jews from various European and Polish cities. The Warsaw Ghetto Uprising reminds us of the egoism of the societies of the Allied powers. Similarly the lonely fight of the heroes of the Warsaw ghetto (...) reminds us of the lonely fight of the insurgents of Warsaw in 1944. Both uprisings involved the whole society. They differed only in the scale of military operations conducted and in their duration.Polish Jews, as well as the Jews from other countries, observed with deep interest the course of insurgent fights, in which a small number of Warsaw Jews saved from extermination and Jews from many European countries, liberated by the insurgents, took part. The feeling of community of fate of the Polish and Jewish nations was a phenomenon of the Warsaw Uprising in 1944; it was a harmony that was never achieved again. Jews, citizens of different countries and members of different organizations loudly demanded help for the heroic but forlorn insurgents. (shrink)

While traditionally identified as a practice-based endeavour, the many dimensions of teacher education raise important philosophical issues that emphasise the centrality of ethics to questions of relationality and professional practice. This second volume of the Educational Philosophy and Theory reader series demonstrates the continuing relevance of philosophical approaches to the field of teacher education. The collection of texts focuses on a wide range of topics, including teacher education in a cross-cultural context, the notion of unsuccessful teaching, democratic teacher education, the (...) reflective teacher, the ethics and politics of teacher identity, and subjectivity and performance in teaching. Chapters also explore teacher education based on experiential learning as ‘experience’, demonstrating the continuing relevance of philosophical approaches to the field. In Search of Subjectivities will interest academics, researchers and postgraduate students in the fields of philosophy of education, philosophy, education, educational theory, teacher education, experiential philosophy, ethics, policy and politics of education, and professional practice. (shrink)

The paper outlines ongoing research on logic-based tools for the analysis and representation of legal contracts, of the kind frequently encountered in large-scale engineering projects and complex, long-term trading agreements. We consider both contract formation and contract performance, in each case identifying the representational issues and the prospects for providing automated support tools.

The article reviews the book Religia i prawda [Religion and Truth], by Piotr Moskal.

Countering the fake news phenomenon has become one of the most important challenges for democratic societies, governments and non-profit organizations, as well as for the researchers coming from several domains. This is not a local problem and demands a holistic approach to analyzing heterogeneous data and storing the results. The research problem we face in this paper is the proposition of an innovative distributed architecture to tackle the above-mentioned problems. The architecture uses state-of-the-art technologies with a focus on efficiency, scalability (...) and also openness, so that community-created components and digital content analyzers could be added. Moreover, we prove the usability of the prototype on Kaggle Fake News dataset. In particular, we consider different configurations of the proposed deep neural network and present the results reflecting the effectiveness, scalability and transferability of the proposed solution. (shrink)

The concept of multiple-conclusion consequence relation from [8] and [7] is considered. The closure operation C assigning to any binary relation r the least multiple-conclusion consequence relation containing r, is dened on the grounds of a natural Galois connection. It is shown that the very closure C is an isomorphism from the power set algebra of a simple binary relation to the Boolean algebra of all multiple-conclusion consequence relations.

Věhlas Gerberta z Remeše (jako papež Silvestr II.) je již od středověku tradován zejména v přímé vazbě s jeho studiem quadrivia ve Španělsku. Tato studie se zabývá problematikou měření času podle Gerberta a snaží se ukázat, že základní koncepce a znalosti, kterých Gerbert k měření času užívá, jsou takřka výhradně převzaty z latinské (převážně) encyklopedické tradice, s výjimkou díla De utilitatibus astrolabii, které je někdy Gerbertovi připisováno, v němž jsou recipovány arabské i latinské zdroje. Nejprve jsou popsány zmínky o Gerbertově (...) konstrukci horologií (část I), následně je představen Gerbertův dopis bratru Adamovi (část II), následuje vymezení základních pojmů – den, noc, rovnoměrná a nerovnoměrná hodina apod. podle latinské tradice i podle spisu De utilitatibus astrolabii (část III), popisy časových pásem podle latinských autorit, včetně řeckého původu těchto paralelních zón (části IV a V) a časová pásma podle nejstarších arabských astrolábů a spisu De utilitatibus astrolabii (část VI), návody k určení přítomnosti v určitém klimatu podle Gerbertova dopisu a spisu De utilitatibus astrolabii (část VII) a pokusy o vysvětlení některých dalších detailů z Gerbertova dopisu Adamovi (část VIII). (shrink)

Tato studie se věnuje výkladu násobení podle čtyř nejstarších latinských středověkých autorů, kteří sepsali své texty o početních úkonech na abaku kolem roku 1000, tedy podle Gerberta z Remeše (Pravidla pro počítání na abaku, Regulae de numerorum abaci rationibus), Herigera z Lobbes (Pravidla počítání na abaku, Regulae numerorum super abacum), Abbona z Fleury (Komentář k Victorioně spisu Calculus, In Calculum Victorii commentario; resp. tzv. Abbonův abakus, Abbonis abacus) a Bernelia mladšího z Paříže (Kniha o abaku, Liber abaci). Po představení, vysvětlení (...) a srovnání pravidel pro násobení podle těchto spisů následuje v příloze originální znění a překlad Herigerových, Gerbetových a Abbonových pravidel pro násobení. (shrink)

Prezentowana książka jest pierwszą monografią w sposób całościowy omawiającą Preambułę Konstytucji Rzeczypospolitej Polskiej z 2.4.1997 r. Dużo miejsca poświęca genezie tekstu - czytelnik znajdzie zgłoszone projekty oraz szerokie omówienie prac Komisji Konstytucyjnej Zgromadzenia Narodowego. W centrum uwagi znalazły się aksjologiczne podstawy całego polskiego systemu prawa oraz refleksja nad wartościami fundującymi porządek prawny w ogóle. Autor omawia poszczególne wartości, uwzględniając ich oddziaływanie na orzecznictwo, zwracając uwagę również na przyjęte przez ustrojodawcę rozstrzygnięcia dotyczące pozaprawnego ugruntowania wartości konstytucyjnych. Podejmuje także problem normatywnego charakteru (...) Preambuły. Książka adresowana jest w sposób szczególny do wszystkich zainteresowanych prawem konstytucyjnym, przede wszystkim w kontekście zagadnień filozoficznoprawnych. Pogłębione rozumienie Preambuły Konstytucji jest istotne także dla wszystkich obywateli, gdyż wskazuje ona na podstawowe wartości leżące u podstaw wspólnoty politycznej. (shrink)

Austin and Quine both reacted to the logical positivism of Carnap, but they did it from different positions. While Quine with his pragmatic rejection of the analytic – synthetic divide and confirmation holism represents a modification and continuation of the tradition, Austin challenges its underlying assumptions: the prominent role of mathematics as a model for natural language and the dichotomy physical object – sense datum. His criticism is paralleled here by the later Wittgenstein in On Certainty and Philosophical Investigations, reacting (...) to his earlier logical phase. But there seems to be no room left for the traditional questions of the philosophy of mathematics in Austin’s natural language approach. (shrink)