We investigate the classes of ideals for which the Egoroff’s theorem or the generalized Egoroff’s theorem holds between ideal versions of pointwise and uniform convergences. The paper is motivated by considerations of Korch :269–282, 2017).

We continue the study of Rosenthal families initiated by Damian Sobota. We show that every Rosenthal filter is the intersection of a finite family of ultrafilters that are pairwise incomparable in the Rudin-Keisler partial ordering of ultrafilters. We introduce a property of filters, called an \-filter, properly between a selective filter and a \-filter. We prove that every \-ultrafilter is a Rosenthal family. We prove that it is consistent with ZFC to have uncountably many \-ultrafilters such that any intersection of (...) finitely many of them is a Rosenthal filter. (shrink)

We study the sets of symmetric continuity of real functions in connection with the sets of continuity. We prove that sets of reals of cardinality (...) of symmetric continuity of a real function that are not continuity points does not contain a nonmeager set with Baire property and has inner measure zero by introducing another notion of smallness below meager and measure zero. (shrink)

We study cardinal invariants of systems of meager hereditary families of subsets of ω connected with the collapse of the continuum by Sacks forcing S and we obtain a cardinal invariant yω such that S collapses the continuum to yω and y ≤ yω ≤ b. Applying the Baumgartner-Dordal theorem on preservation of eventually narrow sequences we obtain the consistency of y = yω < b. We define two relations $\leq _{0}^{\ast}$ and $\leq _{1}^{\ast}$ on the set $(^{\omega}\omega)_{{\rm Fin}}$ of (...) finite-to-one functions which are Tukey equivalent to the eventual dominance relation of functions such that if $\germ{F}\subseteq (^{\omega}\omega)_{Fin}$ is $\leq _{1}^{\ast}$ -unbounded, well-ordered by $\leq _{1}^{\ast}$ , and not $\leq _{0}^{\ast}$ -dominating, then there is a nonmeager p-ideal. The existence of such a system F follows from Martin's axiom. This is an analogue of the results of [3], [9, 10] for increasing functions. (shrink)

We analyze the structure of strongly dominating sets of reals introduced in Goldstern et al. (Proc Am Math Soc 123(5):1573–1581, 1995). We prove that for every κ (...) class l of Baire sets for the Laver category base and compare the σ-ideal of sets which are not strongly dominating with the Laver ideal l0. (shrink)

We define a σ-ideal J D on the set of functions ω ω with the property that a real x ∈ ω ω is a Hechler real over V if and only if x omits all Borel sets in J D . In fact we define a topology D on ω ω related to Hechler forcing such that J D is the family of first category sets in D. We study cardinal invariants of the ideal J D.

We define the ideal with the property that a real omits all Borel sets in the ideal which are coded in a transitive model if and only if it is an amoeba real over this model. We investigate some other properties of this ideal. Strolling through the "amoeba forest" we gain as an application a modification of the proof of the inequality between the additivities of Lebesgue measure and Baire category.

Knížka je určena každému, kdo se zajímá o logickou stavbu a základy matematiky a o začátky moderní matematické logiky. Aniž předpokládala zvláštních věcných znalostí, navazujíc na tradiční středoškolskou logiku, přibližuje čtenáři výraz a methodu logiky moderní. V podstatě jde o řešení dvou otázek: jak se odvozují matematické věty a jaké jsou logické základy matematiky. Probírá spojování výroků, výrokové vzorce, obecné a existenční výroky, logickou dedukci adruhy důkazů, některé matematické pojmy (množina, vztah, zobrazení, funkce), definice a jejich vlastnosti i systémy axiomů (...) a požadavky, jež na ně klademe. (shrink)

University study can be a life period of heightened psychological distress for many students. The development of new preventive and intervention programs to support well-being in university students is a fundamental challenge for mental health professionals. We designed an 8-week online mindfulness-based program combining a face-to-face approach, text, audio, video components, and support psychotherapy principles with a unique intensive reminder system using the Facebook Messenger and Slack applications in two separate runs. We assessed the program’s effect on mindful experiencing, perceived (...) stress, emotion regulation strategies, self-compassion, negative affect, and quality of life. The results of the presented pilot study confirmed that eMBP is a feasible and effective tool in university students’ mental health support. The students who completed the eMBP reported a reduction of perceived stress with a large effect size as well as a decrease of negative affect experience frequency and intensity, an increase of being mindful in their life, and a higher rate of self-compassion with a medium effect size. A small effect size was found in the frequency of using a cognitive reappraisal strategy. One new result is the observation of an eMBP effect on the decrease in attributed importance to the quality-of-life components replicated in two consecutive runs of the program. The study affirms that mindfulness-based interventions can be effectively delivered in an eHealth form to university students. (shrink)

Contents: 1. Testosterone is not the only Game in Town: The Transgender Woman Athlete 2. Queer Language Lessons: The Confusion over ‘My Pronouns’ 3. Legal Fictions: Changing Sex by Changing Gender 4. More than a Feeling: Rock Stars, Heroines and Transwomen 5. To Compete, or not to Compete, that is the Question: Which is Nobler for Transwomen Athletes? 6. The Power of Words 7. Feminism, Conceptual Engineering, and Trans Identit.

Prior research has suggested that perceptual disfluency activates analytical processing and increases the solution rate of mathematical problems with appealing but incorrect answers (i.e., the Cogn...

This is a collection of essay on transgender issues: Law, Language, Sport, and Metaphysics. [3rd edition, extended and updated, 2023].

Grammatische Ausdrucksmittel der Hierarchisierung der semantischen Struktur des Satzes.

In addition to structural issues and topic selection issues, the subject of professional interest is the interpretation of historical events, especially those that are to a certain extent controversial or play a negative role in terms of ethnic relations. It is not the intention to stop looking at national history "with our own eyes" and to try to look at the point of view of an independent observer (the emotional attitude to the history of one's own nation as a part (...) of the personal identity can not be dispensed with) - the sense should more often point to the positive mutual influences countries have enriched each other, as mutual contacts (including competition) have contributed to progress, such as the crossing of cultures and the lifestyle of their current form.--Publisher's website. (shrink)

World Rugby (WR) announced in 2020 that transwomen should not be competing at the elite level because of safety and fairness concerns. WR and Jon Pike, a philosopher of sport advising them, adopted a lexical approach to get a grip on the three values in play: safety, fairness, and inclusion. Previously, governing bodies tried to balance these competing values. Michael Burke recently published a paper taking aim at Pike’s lexical approach. This is a reply to Burke.

Anthropology of Consciousness, Volume 32, Issue 1, Page 33-54, Spring 2021.

This book is a revised translation of two works by Miroslav Hroch, which together form a pioneering comparative analysis of the various struggles for national identity in nineteenth-century Europe. It is concerned with the decisive phase of 'national renaissance', when small groups of committed patriots successfully generated mass support. When and why was their propaganda effective? The author attempts to answer this fundamental question by locating the patriots within the contemporary social structure, and uses data derived from many different (...) nationalisms. The work is divided into three sections; a theoretical examination of the origins of nationalism and nation-hood, a quantitative survey of the social and territorial structure of the patriots of eight representative national movements, and a comparative analysis of the social and professional groups that formed the milieu of patriotism. Numerous statistical tables and maps illuminate the text, which forms one of the most significant studies of the nationalist phenomenon to be published in recent years. (shrink)

Most people will not be familiar with the term ‘jurisprudence of sport’ (JOS). The idea is that looking at sport through the eyes of a legal scholar might illuminate our understanding of certain problems in sport (and vice versa). The term was first introduced in 2011, in the title of a paper by Mitchell N. Berman, who is also a contributor to this book. In the present volume we have contributions from around the world: Italy, Spain, Germany, Australia, Great Britain, (...) the US and the Netherlands, by authors of various nationalities. (shrink)

In 2004 in Prague, I met Slovak philosopher Miroslav Marcelli, who had attended Foucault's lectures in Paris in 80s. We talked about the legacy of Foucault and contemporary philosophy. Mr. Marcelli taught me philosophy at Comenius University in 1995.. I never visited his lectures, I only passed the exam.. The most interesting point was his answer to my 'provocations' replicating the common prejudice about impracticability of the philosophy. He answered "Do you think that e.g. Descartes didn't know about it?" (...) In fact, people tend to think that philosophers or mathematicians, are "asocial" without "social" intelligence, while their occasional isolation (e.g. Nietzsche) is a product of social exclusion, rather than their choice. In 2013 I applied Foucault's concept of Discontinuity to short 10 minutes movie: Discontinuity, projected in my exhibition "From Animation" in Holland Park, London. The film has 3 parts, ends as it starts to show the significant historical events in 4 windows, when the same idea appears to disappear to re-appear.. Foucault's philosophy doesn't seem to me so unique now, e.g. the idea that many historical changes or progress itself is often illusionary - masking the power structure, had already been explored 515 BC, in depth by Parmenides who concluded: the change is impossible. (shrink)

The paper aims to present Spinoza’s understanding of the ontological status of finite beings, which was heavily influenced by mathematics, i.e. geometry. Spinoza stratified finite beings into two fairly incompatible layers: the one subjectively conceived, while the other is the objective level. The first level is related to the essence of being that is caused by God through immanent causality: here, we speak of entailment on the logical and epistemological level, and not the level of reality. Unlike essence, existence represents (...) the second level of being: existence is caused by the real finite being through transeunt cause. The first level, by its ontological status, is very close to mathematical entities, therefore the qualification that Spinoza ‘geometrized reality under a species of the essences’. Namely, he geometrized the segment under the scope of ontology, i.e. the essences of finite modes. The final part of the paper is dedicated to one of the main reasons why Spinoza failed to provide a satisfactory solution to this ontological problem, which is not the only such problem of his system. This would be that Spinoza paid too muchattention on ethics, to the detriment of metaphysics, i.e. ontology as general metaphysics. For Spinoza, ontology is subjected to epistemology and ethics, therefore the name ‘functional metaphysics’. U članku se tematizira Spinozino shvaćanje ontologijskog statusa konačnih bića koje je bilo pod znatnim utjecajem matematike odnosno geometrije. Spinoza je konačna bića stratificirao na dvije teško pomirljive razine: jedna je ona subjektivno zamišljena, a druga bi trebala biti zbiljska razina. Prva se razina odnosi na bit bića koju uzrokuje Bog na način imanentne uzročnosti: radi se o slijeđenju na logičkoj i spoznajnoj razini, a ne o zbiljskoj razini. Za razliku od bîti, egzistencija predstavlja drugu razinu bića: egzistenciju uzrokuje zbiljsko konačno biće na način tranzeuntnog uzroka. Prva je razina po svome ontologijskom statusu vrlo bliska matematičkim entitetima, zbog čega se rabi kvalifikacija da je Spinoza ‘geometrizirao stvarnost pod vidikom bîti’. Geometrizirao je, naime, segment kojim se bavi ontologija, a to su bîti konačnih modusa. U završnom dijelu članka navodi se jedan od glavnih razloga Spinozina nezadovoljavajućeg rješenja ovog ontologijskog problema, iako to nije i jedini ontologijski problem njegova sustava. Taj bi razlog bila Spinozina velika usredotočenost na etiku, a na štetu metafizike, odnosno ontologije kao opće metafizike. Spinoza je ontologiju promatrao u funkciji epistemologije i etike, pa se govori o ‘funkcionalnoj metafizici’. (shrink)

The paper aims to present Spinoza’s understanding of the ontological status of finite beings, which was heavily influenced by mathematics, i.e. geometry. Spinoza stratified finite beings into two fairly incompatible layers: the one subjectively conceived, while the other is the objective level. The first level is related to the essence of being that is caused by God through immanent causality: here, we speak of entailment on the logical and epistemological level, and not the level of reality. Unlike essence, existence represents (...) the second level of being: existence is caused by the real finite being through transeunt cause. The first level, by its ontological status, is very close to mathematical entities, therefore the qualification that Spinoza ‘geometrized reality under a species of the essences’. Namely, he geometrized the segment under the scope of ontology, i.e. the essences of finite modes. The final part of the paper is dedicated to one of the main reasons why Spinoza failed to provide a satisfactory solution to this ontological problem, which is not the only such problem of his system. This would be that Spinoza paid too much attention on ethics, to the detriment of metaphysics, i.e. ontology as general metaphysics. For Spinoza, ontology is subjected to epistemology and ethics, therefore the name ‘functional metaphysics’. (shrink)

I confront arbitrariness of the sign to a criterion assessing the quality of language, logical system, psychometrics and art.

World Rugby (WR) announced in 2020 that transwomen should not be competing at the elite level because of safety and fairness concerns. WR and Jon Pike, a philosopher of sport advising them, adopted a lexical approach to get a grip on the three values in play: safety, fairness, and inclusion. Previously, governing bodies tried to balance these competing values. Michael Burke recently published a paper taking aim at Pike’s lexical approach.

Istraživanje je provedeno na uzorku učenika trećih razreda strukovnih škola i gimnazija. Od uključenih učenika, gimnaziju je pohađalo njih 253, a srednje strukovne škole 352 učenika. Cilj istraživanja bio je ispitati neke specifičnosti u percepciji učenika srednjih škola o važnosti nastavnih predmeta iz područja likovnih umjetnosti. Napravljena je posebna analiza samo za dvije odabrane zavisne varijable: važnost nastavnih predmeta iz područja likovnih umjetnosti za razvoj pamćenja i sposobnosti za učenje ostalih nastavnih predmeta te interes i zadovoljstvo sudjelovanjem u likovnim aktivnostima. (...) Rezultati pokazuju da ne postoji statistički značajna razlika između učenika gimnazija i strukovnih škola u procjeni sudjelovanja u aktivnostima nastave likovne umjetnosti te u procjeni važnosti likovnih aktivnosti za razvoj pamćenja i sposobnosti za učenje ostalih predmeta. Postoji statistički značajna spolna razlika u procjeni sudjelovanja u aktivnostima nastave likovne umjetnosti te u procjeni važnosti likovnih aktivnosti za razvoj pamćenja i sposobnosti za učenje ostalih predmeta. Može se zaključiti da ispitanici nisu bili u mogućnosti procijeniti koliko i u koju svrhu će im u daljnjem školovanju i budućem zanimanju koristiti kompetencije stečene u nastavi likovne umjetnosti. This research was carried out on a sample of third year pupils of vocational schools and gymnasiums. Of the surveyed pupils, 253 of them attended gymnasiums, while 352 attended vocational secondary schools. The goal of this research was to examine specificities in secondary school pupils’ perceptions of the importance of subjects in the field of the fine arts. A separate analysis was undertaken for only two selected dependent variables: the importance of subjects in the field of the fine arts for developing memory and the ability to learn other subjects, and interest in and satisfaction with participation in fine arts activities. The results show that there is no statistically significant difference between the estimation of gymnasium and vocational school pupils regarding participation in fine arts activities or in their estimation of the importance of fine arts activities in developing memory and the ability to learn other subjects. There is a statistically significant gender difference in the estimation of participation in fine arts activities, as well as in the estimation of the importance of fine arts activities in developing memory and the ability to learn other subjects. It can be concluded that respondents were unable to estimate how much or why they would use competencies gained in fine arts teaching in their continued education or their future careers. (shrink)

This research was carried out on a sample of third year pupils of vocational schools and gymnasiums. Of the surveyed pupils, 253 of them attended gymnasiums, while 352 attended vocational secondary schools. The goal of this research was to examine specificities in secondary school pupils’ perceptions of the importance of subjects in the field of the fine arts. A separate analysis was undertaken for only two selected dependent variables: the importance of subjects in the field of the fine arts for (...) developing memory and the ability to learn other subjects, and interest in and satisfaction with participation in fine arts activities. The results show that there is no statistically significant difference between the estimation of gymnasium and vocational school pupils regarding participation in fine arts activities or in their estimation of the importance of fine arts activities in developing memory and the ability to learn other subjects. There is a statistically significant gender difference in the estimation of participation in fine arts activities, as well as in the estimation of the importance of fine arts activities in developing memory and the ability to learn other subjects. It can be concluded that respondents were unable to estimate how much or why they would use competencies gained in fine arts teaching in their continued education or their future careers. (shrink)

The article based on Kuhn’s paradigmatic approach and Lakatos’ methodology of scientific research programmes, analyses certain aspects of selected cognitive functions of religous beliefs. Our approach is based on the search for angalogy between scientific theories on one hand and systems of religious beliefs on the other hand. Contemporary philosophy of science demonstrates that scientific models are the products of creative analogous immagination, data are theory-laden, theories as a whole are resistent to falsification and it is hard (if at all) (...) to find reliable criterions for the selection of a paradigm. These «subjective features» are more evident within religion, since a wider range of models, greater impact of interpretations on data, greater arduousness in regard to the commitment to a paradigm and more ambiguity in the process of the selection of a paradigm, exist in this area. However, with each of these features, I see the difference between science and religion in their degree and not in absolute contrast. (shrink)

Aristotle’s notion of substance presents various problems of interpretation. Many interpreters focus mainly at the notion of primary substance, especially with regard to the difference between how Aristotle defines it in Metaphysics VII and in the Categories. The present study aims at confirming mutual compatibility of these texts and touches also the problem of knowability of the primary substance. Translation: Lukáš Novák.

Aristotelova koncepcia definície v Druhých analytikách nepredstavuje len zásadný komponent dokazovacej vedy, ale v rôznych podobách je tiež zosobnená v spisoch jednotlivých vied a významným spôsobom ovplyvňuje podobu jeho filozofických a vedeckých skúmaní. I keď je systematickému výkladu spôsobov definovania venovaná celá druhá kniha tohto spisu, plné vyjasnenie účelu definícií sa ukáže až v širšom kontexte Aristotelovho modelu vedy. Cieľom štúdie je systematická interpretácia konceptu definície a predstavenie dvoch hlavných postupov definovania na podklade metódy vedeckého skúmania v spisoch Organonu.Podobu definície (...) do značnej miery utvára povaha objektov, ktoré vstupujú do vedeckého skúmania. V prvom rade je nutné zabezpečiť definície elementárnych objektov a vlastností, ktoré konštituujú predmet vedy. V tomto význame vystupujú definície ako jeden z bezprostredných počiatkov vedeckého sylogizmu. Postavenie takzvaných bezprostredných definícií je o to význačnejšie, že ich úlohou nie je len fixovať významy elementárnych pojmov vedeckého jazyka. Aristotelova metodológia vedy je vystavaná na esencialistických základoch a definície tak majú za úlohu zachycovať všetky nutné vlastnosti popisovaného druhu objektov, pričom zároveň z výmeru vylúčia tie vlastnosti, ktoré sú pre neho náhodné. Z toho nasleduje, že jednému druhu nutne náleží len jedna úplná a adekvátna definícia, čo vedcovi umožňuje vytvoriť spoľahlivý základ pre dokazovaciu fázu skúmania zaistením pravdivých premís, ktoré vyčerpávajúcim spôsobom popisujú svoj objekt.Na opačnom konci procesu vedeckého skúmania stoja sylogistické definície. Na rozdiel od prvého typu objektu definície, ich predmety sú komplexné a esencia nie je zjavná. Nakoľko cieľom definície je práve zobrazenie esencie, Aristoteles používa dôkaz ako nástroj jej zobrazenia. V tomto kontexte uvádza príklady prírodných fenoménov zatmenia a hromu, ktorých príčina je od nich odlišná, čo vytvára potrebu tohto špecifického postupu ich uchopenia. Na podklade Aristotelovho výkladu, štúdia analyzuje tieto dva typy definovania ako integrálnu súčasť vedeckej metódy a prirodzený dôsledok potreby adekvátneho postihnutia esencie predmetu skúmania. (shrink)

Kritická stať: Vladislav Suvák: Kynizmus grécky a moderný I.

Although Slovenia is a small, relatively new nation-state, it has been justifiably called “neocorporatist” and a “coordinated market economy,” making it unique among postcommunist societies, including ten new EU member states. The authors explore how it became so, and in the process shed light on the debate between varieties of capitalism and power resources theories about how coordinated or neocorporatist economies emerge. Although several of the elements predicted by the varieties of capitalism perspective were present in Slovenia, others were not. (...) The authors also find that a significant mobilization by organized labor at a crucial point played an essential role, and overall find that power resources theory has greater explanatory power in this case. However, in turning from explaining how the Slovenian model was formed to why it was so unique among postcommunist cases, they find that specific historical legacies were critical, particularly those from the distinct Yugoslav form of communism. (shrink)