This study examined the structural validity and reliability of the DASS-21 in a large sample of secondary school students from North Macedonia. Based on theoretical and empirical considerations, five structural models were compared using confirmatory factor analysis. The original three-factor model provided good fit to the data; however, high interfactor correlations indicated that the depression, anxiety, and stress factors were indistinguishable. The bifactor solution yielded superior fit relative to other tested models. Factor loading patterns revealed a strong general factor and (...) some specificity of the depression and anxiety factors, whereas the stress items were primarily markers of general distress. Model-based reliability and ancillary bifactor indices revealed that the DASS-21 is essentially unidimensional. Thus, only the total score could be used as a reliable measure of general emotional distress, while subscale scores should be avoided. Overall, the findings provide further support for the cross-cultural validity of the DASS-21 and confirm that it is suitable for use among older adolescents in North Macedonia. (shrink)

Cognitive and emotional processes are now known to be intertwined and thus the limbic system that underlies emotions is important for human brain evolution, including the evolution of circuits supporting language. The neural substrates of limbic functions, like motivation, attention, inhibition, evaluation, detection of emotional stimuli and others have changed over time. Even though no new, added structures are present in the human brain compared to nonhuman primates, evolution tweaks existing structural systems with possible functional implications. Empirical comparative neuroanatomical evidence (...) is presented here in support of such changes in the limbic system, including the amygdala and the orbitofrontal cortex. Given their possible functional significance, these alterations may further enable and enhance human interest and motivation to communicate beyond what is seen in other primates living in complex social groups. The argument here is that even though emotion processing is likely needed for increased social complexity independent of language, the reason why humans want to talk may be related in part to the enhancement of socioemotional processes resulting from the reorganization and rewiring of underlying neural systems some of which are interconnected to the language areas. Neurodevelopmental disorders in humans affecting both language and sociability fuel such arguments. (shrink)

Hutto and Satne, Philosophia propose to redefine the problem of naturalizing semantic content as searching for the origin of content instead of attempting to reduce it to some natural phenomenon. The search is to proceed within the framework of Relaxed Naturalism and under the banner of teleosemiotics which places Ur-intentionality at the source of content. We support the proposed redefinition of the problem but object to the proposed solution. In particular, we call for adherence to Strict Naturalism and replace teleosemiotics (...) with autopoietic theory of living beings. Our argument for these adjustments stems from our analysis of the flagship properties of Ur-intentionality: specificity and directedness. We attempt to show that the first property is not unique to living systems and therefore poses a problem of where to place a demarcation line for the origin of content. We then argue that the second property is a feature ascribed to living systems, not their intrinsic part and therefore does not form a good foundation for the game of naturalizing content. In conclusion we suggest that autopoietic theory can not only provide a competitive explanation of the basic responding of pre-contentful organisms but also clarify why Ur-intentionality is attributed to them in such an intuitive manner. (shrink)

Growth mixture models are regularly applied in the behavioral and social sciences to identify unknown heterogeneous subpopulations that follow distinct developmental trajectories. Marcoulides and Trinchera recently proposed a mixture modeling approach that examines the presence of multiple latent classes by algorithmically grouping or clustering individuals who follow the same estimated growth trajectory based on an evaluation of individual case residuals. The purpose of this article was to conduct a simulation study that examines the performance of this new approach for determining (...) the number of classes in growth mixture models. The performance of the approach to correctly identify the number of classes is examined under a variety of longitudinal data design conditions. The findings demonstrated that the new approach was a very dependable indicator of classes across all the design conditions considered. (shrink)

According to the beneficiary-pays principle, the involuntary beneficiaries of injustice ought to disgorge their unjustly obtained benefits in order to compensate the victims of injustice. The paper explores the effectiveness of the above principle in establishing a robust and unique normative connection between the rectificatory duties of the beneficiaries and the rectificatory rights of the victims of injustice. I discuss three accounts of the beneficiary-pays principle according to which the rectificatory duty of the beneficiaries towards the victims is grounded in (...) (a) their duty to oppose injustice and mitigate its effects, (b) their duty to give up benefits that are causally linked to an act of wrongdoing, or (c) their duty to not sustain wrongful harm against the victims. By criticizing these accounts, I intend to highlight the complexities of articulating a distinct rectificatory duty that applies uniquely to the beneficiaries of injustice qua beneficiaries. I conclude that, while it may seem complicated to defend the beneficiary-pays principle as an independent moral principle, it is more plausible to think of it as being derivative of more general principles such as the principle of fair play. (shrink)

The potential of surveillance practices to undermine the presumption of innocence is a growing concern amongst critics of surveillance. This paper attempts to assess the impact of surveillance on the presumption of innocence. It defends an account of the presumption of innocence as a protection against wrongful criminalisation against alternatives, and considers both the ways in which surveillance might undermine that protection and the—hitherto overlooked—ways in which it might promote it. It draws on empirical work on the causes of erroneous (...) convictions to suggest that surveillance can be used in ways that prevent innocent people being erroneously charged and convicted with crimes, by providing a source of exculpatory evidence for use in police investigations. It is argued that surveillance practices do not necessarily undermine the presumption of innocence but can be reformed in ways that both reduce the risk that they will cause wrongful criminalisation and increase their power to protect those already under suspicion. (shrink)

Despite its historical focus on aberrant behavior, sexology barely dealt with sexual deviants in 1950s Czechoslovakia. Rather, sexologists treated only isolated instances of deviance. The rare cases that went to court appeared mostly because they hindered work or harmed the national economy. Two decades later, however, the situation was markedly different. Hundreds of men were labeled as sexual delinquents and sentenced for treatment in special sexological wards at psychiatric hospitals. They endangered society, so it was claimed, by being unwilling or (...) unable to conform to the family norm. The mode of subjection shifted from work to family. I analyse this change by using the tools of Gil Eyal’s sociology of expertise, which focuses on shifts in institutional matrices that bring forth new groups of agents creating new expert networks. I argue that sexology became profoundly institutionalized in the early 1970s, which brought the discipline closer to psychiatry and forensic science. New inpatient facilities were opened that could admit sentenced sexual deviants. Also, demographic changes accelerated in the 1960s, especially skyrocketing divorce rates and plummeting birth rates, which made it imperative for the government to focus on cementing the family. After the failed attempts of the Prague Spring in 1968, the new pro-Soviet government of communist Czechoslovakia did just that. During the time dubbed as ‘normalization’ by the new elites, anyone who strayed from the family norm was suspected of deviance. (shrink)

Sound-symbolism is the nonarbitrary link between the sound and meaning of a word. Japanese-speaking children performed better in a verb generalization task when they were taught novel sound-symbolic verbs, created based on existing Japanese sound-symbolic words, than novel nonsound-symbolic verbs (Imai, Kita, Nagumo, & Okada, 2008). A question remained as to whether the Japanese children had picked up regularities in the Japanese sound-symbolic lexicon or were sensitive to universal sound-symbolism. The present study aimed to provide support for the latter. In (...) a verb generalization task, English-speaking 3-year-olds were taught novel sound-symbolic verbs, created based on Japanese sound-symbolism, or novel nonsound-symbolic verbs. English-speaking children performed better with the sound-symbolic verbs, just like Japanese-speaking children. We concluded that children are sensitive to universal sound-symbolism and can utilize it in word learning and generalization, regardless of their native language. (shrink)

Alternative set theory was created by the Czech mathematician Petr Vopěnka in 1979 as an alternative to Cantor’s set theory. Vopěnka criticised Cantor’s approach for its loss of correspondence with the real world. Alternative set theory can be partially axiomatised and regarded as a nonstandard theory of natural numbers. However, its intention is much wider. It attempts to retain a correspondence between mathematical notions and phenomena of the natural world. Through infinity, Vopěnka grasps the phenomena of vagueness. Infinite sets are (...) defined as sets containing proper semisets, i.e. vague parts of sets limited by the horizon. The new interpretation extends the field of applicability of mathematics and simultaneously indicates its limits. Compared to strict finitism and other attempts at a reduction of the infinite to the finite Vopěnka’s theory reverses the process: he models the finite in the infinite. (shrink)

This article discusses findings of a qualitative study on strategies of othering observed in anti-immigrant discourse, by analysing selected examples from the UK and Polish media, together with data collected from interviews with migrants. The purpose is to identify discursive strategies of othering, which aim to categorise, denigrate, oppress and ultimately reject the stigmatised or racialised ‘other’. We do not offer a systematic comparison of the data from the UK and Poland; instead, we are interested in what is common in (...) the discursive practices of these two countries/contexts. In using newspaper together with interview data, we are combining representation and experience in identifying not only strategies of othering, but also how these are perceived by and affect the othered individuals. The paper uses the following data: 40 newspaper articles – 20 from the UK and 20 from Poland, and 19 interviews – 12 from Poland and 7 from the UK. The analysis that follows identifies five shared strategies of othering: a) Stereotyping; b) Whiteness as the norm; c) Racialisation; d) Objectification; e) Wrongly Ascribed Ethnicity. We conclude with the research limitations and outlining possible next stages, such as working with a larger corpus, investigating frequency, or including other media genres. (shrink)

This paper examines the relevance and importance of the large number of examples which Aristotle uses in his "Prior Analytics." In the first part of the paper three preliminary issues are raised: First, it investigates what counts as an example in Aristotle's syllogistic, and especially whether only examples expressed in concrete terms should be considered as examples or maybe also propositions and arguments with letters of the alphabet. The second issue concerns the kinds of examples Aristotle actually uses from everyday (...) life as well as from various scientific and philosophical forms of discourse; among these, it seems that biological examples, rather than mathematical ones, have a predominant place. Finally, I discuss what Aristotle himself has to say about the use of examples, and in particular about the similarity between the use of an example and the use of induction. The second part of the paper focusses on the functions of Aristotle's logical examples. It is of course obvious that some of the examples in the Prior Analytics are used to illustrate, and thus to clarify, a definition, a logical rule, a type of argument. However, I think that Aristotle's logical examples have another function, which is philosophically more interesting, namely as integral parts of the procedure of proving something. To support this claim, I analyse three passages from the "Prior Analytics" in which examples are used either in order to prove that something is not the case, i.e. as counter-examples, or in order to prove positively that it is possible for something to be the case. At the end, I argue that for such uses of examples Aristotle uses the notion of 'ekthesis', which seems to have a wider sense than usually suggested; that is to say, it is used to refer to any proof by means of an example, and not only for the procedure which Aristotle uses to reduce imperfect to perfect syllogisms. (shrink)

This paper examines the relevance and importance of the large number of examples which Aristotle uses in his "Prior Analytics." In the first part of the paper three preliminary issues are raised: First, it investigates what counts as an example in Aristotle's syllogistic, and especially whether only examples expressed in concrete terms should be considered as examples or maybe also propositions and arguments with letters of the alphabet. The second issue concerns the kinds of examples Aristotle actually uses from everyday (...) life as well as from various scientific and philosophical forms of discourse; among these, it seems that biological examples, rather than mathematical ones, have a predominant place. Finally, I discuss what Aristotle himself has to say about the use of examples, and in particular about the similarity between the use of an example and the use of induction. The second part of the paper focusses on the functions of Aristotle's logical examples. It is of course obvious that some of the examples in the Prior Analytics are used to illustrate, and thus to clarify, a definition, a logical rule, a type of argument. However, I think that Aristotle's logical examples have another function, which is philosophically more interesting, namely as integral parts of the procedure of proving something. To support this claim, I analyse three passages from the "Prior Analytics" in which examples are used either in order to prove that something is not the case, i.e. as counter-examples, or in order to prove positively that it is possible for something to be the case. At the end, I argue that for such uses of examples Aristotle uses the notion of 'ekthesis', which seems to have a wider sense than usually suggested; that is to say, it is used to refer to any proof by means of an example, and not only for the procedure which Aristotle uses to reduce imperfect to perfect syllogisms. (shrink)

Following François Laruelle's nonstandard philosophy and the work of Judith Butler, Drucilla Cornell, Luce Irigaray, and Rosi Braidotti, Katerina Kolozova reclaims the relevance of categories traditionally rendered "unthinkable" by postmodern feminist philosophies, such as "the real," "the one," "the limit," and "finality," thus critically repositioning poststructuralist feminist philosophy and gender/queer studies. Poststructuralist (feminist) theory sees the subject as a purely linguistic category, as _always alread_y multiple, as _always already_ nonfixed and fluctuating, as limitless discursivity, and as constitutively detached from (...) the instance of the real. This reconceptualization is based on the exclusion of and dichotomous opposition to notions of the real, the one (unity and continuity), and the stable. The non-philosophical reading of postructuralist philosophy engenders new forms of universalisms for global debate and action, expressed in a language the world can understand. It also liberates theory from ideological paralysis, recasting the real as an immediately experienced human condition determined by gender, race, and social and economic circumstance. (shrink)

This paper, located in the traditions of Interactional Sociolinguistics (Gumperz 1982) and Social Constructionism (Berger and Luckmann 1966), explores code-switching and identity practices amongst British-born Greek-Cypriots. The speakers, members of a Greek-Cypriot youth organization, are fluent in English and (with varying levels of fluency) speak the Greek-Cypriot Dialect. Qualitative analyses of recordings of natural speech during youth community meetings and a social event show how a new ‘third space’ becomes reified through code-switching practices. By skillfully manipulating languages and styles, speakers (...) draw on Greek-Cypriot cultural resources to accomplish two inter-related things. First, by displaying knowledge of familiar Greek-Cypriot cultural frames, they establish themselves as different from mainstream British society and establish solidarity as an in-group. Secondly, by using these frames in non-serious contexts, and at times mocking cultural attitudes and stereotypes, they challenge and re-appropriate their inherited Greek-Cypriot identity, thereby constructing the identity of British-born Greek-Cypriot youth. (shrink)

Thought experiments being central to contemporary philosophy and science, the following questions were asked in recent literature. What is their definition? Are they heuristic devices, arguments, paradoxes? Are they comparable to real experiments? Do intuition and conceivability intervene? Equally imaginative thought experiments are found in ancient, medieval, and Renaissance texts. Paying attention to prime historical examples of thought experiments, we show that historical perspectives help answer these general questions.

Katerina Deligiorgi offers a contemporary defence of autonomy which is Kantian but engages closely with recent arguments about agency, morality, and practical reasoning.

International law lacks many of the standard features of domestic law. There are few legislative or judicial bodies with exclusive authority over particular jurisdictions or subject matters, the subjects regulated by international law typically must affirmatively consent to be bound by it, and supranational authorities with the power to coerce states to comply with international obligations are rare. How can a legal system with these features generate changes in state behavior? For many theories, the ability of international law to inform (...) and change individual preferences provides the answer. When voters care that treaty commitments be kept, or that international norms be honored, the theory goes, leaders are more likely to be able to make choices consistent with international obligations. Over the last decade, a literature has emerged testing these theories using surveys and experiments embedded in surveys. Multiple U.S. studies find that international law and international norm arguments shift public opinion in the direction of greater compliance by 4 to 20 percentage points. However, studies in foreign contexts are more mixed, with some backlash reported in countries in which international law is highly politicized. This Article describes the state of current knowledge about whether international law actually does change preferences, explains the limitations with existing research, and proposes avenues for future study. (shrink)

Studie se věnuje otázce po ontologickém statusu ideálního, potažmo fenomenálního prostoru v pojetí Gottfrieda Wilhelma Leibnize. Nejprve bude ujasněno, v jakém smyslu lze podle Leibnize za prostor v pravém slova smyslu považovat primárně pouze prostor ideální, sekundárně však rovněž prostor fenomenální. Posléze se vymezím zejména vůči takovým interpretacím leibnizovského ideálního prostoru, které v něm spatřují předzvěst prostoru kantovského. Leibnizův ideální, matematický prostor zde totiž bude přirovnán spíše k prostoru suárezovskému, případně hobbesovskému, nikoli však kantovskému.

Byzantine philosophy is an almost unexplored field. Being regarded either as mere scholars or as primarily religious thinkers, Byzantine philosophers have not been studied on their own philosophical merit. The eleven contributions in this volume, which cover most periods of Byzantine culture from the 4th to the 15th century, for the first time systematically investigate the attitude the Byzantines took towards the views of ancient philosophers, to uncover the distinctive character of Byzantine thought.

The essay concerns the highly controversial pamphlet of Rosa Luxemburg The Russian Revolution, in which Luxemburg criticizes Lenin’s post-revolutionary policies, in particular his dissolution of the Constituent Assembly, an elected body. The essay reviews the history of the text’s publication and the intense debate, which continues to this day, over whether or not Luxemburg changed her mind on its central critique. At stake in the argument is not only Luxemburg’s evaluation of Lenin’s actions but also the correct weighting to be (...) given to the two components in the central Marxist–Leninist dialectic of revolution: spontaneity and consciousness. In elaborating this point the essay brings in examples from the writings of Lukács and Stalin, and also discusses the dialectic’s centrality in socialist realism. (shrink)

In his Foundations of a General Theory of Manifolds, Georg Cantor praised Bernard Bolzano as a clear defender of actual infinity who had the courage to work with infinite numbers. At the same time, he sharply criticized the way Bolzano dealt with them. Cantor’s concept was based on the existence of a one-to-one correspondence, while Bolzano insisted on Euclid’s Axiom of the whole being greater than a part. Cantor’s set theory has eventually prevailed, and became a formal basis of contemporary (...) mathematics, while Bolzano’s approach is generally considered a step in the wrong direction. In the present paper, we demonstrate that a fragment of Bolzano’s theory of infinite quantities retaining the part-whole principle can be extended to a consistent mathematical structure. It can be interpreted in several possible ways. We obtain either a linearly ordered ring of finite and infinitely great quantities, or a partially ordered ring containing infinitely small, finite and infinitely great quantities. These structures can be used as a basis of the infinitesimal calculus similarly as in non-standard analysis, whether in its full version employing ultrafilters due to Abraham Robinson, or in the recent “cheap version” avoiding ultrafilters due to Terence Tao. (shrink)

This book collects a series of important new studies on one of the richest and most influential intellectual traditions of antiquity. Leading scholars combine careful analytical attention to the original texts with historical sensitivity and philosophical acuity to point the way to a better understanding of Stoic ethics, political theory, logic, and science.

Phenotypic plasticity is a crucial feature of aggressive cancer, providing the means for cancer progression. Stochastic changes in tumor cell transcriptional programs increase the chances of survival under any condition. I hypothesize that unstable chromatin permits stochastic transitions between transcriptional programs in aggressive cancers and supports non‐genetic heterogeneity of tumor cells as a basis for their adaptability. I present a mechanistic model for unstable chromatin which includes destabilized nucleosomes, mobile chromatin fibers and random enhancer‐promoter contacts, resulting in stochastic transcription. I (...) suggest potential markers for “unsettled” chromatin in tumors associated with poor prognosis. Although many of the characteristics of unstable chromatin have been described, they were mostly used to explain changes in the transcription of individual genes. I discuss approaches to evaluate the role of unstable chromatin in non‐genetic tumor cell heterogeneity and suggest using the degree of chromatin instability and transcriptional noise in tumor cells to predict cancer aggressiveness. (shrink)

The ethics of policing currently neglects to provide a framework for analysing the morality of deliberate inactions to prevent harm, even though these are often adopted tactically by police as a means of preventing greater harms. In this paper we argue (a) that police have special moral obligations to prevent harm, grounded both in a contractarian account of police legitimacy and in the interpersonal morality of associations and (b) that police are morally culpable for failures to fulfil these special obligations (...) when these are neither proportionate nor necessary to the prevention of greater crime-related harms. Our claims have implications both for the morality of policing and for its regulation and governance under human rights legislation, which we argue should be reformed so as to recognise police culpability not only for inflictions of harm, but also for failures to prevent it. (shrink)

Over the course of 40 years of state socialism, the explanation that Czechoslovak criminologists gave for spousal murder changed significantly. Initially attributing offences to the perpetrator's class origins, remnants of his bourgeois way of life, and the lack of positive influence from the collective in the long 1950s, criminologists then refocused their attention solely on the individual's psychopathology during the period known as ‘Normalization’, which encompassed the last two decades of state socialism. Based on an analysis of archival sources, including (...) scholarly journals and expert reports, and following Ian Hacking's insight that ‘kinds of people come into being’ through the realignment of systems of knowledge, this article shows how new kinds of spousal murderer emerged as a result of shifting criminological expertise. We explain the change as the result of the psychiatrization of criminology that occurred in Czechoslovakia at a time when the regime needed to consolidate after the upheavals of the Prague Spring of 1968. The criminological framing of spousal murder as belonging squarely in the individualized realm of the private sphere reflected the contemporaneous effort of the regime to enclose the private as a sphere of relative state non-interference. (shrink)

Recent scandals in U.K. undercover policing have prompted a public re-examination of the basis for continued secrecy with respect to cases in which serious historical misconduct is suspected. As pa...

In this essay I will attempt to explain the relation between the rule of law and the economic development. First I will describe the rule of law and its role through the years. Then, I will continue with the connection between economic development and the rule of law. I will try to clarify Macedonia’s legal framework and emphasize the constitution and its role regarding the rule of law and economic development. Latter, I will focus on the EU’s report on our (...) economy in our journey towards the union. And finally I will give something to think about for future researchers. (shrink)

This study aims to portray the self of the sacrificial subject, specifically the feminine sacrificial self. The Christian discourse on sacrifice is dominated by the scholarship of René Girard and his followers. This study briefly presents Girard’s approach and pinpoints its weaknesses in order to complement it with the work of Julia Kristeva and Jan Patočka. All these approaches, taken together, provide a complex picture of what the autonomous feminine sacrificial self looks like. Starting from thorough theoretical and analytical analyses (...) of Girard, Kristeva and Patočka, this study then applies their insights through the particular example of the feminine sacrificial self of Milada Horáková. The example of this political prisoner and victim of a Stalinist showtrial in 1950s Czechoslovakia aptly illustrates the uniqueness of the feminine sacrificial self. (shrink)

Studie se věnuje otázce po ontologickém statusu ideálního, potažmo fenomenálního prostoru v pojetí Gottfrieda Wilhelma Leibnize. Nejprve bude ujasněno, v jakém smyslu lze podle Leibnize za prostor v pravém slova smyslu považovat primárně pouze prostor ideální, sekundárně však rovněž prostor fenomenální. Posléze se vymezím zejména vůči takovým interpretacím leibnizovského ideálního prostoru, které v něm spatřují předzvěst prostoru kantovského. Leibnizův ideální, matematický prostor zde totiž bude přirovnán spíše k prostoru suárezovskému, případně hobbesovskému, nikoli však kantovskému.

Claude Perrault, a founding member of the Académie des sciences and architect of the Louvre, is a figure emblematic of architecture’s transformation by the so-called scientific revolution, representing a radical break with tradition. This article will address Perrault’s scientific challenge to architecture as one that harks back to both ancient and modern sources. It explores some ways in which Perrault integrated the analogy between medicine and architecture into his approach to this art and assimilated medical concepts, particularly observation, into an (...) empirical medical approach. This notion of observation was at the heart of the practical aspect of ancient philosophy as a care of the soul which articulated the ancient comparison of the charismatic orator to a doctor. Thus, Perrault’s remarks on Vitruvius’s authority can be broadened beyond architecture to the quest for a guide to living, transcending disciplinary boundaries between natural science and art. Further, Perrault’s claims for naturalness in observation share a double perspective: observation as a new form of learned experience reflects the ethos of the scientist, while, as a traditional activity of peasants, it reflects a raw empirical knowledge about rules of life condensed into habit and custom, enabling common people to be the physicians of themselves. (shrink)

In this essay, I propose that DNA‐binding anti‐cancer drugs work more via chromatin disruption than DNA damage. Success of long‐awaited drugs targeting cancer‐specific drivers is limited by the heterogeneity of tumors. Therefore, chemotherapy acting via universal targets (e.g., DNA) is still the mainstream treatment for cancer. Nevertheless, the problem with targeting DNA is insufficient efficacy due to high toxicity. I propose that this problem stems from the presumption that DNA damage is critical for the anti‐cancer activity of these drugs. DNA (...) in cells exists as chromatin, and many DNA‐targeting drugs alter chromatin structure by destabilizing nucleosomes and inducing histone eviction from chromatin. This effect has been largely ignored because DNA damage is seen as the major reason for anti‐cancer activity. I discuss how DNA‐binding molecules destabilize chromatin, why this effect is more toxic to tumoral than normal cells, and why cells die as a result of chromatin destabilization. (shrink)

Is surveillance that is targeted towards specific individuals easier to justify than surveillance that targets broad categories of people? Untargeted surveillance is routinely accused of treating innocent people as suspects in ways that are unfair and of failing to pursue security effectively. I argue that in a wide range of cases untargeted surveillance treats people less like suspects than more targeted alternatives. I also argue that it often deters unwanted behaviour more effectively than targeted alternatives, including profiling. In practice, untargeted (...) surveillance is likely to be least costly morally and most efficient when used as a means of enforcing the rules of a specific activity or institution. Targeted alternatives are likely to be more appropriate means of law enforcement. (shrink)

The paper introduces the notion of size of countable sets, which preserves the Part-Whole Principle. The sizes of the natural and the rational numbers, their subsets, unions, and Cartesian products are algorithmically enumerable as sequences of natural numbers. The method is similar to that of Numerosity Theory, but in comparison it is motivated by Bolzano’s concept of infinite series, it is constructive because it does not use ultrafilters, and set sizes are uniquely determined. The results mostly agree, but some differ, (...) such as the size of rational numbers. However, set sizes are only partially, not linearly, ordered. Quid pro quo. (shrink)