We study properties of certain subclasses of the Dedekind finite sets in set theory without the axiom of choice with respect to the comparability of their elements and to the boundedness of such classes, and we answer related open problems from Herrlich’s “The Finite and the Infinite.” The main results are as follows: 1. It is relatively consistent with ZF that the class of all finite sets is not the only finiteness class such that any two of its elements (...) are comparable. 2. The principle “Small Violations of Choice” —introduced by A. Blass—implies that the class of all Dedekind finite sets is bounded above. 3. “The class of all Dedekind finite sets is bounded above” is true in every permutation model of ZFA in which the class of atoms is a set, and in every symmetric model of ZF. 4. There exists a model of ZFA set theory in which the class of all atoms is a proper class and in which the class of all infinite Dedekind finite sets is not bounded above. 5. There exists a model of ZF in which the class of all infinite Dedekind finite sets is not bounded above. (shrink)

We investigate in ZF conditions that are necessary and sufficient for countable products ∏m∈ℕXm of finite Hausdorff spaces Xm resp. Hausdorff spaces Xm with at most n points to be compact resp. Baire. Typica results: Countable products of finite Hausdorff spaces are compact if and only if countable products of non-empty finite sets are non-empty. Countable products of discrete spaces with at most n + 1 points are compact if and only if countable products of non-empty sets with at most (...) n points are non-empty. (shrink)

In the setting of ZF, i.e., Zermelo–Fraenkel set theory without the Axiom of Choice , we study partitions of Russell-sets into sets each with exactly n elements , for some integer n. We show that if n is odd, then a Russell-set X has an n -ary partition if and only if |X | is divisible by n. Furthermore, we establish that it is relative consistent with ZF that there exists a Russell-set X such that |X | is not divisible (...) by any finite cardinal n > 1. (shrink)

It is shown that in ZF set theory the axiom of choice holds iff every non empty topological space has a maximal closed filter.

It is shown that in ZF Martin's -axiom together with the axiom of countable choice for finite sets imply that arbitrary powers 2X of a 2-point discrete space are Baire; and that the latter property implies the following: (a) the axiom of countable choice for finite sets, (b) power sets of infinite sets are Dedekind-infinite, (c) there are no amorphous sets, and (d) weak forms of the Kinna-Wagner principle.

It is shown that in ZF Martin's $ \aleph_{0}^{}$-axiom together with the axiom of countable choice for finite sets imply that arbitrary powers 2X of a 2-point discrete space are Baire; and that the latter property implies the following: the axiom of countable choice for finite sets, power sets of infinite sets are Dedekind-infinite, there are no amorphous sets, and weak forms of the Kinna-Wagner principle.

Many virtue epistemologists conceive of epistemic competence on the model of skill —such as archery, playing baseball, or chess. In this paper, I argue that this is a mistake: epistemic competences and skills are crucially and relevantly different kinds of capacities. This, I suggest, undermines the popular attempt to understand epistemic normativity as a mere special case of the sort of normativity familiar from skilful action. In fact, as I argue further, epistemic competences resemble virtues rather than skills—a claim that (...) is based on an important, but often overlooked, difference between virtue and skill. The upshot is that virtue epistemology should indeed be based on virtue, not on skill. (shrink)

Epistemic constitutivism (EC) holds that the nature of believing is such that it gives rise to a standard of correctness and that other epistemic normative notions (e.g., reasons for belief) can be explained in terms of this standard. If defensible, this view promises an attractive and unifying account of epistemic normativity. However, EC faces a forceful objection: that constitutive standards of correctness are never enough for generating normative reasons. This paper aims to defend EC in the face of this objection. (...) I do so in two steps. First, I dispute a crucial assumption underlying the case against EC: that constitutive standards of correctness in general are ‘reason-giving’ only if and because there is also a prior reason to comply with them. Second, I outline a strategy of how EC can meet the challenge of explaining what’s special about the activity of believing such that, unlike other standard-governed activities, it is capable of generating normative reasons. (shrink)

Someone acts in a morally worthy way when they deserve credit for doing the morally right thing. But when and why do agents deserve credit for the success involved in doing the right thing? It is tempting to seek an answer to that question by drawing an analogy with creditworthy success in other domains of human agency, especially in sports, arts, and crafts. Accordingly, some authors have recently argued that, just like creditworthy success in, say, chess, playing the piano, or (...) archery, creditworthy moral success is a matter of getting things right by way of manifesting a relevant skill. My main aim in this paper is to bring out an important structural difference between moral creditworthiness and creditworthiness in sports, arts, and craft, undermining attempts to use examples of the latter as a model for understanding the former. As an alternative, I propose an account of morally creditworthy action, according to which such action is a matter of manifesting virtue, not skill—a claim that's based on an important, but underappreciated, difference between the sorts of excellences constituting virtues and skills. The paper thus contributes to a more nuanced picture of normative achievements across different domains of human agency, highlighting largely overlooked structural dissimilarities among them. (shrink)

Aufgrund sorgfältiger Untersuchung in phänomenologischer Erkenntnishaltung können die Struktur des Lysis, die künstlerisch-ideelle Gedankenbewegung und damit die Einheit von philosophisch-künstlerischer Gestalt und philosophischem Gehalt des Dialoges in einer strengeren Weise erfasst werden als bisher. Dadurch werden ganz neue Beziehungen zu Gestalt und Gehalt der Politeia sichtbar. Sie erlauben im Verein mit grundsätzlichen Überlegungen zur Methode der datierenden Sprachstatistik und weiteren Beobachtungen, den Lysis chronologisch nach der Politeia anzusetzen - in der Trilogie Phaidros - Lysis - Euthydemos. So können die interpretatorischen (...) Einschränkungen durch das Vorurteil, der Lysis sei ein Frühdialog, überwunden werden. Die positive Interpretation des Dialoges und ihre Vertiefung durch die platonische Prinzipienlehre werden damit auf ungewohnte Weise stärker begründet. (shrink)

Fifty years ago Hartman studied the barrier transmission time of wave packets (J Appl Phys 33:3427–3433, 1962). He was inspired by the tunneling experiments across thin insulating layers at that time. For opaque barriers he calculated faster than light propagation and a transmission time independent of barrier length, which is called the Hartman effect. A faster than light (FTL or superluminal) wave packet velocity was deduced in analog tunneling experiments with microwaves and with infrared light thirty years later. Recently, the (...) conjectured zero time of electron tunneling was claimed to have been observed in ionizing helium inside the barrier. The calculated and measured short tunneling time arises at the barrier front. This tunneling time was found to be universal for elastic fields as well as for electromagnetic fields. Remarkable is that the delay time is the same for the reflected and the transmitted waves in the case of symmetric barriers. Several theoretical physicists predicted this strange nature of the tunneling process. However, even with this background many members of the physics community do not accept a FTL signal velocity interpretation of the experimental tunneling results. Instead a luminal front velocity was calculated to explain the FTL experimental results frequently. However, Brillouin stated in his book on wave propagation and group velocity that the front velocity is given by the group velocity of wave packets in the case of physical signals, which have only finite frequency bandwidths. Some studies assumed barriers to be cavities and the observed tunneling time does represent the cavity lifetime. We are going to discus these continuing misleading interpretations, which are found in journals and in textbooks till today. (shrink)

Expulsion of senses. Acustic spaces: call and listening in interpretive sociology. Following the 'mental constructs' that are illustrative for Max Weber's Idealtypologie, the 'acustic spaces' in the cultural concept of education are developed. The study is an analysis of the organization of command and obedience in Weber's sociology of domination. His interpretive sociology is taken from Martin Heidegger. Another subject of the paper is an excursion into the sociology of music of Weber and Adorno. In the acoustic sounds of music, (...) especially in the organ and piano works, we find the process of rationalization of the Western culture. (shrink)

English summary: The relationship between science and politics can hardly be reduced to a simple formula. On one hand they appear to be completely separate systems that follow only their own internal logic. On the other hand, mutual references can be identified. It is quite possible to consistently align political decisions to scientific evidence, whereby the autonomy and the legitimacy of democratic policy would however inevitably be affected. In four sections the relationship between science and politics are analyzed under the (...) viewpoint of a specific key question: Does true policy require powerful decision and therefor specifically the absence of science? And is science not conversely determined by it being free of value and policy? What about concepts that tend to want to replace policy with science? Finally, there is the question of what legitimate role science can play in today's politics, and whether this can be in the form of policy advice. This book, with contributions from renowned authors from different disciplines, is systematically devoted to answering these questions. German text. German description: Das Verhaltnis zwischen Wissenschaft und Politik ist kaum auf eine einfache Formel zu bringen. Einerseits erscheinen sie als vollig getrennte Systeme, die nur ihrer eigenen inneren Logik folgen. Andererseits lassen sich wechselseitige Bezugnahmen ausmachen. So ist durchaus denkbar, politische Entscheidungen konsequent an wissenschaftlichen Erkenntnissen auszurichten, wodurch aber unweigerlich die Autonomie auch und gerade demokratisch legitimierter Politik betroffen wuerde.In vier Sektionen wird das Verhaltnis von Wissenschaft und Politik unter einer bestimmten Leitfrage analysiert: Setzt wahre Politik kraftvolle Dezision und somit gerade die Abwesenheit von Wissenschaft voraus? Und ist Wissenschaft nicht umgekehrt durch ihre Wert- und damit Politikfreiheit bestimmt? Wie steht es um Konzepte, die Politik tendenziell durch Wissenschaft ersetzen wollen? Schliesslich fragt sich, welche legitime Rolle Wissenschaft heutzutage in der Politik spielen kann, etwa in Form der Politikberatung.Der Band mit Beitragen renommierter Autoren unterschiedlicher Disziplinen geht diesen Problemkonstellationen in systematischer Weise nach. (shrink)

This paper provides an analysis of U.S. farmland owners, operators, and workers by race, ethnicity, and gender. We first review the intersection between racialized and gendered capitalism and farmland ownership and farming in the United States. Then we analyze data from the 2014 Tenure and Ownership Agricultural Land survey, the 2012 Census of Agriculture, and the 2013–2014 National Agricultural Worker Survey to demonstrate that significant nation-wide disparities in farming by race, ethnicity and gender persist in the U.S. In 2012–2014, White (...) people owned 98% and operated 94% of all farmland. They generated 98% of all farm-related income from land ownership and 97% of income from farm owner-operatorship. Meanwhile, People of Color farmers were more likely to be tenants rather than owners, owned less land, and generated less farm-related wealth per person than their White counterparts. Hispanic farmers were also disproportionately farm laborers. In addition to racial and ethnic disparities, there were disparities by gender. About 63% of non-operating landowners, 86% of farm operators, and 87% of tenant farmers were male, and female farmers tended to generate less income per farmer than men. This data provides evidence of ongoing racial, ethnic and gender disparities in agriculture in the United States. We conclude with a call to address the structural drivers of the disparities and with recommendations for better data collection. (shrink)