BackgroundGenealogical research and ancestry testing are popular recreational activities but little is known about the impact of the use of these services on clients’ biological and social families. Ancestry databases are being enriched with self-reported data and data from deoxyribonucleic acid analyses, but also are being linked to other direct-to-consumer genetic testing and research databases. As both family history data and DNA can provide information on more than just the individual, we asked whether companies, as a part of the (...) consent process, were informing clients, and through them clients’ relatives, of the potential implications of the use and linkage of their personal data.MethodsWe used content analysis to analyse publically-available consent and informational materials provided to potential clients of ancestry and direct-to-consumer genetic testing companies to determine what consent is required, what risks associated with participation were highlighted, and whether the consent or notification of third parties was suggested or required.ResultsWe identified four categories of companies providing: 1) services based only on self-reported data, such as personal or family history; 2) services based only on DNA provided by the client; 3) services using both; and 4) services using both that also have a research component. The amount of information provided on the potential issues varied significantly across the categories of companies. ‘Traditional’ ancestry companies showed the greatest awareness of the implications for family members, while companies only asking for DNA focused solely on the client. While in some cases companies included text recommending clients inform their relatives, showing they recognised the issues, often it was located within lengthy terms and conditions or privacy statements that may not be read by potential clients.ConclusionsWe recommend that companies should make it clearer that clients should inform third parties about their plans to participate, that third parties’ data will be provided to companies, and that that data will be linked to other databases, thus raising privacy and issues on use of data. We also suggest investigating whether a ‘generational consent’ should be created that would include more than just the individual in decisions about participating in genetic investigations. (shrink)

Tree-chopping in the Aeneid has long been seen as a disturbingly violent symbol of the Trojans' colonization of Italy. The paper proposes a new reading of the poem which sees Aeneas as progressive extirpator not just of foreign rivals but also of his own Trojan relatives. Although the Romans had no family “trees” as such, their genealogical stemmata (“garlands”) had “branches” (rami) and “stock” (stirps), and their vocabulary of family relationships takes many of its metaphors from planting, (...) adoption, and uprooting, while plant life is often described in human metaphors. Imperial historians use the growth and collapse of trees to mark the rise and fall of dynasties; natural historians like Columella and Pliny use metaphors of adoption, abortion, and adultery to characterize the perversions of agriculture and horticulture. It is thus no coincidence that Aeneas' encounters with Hector, Priam, Deiphobus, and others often take place against a background of real or metaphorical trees (tree similes, headless or mutilated human trunks, ancient trees and woods). These encourage us to see an element of dynastic encroachment in scenes that look pious and peaceable but confirm Aeneas' ascendancy and claim to Trojan succession. The Polydorus episode in particular can be read not just as a grotesque interlude but as a nightmare about endlessly reproducing heirs; one loose strand from Priam's house is allowed to remain, while Virgil deals imperfectly with the problem of Aeneas' own successors. The paper ends by re-examining Virgil's account of grafting in Georgics 2 and arguing that it is viewed positively, perhaps in order to cast Augustus' adoption of heirs as a miracle solution. (shrink)

There is no hint in either work that any of the information contained in this reconstruction of family relationships might be open to serious question. It is the purpose of this note to suggest that this is none the less the case. The problem concerns the supposed wives and children of Isokratesü adoptive son Aphareus. The information presented on this subject depends on two passages of the pseudo-Plutarchan Vitae Decem Oratorum. The first is a list of members of the (...) family buried in Kynosarges, which mentions Isokratesü. (shrink)

This chapter focuses on the different styles of moral relativism. The history of moral relativist thinking features different branches to the family tree, each representing a different impetus to relativism, and so producing a different style of moral relativist thought. At the root, however, is a broadly subjectivist parent idea that morality is at least in part the upshot of a shared way of life, and shared ways of life tend to vary markedly from culture to culture. The (...) discussions cover the branches of moral historicism, moral reasons, moral truth, and moral plurality. (shrink)

The present work proposes to investigate, through an analysis of certain artistic works, the reasons that led Giovanni of Capestrano to be included, or not included, in the Franciscan family tree. After engaging the same theme with respect to the early martyrs of the Order of Friars Minor,1 and, more recently, the representation of Saint Louis of Toulouse in the subject under investigation,2 this investigation of the figure of the friar from Abruzzo represents a further opportunity to propose (...) certain artistic examples - and doing so without any pretense of an exhaustive presentation, in light of the limits of space allowed here - in the hopes of proposing a path for future research that might be followed in later... (shrink)

In this note we consider subfamilies of the ideal s0 introduced by Marczewski-Szpilrajn and ideals sp0, l0 analogously defined using complete Laver trees and Laver trees respectively. We show that under some set-theoretical assumptions =c\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${cov=\mathfrak{c}}$$\end{document} for example) in every uncountable Polish space X every family A⊆s0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal{A}\subseteq s_0}$$\end{document} covering X has a subfamily with s-nonmeasurable union. We show the consistency of cov=ω1 (...) \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${cov=\omega_1 < \mathfrak{c}}$$\end{document} with the existence of a partition A∈[s0]ω1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal{A}\in[s_0]^{\omega_1}}$$\end{document} of the real line with a subfamily A′⊆A\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal{A}'\subseteq\mathcal{A}}$$\end{document} for which ⋃A′\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\bigcup\mathcal{A}'}$$\end{document} is s-nonmeasurable. We also show that it is relatively consistent with ZFC that ω1family A\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal{A}}$$\end{document} in the Baire space such that ⋃A\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\bigcup\mathcal{A}}$$\end{document} is sp-nonmeasurable. Under CH we show that there is m.a.d. family A\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal{A}}$$\end{document} in Baire space which is not l-measurable and the same result holds for the ideal sp0. Finally we prove the consistency of covshrink)

Software defects prediction at the initial period of the software development life cycle remains a critical and important assignment. Defect prediction and correctness leads to the assurance of the quality of software systems and has remained integral to study in the previous years. The quick forecast of imperfect or defective modules in software development can serve the development squad to use the existing assets competently and effectively to provide remarkable software products in a given short timeline. Hitherto, several researchers have (...) industrialized defect prediction models by utilizing statistical and machine learning techniques that are operative and effective approaches to pinpoint the defective modules. Tree family machine learning techniques are well-thought-out to be one of the finest and ordinarily used supervised learning methods. In this study, different tree family machine learning techniques are employed for software defect prediction using ten benchmark datasets. These techniques include Credal Decision Tree, Cost-Sensitive Decision Forest, Decision Stump, Forest by Penalizing Attributes, Hoeffding Tree, Decision Tree, Logistic Model Tree, Random Forest, Random Tree, and REP-Tree. Performance of each technique is evaluated using different measures, i.e., mean absolute error, relative absolute error, root mean squared error, root relative squared error, specificity, precision, recall, F-measure, G-measure, Matthew’s correlation coefficient, and accuracy. The overall outcomes of this paper suggested RF technique by producing best results in terms of reducing error rates as well as increasing accuracy on five datasets, i.e., AR3, PC1, PC2, PC3, and PC4. The average accuracy achieved by RF is 90.2238%. The comprehensive outcomes of this study can be used as a reference point for other researchers. Any assertion concerning the enhancement in prediction through any new model, technique, or framework can be benchmarked and verified. (shrink)

The research presented in this paper was motivated by our aim to study a problem due to J. Bourgain [3]. The problem in question concerns the uniform boundedness of the classical separation rank of the elements of a separable compact set of the first Baire class. In the sequel we shall refer to these sets (separable or non-separable) as Rosenthal compacta and we shall denote by ∝(f) the separation rank of a real-valued functionfinB1(X), withXa Polish space. Notice that in [3], (...) Bourgain has provided a positive answer to this problem in the case ofKsatisfyingwithXa compact metric space. The key ingredient in Bourgain's approach is that whenever a sequence of continuous functions pointwise converges to a functionf, then the possible discontinuities of the limit function reflect a local ℓ1-structure to the sequence (fn)n. More precisely the complexity of this ℓ1-structure increases as the complexity of the discontinuities offdoes. This fruitful idea was extensively studied by several authors (c.f. [5], [7], [8]) and for an exposition of the related results we refer to [1]. It is worth mentioning that A.S. Kechris and A. Louveau have invented the rank rND(f) which permits the link between thec0-structure of a sequence (fn)nof uniformly bounded continuous functions and the discontinuities of its pointwise limit. Rosenthal'sc0-theorem [11] and thec0-index theorem [2] are consequences of this interaction.Passing to the case where either (fn)nare not continuous orXis a non-compact Polish space, this nice interaction is completely lost. (shrink)

_Forest Family_ highlights the importance of old-growth forests to Australian art, community, culture, history, and politics. The volume will be of interest to general readers of environmental history, as well as scholars in critical plant studies and the environmental humanities.

Previous studies have been split over how to view family owners’ CSR engagement, arguing that they either engage in or disengage from CSR based on different motives (i.e., preserving socio-emotional wealth vs. seeking rent expropriation). Focusing on family owners in business groups, this study integrates these divergent views. We hypothesize that family owners would pursue both motives simultaneously by optimizing the level of CSR of each affiliated firm depending on their ownership level. Furthermore, we argue that this (...) tendency is moderated by group-level contexts. Using a sample of Korean business groups, we found that family ownership is negatively associated with affiliated firms’ CSR. Also, this negative relationship is more pronounced when firms belong to business groups with more charitable corporate foundations and when business networks are greater in their scope and scale. This study contributes to the literature by offering a more complete understanding of how family owners make CSR decisions in business group contexts. (shrink)

Suppose that is a normalized family in a Banach space indexed by the dyadic tree S. Using Stern's combinatorial theorem we extend important results from sequences in Banach spaces to tree‐families. More precisely, assuming that for any infinite chain β of S the sequence is weakly null, we prove that there exists a subtree T of S such that for any infinite chain β of T the sequence is nearly (resp., convexly) unconditional. In the case where is (...) a family of continuous functions, under some additional assumptions, we prove the existence of a subtree T of S such that for any infinite chain β of T, the sequence is unconditional. Finally, in the more general setting where for any chain β, is a Schauder basic sequence, we obtain a dichotomy result concerning the semi‐boundedly completeness of the sequences. (shrink)

Peerages and baronetages were successful commercial directories sold by a number of prominent London booksellers from the beginning of the 18th century. They provided an account of most titled families (peers as well as baronets). As serial publications, they were intended for a larger public in need of identification tools in a context of expanding urban sociability and of major recomposition within the elites. In these pocket books, there were no longer the elaborate tree diagrams that had ornamented most (...) of the visitation books of the College of Arms, and which still could be found among ancient family papers. This transition was required for technical, commercial, and also ideological reasons. The selling point for publishers was to provide an up-to-date account of the ‘modern’ families, which could be better achieved through alphabetical listings, biographical discourses, or tabular charts. However, this formal reconfiguration led to many criticisms. These family directories were accused of compromising the dignity of titled families. The idea of a lost Golden Age when ancient lineages had been exhibited on stone, wooden panels, or vellum regained some appeal among social commentators. After 1760, with the renewal of radicalism and the onset of the age of revolutions, tree thinking came to be rehabilitated, but was also reinvented to better defend and naturalise social hierarchies. In this context, trees were increasingly used as powerful national emblems and less as dynastic emblems. The changing fortunes of family trees in 18th-century British prints enable us to reflect on the ideological aspects of the visualisation of kinship. (shrink)

We study descriptive set theory in the space ω1 ω 1 by letting trees with no uncountable branches play a similar role as countable ordinals in traditional descriptive set theory. By using such trees, we get, for example, a covering property for the class of Π 1 1 -sets of ω1 ω 1 . We call a family U of trees universal for a class V of trees if $\mathscr{U} \subseteq \mathscr{V}$ and every tree in V can be (...) order-preservingly mapped into a tree in U. It is well known that the class of countable trees with no infinite branches has a universal family of size ℵ 1 . We shall study the smallest cardinality of a universal family for the class of trees of cardinality ≤ℵ 1 with no uncountable branches. We prove that this cardinality can be 1 (under ¬CH) and any regular cardinal κ which satisfies ℵ 2 ≤ κ ≤ 2 ℵ 1 (under CH). This bears immediately on the covering property of the Π 1 1 -subsets of the space ω1 ω 1 . We also study the possible cardinalities of definable subsets of ω1 ω 1 . We show that the statement that every definable subset of ω1 ω 1 has cardinality $ or cardinality 2 ω1 is equiconsistent with ZFC (if n ≥ 3) and with ZFC plus an inaccessible (if n = 2). Finally, we define an analogue of the notion of a Borel set for the space ω1 ω 1 and prove a Souslin-Kleene type theorem for this notion. (shrink)

We study descriptive set theory in the space $^{\omega_1}\omega_1$ by letting trees with no uncountable branches play a similar role as countable ordinals in traditional descriptive set theory. By using such trees, we get, for example, a covering property for the class of $\Pi^1_1$-sets of $^{\omega_1}\omega_1$. We call a family $\mathscr{U}$ of trees universal for a class $\mathscr{V}$ of trees if $\mathscr{U} \subseteq \mathscr{V}$ and every tree in $\mathscr{V}$ can be order-preservingly mapped into a tree in $\mathscr{U}$. (...) It is well known that the class of countable trees with no infinite branches has a universal family of size $\aleph_1$. We shall study the smallest cardinality of a universal family for the class of trees of cardinality $\leq\aleph_1$ with no uncountable branches. We prove that this cardinality can be 1 (under $\neg$CH) and any regular cardinal $\kappa$ which satisfies $\aleph_2 \leq \kappa \leq 2^{\aleph_1}$ (under CH). This bears immediately on the covering property of the $\Pi^1_1$-subsets of the space $^{\omega_1}\omega_1$. We also study the possible cardinalities of definable subsets of $^{\omega_1}\omega_1$. We show that the statement that every definable subset of $^{\omega_1}\omega_1$ has cardinality $<\omega_n$ or cardinality $2^{\omega_1}$ is equiconsistent with ZFC (if $n \geq 3$) and with ZFC plus an inaccessible (if $n = 2$). Finally, we define an analogue of the notion of a Borel set for the space $^{\omega_1}\omega_1$ and prove a Souslin-Kleene type theorem for this notion. (shrink)

This paper explores the significance of spiritual genealogy as a historiographical device in Franciscan representations of the order's past during the medieval and early modern period. Certain visual exponents of this heuristic – murals, engravings, and manuscript paintings of Franciscan family trees – have been the subject of increasing scholarly attention. I argue that these visual family trees are only one manifestation of a broader tendency to represent and analyse Franciscan order history in genealogical terms. Other manifestations include (...) written historiography, as well as genealogical images other than trees. The versatility of these visual and verbal genealogical representations of the Franciscan past made... (shrink)

Suetonius’ Lives of the Caesars usually begin with a family tree. These family trees are often rhetorical, foreshadowing in the ancestors character traits that will be themes of the rest of the Life. This particular rhetorical strategy relies upon an older phenomenon of ‘family identity’—namely, the literary application of similar characteristics to people in the same family—such as the one that tells us that the Claudii are proud and the Domitii Ahenobarbi are ferocious. Gary Farney (...) studied ‘family identity’ as a phenomenon of the Republic. There, it was the association of a family with a certain characteristic, a kind of ‘branding’. It would be perfectly obvious for Suetonius to use the family identities already in use for well-known families, but, as I show here, Suetonius’ selection of ancestors creates different family identities rather than simply using the traditional ones he would have found in other sources. In this study I concentrate on Nero and Tiberius. I focus on these two emperors because they are individuals where there is a known family identity in other sources and they also have the most detailed and elaborate ancestry sections in Suetonius’ Caesars. Family identity seems to be most interesting to Suetonius when it goes against expectations, and that is when Suetonius’ family trees are most elaborate. (shrink)

A family A ⊆ ℘(ω) is called countably splitting if for every countable $F \subseteq [\omega]^{\omega}$ , some element of A splits every member of F. We define a notion of a splitting tree, by means of which we prove that every analytic countably splitting family contains a closed countably splitting family. An application of this notion solves a problem of Blass. On the other hand we show that there exists an $F_{\sigma}$ splitting family that (...) does not contain a closed splitting family. (shrink)

We show that after forcing with a countable support iteration or a finite product of Sacks or splitting forcing over L, every analytic hypergraph on a Polish space admits a $\mathbf {\Delta }^1_2$ maximal independent set. This extends an earlier result by Schrittesser (see [25]). As a main application we get the consistency of $\mathfrak {r} = \mathfrak {u} = \mathfrak {i} = \omega _2$ together with the existence of a $\Delta ^1_2$ ultrafilter, a $\Pi ^1_1$ maximal independent family, (...) and a $\Delta ^1_2$ Hamel basis. This solves open problems of Brendle, Fischer, and Khomskii [5] and the author [23]. We also show in ZFC that $\mathfrak {d} \leq \mathfrak {i}_{cl}$, addressing another question from [5]. (shrink)

It is often said that there is just one “objective” tree of life: a single accurate branching hierarchy of species reflecting order of descent. For any two species there is a single correct answer as to whether one is a “daughter” of the other, whether the two are “sister species” by virtue of their descent from a common parental species, whether they belong to a family line that excludes any given third species, and so on. This position is (...) not right. We may whittle a tree of life, paring troublesome branches, in order to portray an ordering that admits of no legitimate dissent. But the history of life can sustain many legitimate arrangements of the same branches of species. The same can be said about other taxonomically relevant groups besides species, such as “Least Inclusive Taxonomic Units” (LITUs), so the basic claim survives even if we abandon traditional species. Similarly, the claim survives even if we distinguish between synchronic and diachronic groups, even if we consider polytomies, even if we distinguish between models and the world modeled, and even if we recognize an objective world. Nor is the claim merely an epistemic one. (shrink)

The author explores the ethics of decision-making and confidentiality in donor insemination through the narrative of her experience having two children with a sperm donor who was later discovered to carry a gene for a serious heart disease, hypertrophic cardiomyopathy. Contrasting individualist and communitarian ethical models, she questions understandings of confidentiality that hamper the construction of a medical family tree, especially when prognosis and treatment depend on the larger familial profile of the disease. She also emphasises that for (...) the patient family the discovery of biological family through the lens of transmitted illness leads to a shift in family identity that goes beyond the purely medical. (shrink)

Present research proposes the application of unsupervised and supervised machine-learning techniques to characterize Android malware families. More precisely, a novel unsupervised neural-projection method for dimensionality-reduction, namely, Beta Hebbian Learning, is applied to visually analyze such malware. Additionally, well-known supervised Decision Trees are also applied for the first time in order to improve characterization of such families and compare the original features that are identified as the most important ones. The proposed techniques are validated when facing real-life Android malware data by (...) means of the well-known and publicly available Malgenome dataset. Obtained results support the proposed approach, confirming the validity of BHL and DTs to gain deep knowledge on Android malware. (shrink)

Structural equation model trees are data-driven tools for finding variables that predict group differences in SEM parameters. SEM trees build upon the decision tree paradigm by growing tree structures that divide a data set recursively into homogeneous subsets. In past research, SEM trees have been estimated predominantly with the R package semtree. The original algorithm in the semtree package selects split variables among covariates by calculating a likelihood ratio for each possible split of each covariate. Obtaining these likelihood (...) ratios is computationally demanding. As a remedy, we propose to guide the construction of SEM trees by a family of score-based tests that have recently been popularized in psychometrics. These score-based tests monitor fluctuations in case-wise derivatives of the likelihood function to detect parameter differences between groups. Compared to the likelihood-ratio approach, score-based tests are computationally efficient because they do not require refitting the model for every possible split. In this paper, we introduce score-guided SEM trees, implement them in semtree, and evaluate their performance by means of a Monte Carlo simulation. (shrink)

It is often said that there is just one “objective” tree of life: a single accurate branching hierarchy of species reflecting order of descent. For any two species, there is a single correct answer as to whether one is a “daughter” of the other, whether the two are “sister species” by virtue of their descent from a common parental species, whether they belong to a family line that excludes any given third species, and so on. The idea is (...) intrinsically interesting. It has consequences for what we should think about the evolutionary origins of Homo sapiens as well as other species.The idea also has important connections to the scientific discipline of systematics, which classifies organisms into related groups. The connection to systematics is what has made objectivity a topic of discussion for biologists and philosophers of biology. Cladism, now the dominant school of systematics, places organisms into groups depending just on their place in the tree of life. That is supposed to render classifica- tion objective. In section i, I recite claims to objectivity. In sections ii–v, I argue that the apparent objectivity is not what it seems to be. In section vi, I briefly revisit systematics. (shrink)

Future prize-winning writer Chava Rosenfarb was seventeen years old when she was incarcerated in the Łódź ghetto. In 1972, she published The Tree of Life [Der boym fun lebn] (1972), a fictional chronicle of that experience of the Holocaust. In this three-volume epic novel, Rosenfarb narrates and interlaces the fates of ten Jewish families from pre-war Poland in 1939 to the liquidation of the ghetto in 1944. The "Tree of Life" is revealed to be the name given by (...) the "ghettoniks" to an iconic cherry tree that stands in the shared backyard of a group of apartment complexes inhabited by many of the protagonists in the ghetto. Far from being an anecdotal presence, the cherry tree becomes the center of Rosenfarb's reflections on the impacts of the environment on one's physical and mental health. In this article, The Tree of Life is analyzed from an ecocritical perspective to examine the interconnections between genocidal intent and environmental precariousness. The first part considers the perpetration angle of the Łódź ghetto establishment as a Nazi tool of ecological violence through its excessive economic program of forced labour and its structural health determinants leading to epidemics. We will then investigate the characters' attempts to reconnect to nature through tangible acts of agency (the development of small gardens to grow one's own food) and symbolism (the cherry tree evoking the freedom of the outside world). The purpose of this article is to explore the links between genocide and ecocide within the framework of literary memory, while appreciating the relevance of Chava Rosenfarb's representations of the Holocaust to our era of renewed ecological awareness. (shrink)

The main topics of this thesis are cardinal invariants, P -points and MAD families. Cardinal invariants of the continuum are cardinal numbers that are bigger than $\aleph _{0}$ and smaller or equal than $\mathfrak {c}.$ Of course, they are only interesting when they have some combinatorial or topological definition. An almost disjoint family is a family of infinite subsets of $\omega $ such that the intersection of any two of its elements is finite. A MAD family is (...) a maximal almost disjoint family. An ultrafilter $\mathcal {U}$ on $\omega $ is called a P-point if every countable $\mathcal {B\subseteq U}$ there is $X\in $ $\mathcal {U}$ such that $X\setminus B$ is finite for every $B\in \mathcal {B}.$ This kind of ultrafilters has been extensively studied, however there is still a large number of open questions about them.In the preliminaries we recall the principal properties of filters, ultrafilters, ideals, MAD families and cardinal invariants of the continuum. We present the construction of Shelah, Mildenberger, Raghavan, and Steprāns of a completely separable MAD family under $\mathfrak {s\leq a}.$ None of the results in this chapter are due to the author.The second chapter is dedicated to a principle of Sierpiński. The principle $\left $ of Sierpiński is the following statement: There is a family of functions $\left \{ \varphi _{n}:\omega _{1}\longrightarrow \omega _{1}\mid n\in \omega \right \} $ such that for every $I\in \left [ \omega _{1}\right ] ^{\omega _{1}}$ there is $n\in \omega $ for which $\varphi _{n}\left [ I\right ] =\omega _{1}.$ This principle was recently studied by Arnie Miller. He showed that this principle is equivalent to the following statement: There is a set $X=\left \{ f_{\alpha }\mid \alpha \alpha $ then $f_{\beta }\cap g$ is infinite. Miller showed that the principle of Sierpiński implies that non $\left =\omega _{1}.$ He asked if the converse was true, i.e., does non $\left =\omega _{1}$ imply the principle $\left $ of Sierpiński? We answer his question affirmatively. In other words, we show that non $\left =\omega _{1}$ is enough to construct an $\mathcal {IE}$ -Luzin set. It is not hard to see that the $\mathcal {IE}$ -Luzin set we constructed is meager. This is no coincidence, because with the aid of an inaccessible cardinal, we construct a model where non $\left =\omega _{1}$ and every $\mathcal {IE}$ -Luzin set is meager.The third chapter is dedicated to a conjecture of Hrušák. Michael Hrušák conjectured the following: Every Borel cardinal invariant is either at most non $\left $ or at least cov $\left $. Although the veracity of this conjecture is still an open problem, we were able to obtain some partial results: The conjecture is false for “Borel invariants of $\omega _{1}^{\omega }$ ” nevertheless, it is true for a large class of definable invariants. This is part of a joint work with Michael Hrušák and Jindřich Zapletal.In the fourth chapter we present a survey on destructibility of ideals and MAD families. We prove several classic theorems, but we also prove some new results. For example, we show that every almost disjoint family of size less than $\mathfrak {c}$ can be extended to a Cohen indestructible MAD family is equivalent to $\mathfrak {b=c}$. A MAD family $\mathcal {A}$ is Shelah–Steprāns if for every $X\subseteq \left [ \omega \right ] ^{<\omega }\setminus \left \{ \emptyset \right \} $ either there is $A\in \mathcal {I}\left $ such that $s\cap A\neq \emptyset $ for every $s\in X$ or there is $B\in \mathcal {I}\left $ that contains infinitely many elements of X $ denotes the ideal generated by $\mathcal {A}$ ). This concept was introduced by Raghavan which is connected to the notion of “strongly separable” introduced by Shelah and Steprāns. We prove that Shelah–Steprāns MAD families have very strong indestructibility properties: Shelah–Steprāns MAD families are indestructible for “many” definable forcings that does not add dominating reals. According to the author’s best knowledge, this is the strongest notion that has been considered in the literature so far. In spite of their strong indestructibility, Shelah–Steprāns MAD families can be destroyed by a ccc forcing that does not add unsplit or dominating reals. We also consider some strong combinatorial properties of MAD families and show the relationships between them.The fifth chapter is one of the most important chapters in the thesis. A MAD family $\mathcal {A}$ is called $+$ -Ramsey if every tree that branches into $\mathcal {I}\left $ -positive sets has an $\mathcal {I}\left $ -positive branch. Michael Hrušák’s first published question is the following: Is there a $+$ -Ramsey MAD family? It was previously known that such families can consistently exist. However, there was no construction of such families using only the axioms of ZFC. We solve this problem by constructing such a family without any extra assumptions.In the fourth and fifth chapters, we introduce several notions of MAD families, in the sixth chapter we prove several implications and non implications between them. We construct several MAD families with different properties.In the seventh chapter we build models without P -points. We show that there are no P -points after adding Silver reals either iteratively or by the side by side product. These results have some important consequences: The first one is that is its possible to get rid of P -points using only definable forcings. This answers a question of Michael Hrušák. We can also use our results to build models with no P -points and with arbitrarily large continuum, which was also an open question. These results were obtained with David Chodounský.prepared by Osvaldo Guzmán GonzálezE-mail : [email protected] : https://arxiv.org/abs/1810.09680. (shrink)

Jennifer Johnston’s fiction presents the conditions of Irish culture and society by exploring the separations between interior and exterior realms and past and present temporalities persisting within the insulating privacy of the familial home space. In _The Christmas Tree_ (1981), the home is both haven and prison for Johnston’s heroine. In this paper, I argue that the home—which assumes the form of the individual body and the familial home—is paradoxical. The protagonist leaves 1950s Ireland because of the country’s rigid gender (...) roles in order to pursue an autonomous life as a writer in England, but she is unable to publish her writing within the confines of the patriarchal publishing world. The home of her body becomes paradoxical when she becomes a single mother as an avenue for creativity but is then diagnosed with terminal cancer. She returns to her father’s home to die, which she re-orders and reclaims through the disorder of the uncanny—represented by her non-conformity and illness brought into the patriarchal home. By writing her life story and creating a brief, alternative maternal relationship with her young caretaker, the protagonist confronts her own ambivalence toward her parents, who also represent aspects of oppressive heteronormative gender expectations. (shrink)

This study aims to address the problems, obligations and value judgments that the modern individuals encounter while endeavoring to shape their own identities with the emergence of the new era in general. It examines the conflicts of the individuals within themselves, their senses of belonging, lifestyles, moral problems and the relationship between not only city and countryside but also tradition and modernity, one of the dichotomy in the modern era, in the context of Turkey in particular. More specifically, the study (...) emphasizes extreme individualism, the trivialization of traditional values owing to modernity, the loss of sense of belonging as a result of a shift to a consumption-oriented lifestyle as well as individuals’ sense of conscience and morality. In this sense, the issue of morality might be construed as the focal point of the present study. In the modern communication era, cinema has played a pivotal role in reflecting the realities of life. Therefore, film-oriented social life studies are particularly important. In this study, the effects of fundamental changes and transformations in Turkey, and the issues in the realms of social life, education, religion, profession and family in the modern era are examined through the film ‘The Wild Pear Tree’. The script of the film is written on the story of Akın Aksu, who is the son of Nuri Bilge Ceylan's uncle and one of the screenwriters. Nuri Bilge Ceylan deals with human nature and social problems in depth in his films. He attempts to depict the reality in his films directly by portraying many aspects and details of it. Ceylan's films could be delineated as critical films including meta-fiction. The Wild Pear Tree is one of his long winded works in which he displays the consumer society, the capitalist lifestyle and its reflections on the individual with satire and subtle irony. The film was analyzed in terms of Sinan's relationships with the characters he encountered during his search for himself. The findings of the study indicates that Nuri Bilge Ceylan addressed not only the traces of modernity, but also the problems of post-modernity boldly and presents his criticisms clearly through dialogues. The film was shot in the post-modern period and touches on the social problems of Turkey as well as the problems of the era. The individual’s dragging into an unconnected, discontinuous and fragmented way of life during his search for his ‘self’ with modernity has led to identity crises. Even though this situation is personal, it also highlights the intervention in social memory. Although the traces of the transition from the countryside to the city became blurred over time, the duality of tradition and modernity has stood out. In the study, the changes in the family and society along with the individual change were examined. The necessity of the rapid life increasing with modernity and the depressions caused by the sense of being out of date were also discussed. It has become evident in the last century that the individual feels stuck, lonely, and unstable in his behavior. Within this framework, the loneliness of Sinan, the main character and his being stuck between not only the country and the city but also his dreams and living conditions in the Wild Pear Tree started with his escaping from the country and resulted in his finding his ‘self’ in the country. A perspective of continuity in change is seen in the character Sinan, who escaped from his own reality and returned to the countryside where his father lived. (shrink)

In this paper, we consider a notion of nonmeasurablity with respect to Marczewski and Marczewski-like tree ideals $s_0$, $m_0$, $l_0$, $cl_0$, $h_0,$ and $ch_0$. We show that there exists a subset of the Baire space $\omega ^\omega,$ which is s-, l-, and m-nonmeasurable that forms a dominating m.e.d. family. We investigate a notion of ${\mathbb {T}}$ -Bernstein sets—sets which intersect but do not contain any body of any tree from a given family of trees ${\mathbb {T}}$. (...) We also obtain a result on ${\mathcal {I}}$ -Luzin sets, namely, we prove that if ${\mathfrak {c}}$ is a regular cardinal, then the algebraic sum of a generalized Luzin set and a generalized Sierpiński set belongs to $s_0, m_0$, $l_0,$ and $cl_0$. (shrink)

We give a new proof of a theorem of Shelah which states that for every family of labeled trees, if the cardinality κ of the family is much larger (in the sense of large cardinals) than the cardinality λ of the set of labels, more precisely if the partition relation holds, then there is a homomorphism from one labeled tree in the family to another. Our proof uses a characterization of such homomorphisms in terms of games.

We prove that for any computable successor ordinal of the form α = δ + 2k there exists computable torsion-free abelian group that is relatively Δα0 -categorical and not Δα−10 -categorical. Equivalently, for any such α there exists a computable TFAG whose initial segments are uniformly described by Σαc infinitary computable formulae up to automorphism, and there is no syntactically simpler family of formulae that would capture these orbits. As far as we know, the problem of finding such optimal (...) examples of Δα0-categorical TFAGs for arbitrarily large α was first raised by Goncharov at least 10 years ago, but it has resisted solution 315–356]). As a byproduct of the proof, we introduce an effective functor that transforms a 0″-computable worthy labeled tree into a computable TFAG. We expect that this techni... (shrink)

The collection of branches (maximal linearly ordered sets of nodes) of the tree $^{ (ordered by inclusion) forms an almost disjoint family (of sets of nodes). This family is not maximal--for example, any level of the tree is almost disjoint from all of the branches. How many sets must be added to the family of branches to make it maximal? This question leads to a series of definitions and results: a set of nodes is off-branch (...) if it is almost disjoint from every branch in the tree; an off-branch family is an almost disjoint family of off-branch sets; and o is the minimum cardinality of a maximal off-branch family. Results concerning o include: (in ZFC) a ≤ p, and (consistent with ZFC) o is not equal to any of the standard small cardinal invariants b,a,d, or c = 2 ω . Most of these consistency results use standard forcing notions--for example, $\mathfrak{b = a in the Cohen model. Many interesting open questions remain, though--for example, whether d ≤ o. (shrink)

Introduction: the advance of governmentality -- Foucault, power, and governmentality: introduction; what is governmentality?; beyond the microphysics of power?; from theory of the state to genealogy of the state; history of the art of government; pastoral power; raison d'état; liberal governmentality; five propositions on foucault and governmentality -- Governmentality 3.4.7.: introduction; governmentality after Foucault; governmentality and the political sciences; some problems in governmentality -- Foucault effect redux? some notes on international governmentality studies: constellation; a few preliminary observations; problems and debates (...) in international governmentality studies -- Reconnecting governmentality and genealogy: introduction; genealogy and governmentality; pluralizing genealogy; practicing genealogy; lines of descent: the family tree of power?; counter-memory and re-serialization; the retrieval of forgotten struggles and subjugated knowledges -- Conclusion: encountering governmentality: governmentality as a new cartography of power; from mapping to encountering; governmentality and politics. (shrink)

The tree-property and its variants make sense also for directed sets and even for partially ordered sets. A combinatoria approach is developed here, with characterizations and criteria involving adequate families of special substructures of directed sets. These substructures form a natural hierarchy that is also investigated.

The case outlined below is the basis for the In That Case section of the “Ethics and Epistemology of Big Data” symposium. Jordan receives reports from two separate personal genomic tests that provide intriguing data about ancestry and worrying but ambiguous data about the potential risk of developing Alzheimer’s disease. What began as a personal curiosity about genetic inheritance turns into an alarming situation of medical uncertainty. Questions about Jordan’s family tree are overshadowed by even more questions about (...) Alzheimer’s disease and healthy ageing. As a parent, Jordan is unsure whether to share these results and what it would mean for their children to learn about their genetic inheritance and potential future health. Furthermore, Jordan is unsure how to make sense of these reports in light of current knowledge of the risk factors for Alzheimer’s disease and in the absence of effective treatments or robust preventative guidelines. (shrink)

Background Investigative genetic genealogy (IGG) is a technique that involves uploading genotypes developed from perpetrator DNA left at a crime scene, or DNA from unidentified remains, to public genetic genealogy databases to identify genetic relatives and, through the creation of a family tree, the individual who was the source of the DNA. As policymakers demonstrate interest in regulating IGG, it is important to understand public perspectives on IGG to determine whether proposed policies are aligned with public attitudes.Methods We (...) conducted eight focus groups with members of the public (N = 72), sampled from four geographically diverse US regions, to explore general attitudes and perspectives regarding aspects of IGG practices, applications, and policies. Five major topics were explored in each focus group: when IGG should be used; who should perform IGG; how to approach consent for genetic database users; what systems of oversight should govern IGG practitioners; and whether to notify database users if their data are involved in law enforcement (LE) matching.Results Participants were supportive of IGG in most scenarios, especially for cold and violent cases. The favorable attitudes toward IGG were, however, tempered by distrust of law enforcement among some participants. All participants agreed that databases must inform users if IGG is allowed, but they did not agree on how individual database users should be allowed to opt out or whether to notify them if their data are involved in specific investigations. All participants agreed that IGG should be subject to some prescriptive guidelines, regulations, or accountability mechanisms.Conclusions These findings suggest broad public support for IGG, and interest in developing systems of accountability for its practice. Our study provides useful insight for policy makers, genomic database stewards, law enforcement, and other stakeholders in IGG’s practice, and suggests multiple directions for future research. (shrink)

One of the sub-branches of Central Semitic, Northwest Semitic, contains a number of languages with no established hierarchical relation among them: Ugaritic, Aramaic, Canaanite, Deir Alla, and Samalian. Over the years, scholars have attempted to establish a more accurate sub-branching for Northwest Semitic or to suggest a different genetic affiliation for some languages, usually Ugaritic. In this paper, we will argue that Aramaic and Canaanite share a direct ancestor, on the basis of a number of morphosyntactic features: the fs demonstrative (...) *ðaˀt, the direct object marker *ˀayāt, the development of dative subjects with adjectival predicates, the use of the construct state with prepositions, the G imperfect inflection of geminate verbs, and the plural form of *bayt. We will also address arguments that Ugaritic is a Canaanite dialect, or that Canaanite and Ugaritic are more closely related. This proposal not only outlines a more coherent family tree for Northwest Semitic, but also accounts for numerous “Aramaic”-like features in some Canaanite dialects, primarily Biblical Hebrew, which have thus far been treated as the result of language contact in the early Iron Age. (shrink)

This chapter focuses on the connection between counterfactuals and causation, and on the use of causation in the analyses of other concepts, especially decision and dispositions. It briefly reviews two preliminary pieces of conceptual apparatus. The chapter divides Lewis's treatment of causation into three stages: The first is the theory presented in the 1973 paper "Causation.” The second includes the amendments included in postscripts to “Causation” in Philosophical Papers, Volume II, in 1986.The final stage is the theory from "Causation as (...) Influence". Lewis introduced a number of subsidiary concepts: causal dependence among families of events, causal dependence among individual events, chancy causal dependence, quasi‐dependence, influence. The chapter presents a family tree of concepts, with causal dependence among families of variables at the trunk. These concepts are developed by Lewis in his attempts to analyze causation, and in his attempts to provide causal accounts of rational decision and dispositions. (shrink)

Of the distinctive terminology of nineteenth-century thought, perhaps no word has been more widely adopted than ‘genealogy’.1 ‘Genealogy’, of course, had a long history before Nietzsche put it in the title of a book, but the original sense of pedigree or family tree is not the one that has become so prominent in contemporary academic discourse.2 Nietzsche initiated a new sense of ‘genealogy’ that, oddly, has become popular despite a lack of clarity about what it is.3 My aim (...) here is to clarify this sense of genealogy by situating it in the context of nineteenth-century narrative argument and identifying its general features. I contend that the famous Nietzschean.. (shrink)

Despite accusations of irresponsibility and negativity, Jacques Derrida's deconstruction has had an immense influence on contemporary social, political and cultural critique. 'Evolving negativity' offers a preliminary explanation of this influence by tracing the philosophical 'family tree' that links deconstruction to German Critical Theory via the Frankfurt School. The paper explores the origins of a certain dynamic and productive notion of negativity in Hegel's dialectic and describes its 'evolution' in the works of Max Horkheimer and Theodor Adorno as a (...) process of de-determination that finds its culmination in Derrida's notion of 'différance'. Set free of its totalizing, teleological force, Derrida's negativity as 'différance' is compared with Hegel's more general and generative notion of Negativität. The paper concludes that for this branch of 'critical' thinking, to flourish in the shadow of Hegel means also to be continually reinventing his respect for difference and negativity, and transforming it to respond to the questions of the present. Key Words: Adorno • Critical Theory • deconstruction • Derrida • dialectic • différance • difference • Hegel • Horkheimer • negativity. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:"A Mark ofthe Growing Mind is Veneration of Objects" (Ludwig Wittgenstein) Fay Horton Sawyier Introduction In book 1 of the Treatise,1 Hume directs his attention to two sets of concepts; one of these sets is what I think of as the "basic epistemological set" and the other as the "basic metaphysical or ontological set." Except for the idea of personal identity, the First Inquiry2 addresses the same arrays of (...) concerns. Within the "epistemological set" we find discussions ofknowledge, belief, origin of ideas, etc.; within the "metaphysical set"are seen space, time, identity, cause and effect, uniformity ofnature, external objects and so on.3 For the first (epistemological) set, Hume constructs a mode of analysis which depends crucially on the provenance of an idea or concept. Thatis, asit does forarthistorians today, authenticityortruth depends on how the thingin question came intoyour possession. Hume announces not only that every simple idea depends on and comes from its simple impression, but that the full understandingofa complexidea requires first factoring it into its simple components and then tracing them back to their impressions. Understanding is, so to speak, like displaying the family tree. It turns out that all of the members of the "metaphysical" set have dubious parentage. Even if one grants the accuracy and adequacy of Hume's factoring, we are left facing his demonstrations that for each metaphysical concept there are at least some elements with no clear ancestry from single impressions. In this wayHume directs our attention tohis questforhow suchideas(or such elements withinideas) are ever come by. Why do we attribute identity? Howcanwe assume thereisanecessary connection and apower? What can possibly bring us to imagine, even, that anything can be independent ofour perceptions? And so on. All ofthis is not only at the heart ofthe Humean enterprise inbook 1 ofthe Treatise ami theFirstInquiry butis well-known to anyone even modestly familiar with Hume's writings. The result of his powerful analyses is that these mysterious, illegitimate elements in the metaphysical concepts are generated within subjects exposed to repeated instances of, for example, pairings in time or place, similar sightings after temporal lapses and so on. The processes by which we Volume XVIII Number 2 315 FAY HORTON SAWYIER construct our categories as well as the elements out ofwhich we make them areimportantandin these cases were shown tobe developmental or time-dependent.4 Furthermore, since these processes and these resultant conceptshavebeen shown tohave been generated by us, they are uniquely quaUfied to demonstrate the nature of human nature, which was, after all, the subject ofthe Treatise? Having reminded ourselves ofthese extremely general features of Hume's exposition, I want now to isolate and to highlight some particular and peculiar features. 1.The subject upon whose mind or sensibilities paired and repeated events are presumed to impinge and by whose consequent conditioning these otherwise inexplicable concepts can be understood is always an adult male.6 2.The presentingsituation which is presumed to arise and repeatfor this adult male is always hypothetical and never observed. 3.Thisman'sconstructionofanyoneofthese concepts (like necessary connection) is always as his solution to a logical problem, his way-out ofa mental awkwardness or unease. 4.These adult male concept generators and logical problem solvers neverseem to doanything but sitstill and look around themselves.7 The fundamental character ofmy inquiry can be understood as a search for the (presumably deleterious) consequences of the four particular features noted above. Since the lives and experiences of young children are neglected and since acquisition of the basic metaphysical set is always initiated in early childhood, one may well hypothesize that Hume's results will be damaged or skewed. Intuitively, this would seem to be an obvious inference, but proof is needed that in some cases Hume did indeed misconstrue certain basic concepts and that the central factor in his shortfall was his neglect of the child's experience of concept development and acquisition. By contrast, his contemporary, Thomas Reid, remarked, "Could we obtain a distinct and full history of all that hath passed in the mind ofa child from thebeginning ofUfe and sensation, till it grows to the use ofreason... this would be a treasury of natural history, which would probably give... (shrink)

Now in its seventh edition, Ingrid Rima's classic textbook charts the development of the discipline from the classical age of Plato and Aristotle, through the middle ages to the first flowering of economics as a distinct discipline - the age of Petty, Quesnay and Smith - to the era of classical economics and the marginalist revolution. The book then goes on to offer extensive coverage of the twentieth century - the rise of Keynesianism, econometrics, the Chicago School and the neoclassical (...) paradigm. The concluding chapters analyze the birth of late twentieth century developments such as game theory, experimental economics and competing schools of economic thought. This text includes a number of practical features: a "family tree" at the beginning of each section, illustrating how the different developments within economics are interlinked the inclusion of readings from the original key texts a summary and questions to discuss, along with glossaries and suggestions for further reading This book provides the clearest, most readable guide to economic thought that exists and encourages students to examine the relevance of the discipline's history to contemporary theory. (shrink)

This paper discusses the issue of whether we have responsibilities to future generations with respect to genetic screening, including for purposes of selective abortion or discard. Future generations have been discussed at length among scholars. The concept of ‘Guardianfor Future Generations’ is tackled and its main criticisms discussed. Whilst germ-line cures, it is argued, can only affect family trees, genetic screening and testing can have wider implications. If asking how this may affect future generations is a legitimate question and (...) since we indeed make retrospective moral judgements, it would be wise to consider that future generations will make the same retrospective judgements on us. Moreover such technologies affect present embryos to which we indeed can be considered to have an obligation. (shrink)