This volume presents the philosophical and heuristic framework Cantor developed and explores its lasting effect on modern mathematics. "Establishes a new plateau for historical comprehension of Cantor's monumental contribution to mathematics." --The American Mathematical Monthly.

This is a book review of Cantorian set theory and limitations of size by Michael Hallett.

The usual objections to infinite numbers, and classes, and series, and the notion that the infinite as such is self-contradictory, may... be dismissed as groundless. There remains, however, a very grave difficulty, connected with the contradiction [of the class of all classes not members of themselves]. This difficulty does not concern the infinite as such, but only certain very large infinite classes.

Drawing on arguments in Doris (2002, 2022) [Lack of Character: Personality and Moral Behavior. Cambridge: Cambridge University Press; Character Trouble: Undisciplined Essays on Moral Agency and Personality. Oxford: Oxford University Press], this essay argues that good character is typically an insufficient “bulwark” against misconduct in military organizations, for two reasons: (1) the situational sensitivity of behavior and (2) the relatively small effect sizes associated with personality variables. Additionally, what is known about moral development and education gives limited reason to think (...) organizations are likely to have much success in inculcating reliably good character in their members. Instead, military organizations concerned to reduce misconduct should focus on developing organizational cultures structured by carefully crafted and assiduously enforced moral rules. (shrink)

Drawing on arguments in Doris (2002, 2022) [Lack of Character: Personality and Moral Behavior. Cambridge: Cambridge University Press; Character Trouble: Undisciplined Essays on Moral Agency and Personality. Oxford: Oxford University Press], this essay argues that good character is typically an insufficient “bulwark” against misconduct in military organizations, for two reasons: (1) the situational sensitivity of behavior and (2) the relatively small effect sizes associated with personality variables. Additionally, what is known about moral development and education gives limited reason to think (...) organizations are likely to have much success in inculcating reliably good character in their members. Instead, military organizations concerned to reduce misconduct should focus on developing organizational cultures structured by carefully crafted and assiduously enforced moral rules. (shrink)

The study of biomechanics most often takes a classic adaptationist approach, examining the functional abilities of organisms in relation to what is allowed by physical parameters. This approach generally assumes strong selection and is less concerned with evolutionary stochasticity in determining the presence of biological traits. It is equally important, however, to consider the importance of constraint in determining the form of organisms. If selection is relatively weak compared to stochastic events, then the observed forms in living systems can be (...) taken not as those shapes that were strongly selected for, so much as those forms that do not violate physical rules and therefore persist. Using the problem of maximum animal size as a case study for this alternative biomechanical philosophy, I demonstrate one example of how biomechanical approaches can be used to study constraint and consider the concept of absent forms. This alternative mindset and approach produces a complementary system to the traditional form and function approach in biomechanics. The two philosophies can be used in conjunction to better understand biological systems. I focus particularly on the maximum size of flying animals, as they are a heavily constrained class of system that has also been shaped by substantial stochasticity. (shrink)

Do cultural artifacts admit of only one single admissible interpretation? Or do they admit of several admissible interpretations? If so, do such multiple interpretations arise only in connection with the material world? And what is the relation between such ideals of interpretation and the ontology of their objects? in his searching book, Krausz explores and develops varieties of realism, constructivism, and constructive realism. Finally, Krausz extends the notions of singularism and mutliplism to directional life paths and projects. In the course (...) of his treatment Krausz considers such diverse examples as the paintings of Anselm Kiefer, Cristo's Wrapped Reichstag, Indian burial rites, Hindu and Buddhist soteriologies, as well as middle sized objects and sub-atomic particles. And he considers contributions of such thinkers as John Searle, Nelson Goodman, Rom Harre, Bernard Harrison and Patricial Hanna, Fritz Wallner, Hilary Putnam, Chhanda Gupta, Joseph Margolis, David Norton, and Martha Nussbaum. (shrink)

In this chapter I give an account of how our judgments of anger often play out in certain political instances. While contemporary philosophers of emotion have provided us with check box guides like “fittingness” and “size” for evaluating anger, I will argue that these guides do not by themselves help us escape the tendency to mark or unmark the boxes selectively, inconsistently, and erroneously. If anger—particularly anger in a political context—can provide information and spark positive change or political destruction, (...) then we have moral reasons to evaluate it properly. But can we? And what are the limitations and errors we often face when evaluating anger? -/- I will begin by laying out the ways in which we evaluate emotions and the moral and epistemic errors we attribute to the angry agent in judgments of disapproval. Then I attempt to answer the question: How do we judge political anger improperly? An improper evaluation, in my view, does not take into account relevant information that is needed to evaluate the anger. An overly generous, uninformed, biased, or selfish process of evaluation produces an improper evaluation. We see this occur when we immediately evaluate anger. I will also identify two social discursive practices of improper evaluation as well as the moral and epistemic errors committed when anger evaluators participate in these practices. (shrink)

In a remarkable development, I have constructed a new definition for a self-delimiting universal Turing machine (UTM) that is easy to program and runs very quickly. This provides a new foundation for algorithmic information theory (AIT), which is the theory of the size in bits of programs for selfdelimiting UTM's. Previously, AIT had an abstract mathematical quality. Now it is possible to write down executable programs that embody the constructions in the proofs of theorems. So AIT goes from dealing (...) with remote idealized mythical objects to being a theory about practical down-to-earth gadgets that one can actually play with and use. (shrink)

The power of Wittgenstein's N operator described in the Tractatus is that every proposition which can be expressed in the Russellian variant of the predicate calculus familiar to him has an equivalent proposition in an extended variant of his N operator notation. This remains true if the bound variables are understood in the usual inclusive sense or in Wittgenstein's restrictive exclusive sense. The problematic limit of Wittgenstein's N operator comes from his claim that symbols alone reveal the logical status of (...) propositions. This would require knowledge of the size of the Tractarian domain of unchangeable, simple objects, and this, Wittgenstein maintained, cannot be known. (shrink)

We construct models for the level by level equivalence between strong compactness and supercompactness in which for κ the least supercompact cardinal and δ ≤ κ any cardinal which is either a strong cardinal or a measurable limit of strong cardinals, 2δ > δ+ and δ is < 2δ supercompact. In these models, the structure of the class of supercompact cardinals can be arbitrary, and the size of the power set of κ can essentially be made as large as (...) desired. This extends and generalizes [5, Theorem 2] and [4, Theorem 4]. We also sketch how our techniques can be used to establish a weak indestructibility result. (shrink)

Pharmacogenetics and pharmacogenomics are related facets of cutting edge therapeutic research in a field that relates pharmacological properties to the genetic characteristics of human beings. An optimistic interpretation suggests that “One-Size-Fits-All” therapeutics, whose effects can only be predicted in probabilistic terms, will give way eventually to individual tailor-made therapies with entirely predictable properties in each patient. Yet the concept of anticipating individual pharmacotherapeutic response appears to disregard some of the fundamental limitations of causal understanding in the biological world of (...) structure–action relationships. It is not simply a problem of confronting complexity – which might be overcome in time with advances in biotechnology and computing power – but the inescapable paradox of the genetic characteristics of individuals within the human species. The aleatory process of evolution ensures that with the exception of monozygotic twins, every human being is genetically unique. At the same time there appears to be more in common than divides. Pharmacogenomics provides a climate in which to explore and better understand the variable causal relationships between genetic element, protein and therapeutic or toxic actions, but can only do so in abstraction. Thus␣predictive power may be enhanced but is ultimately constrained by insuperable probabilistic considerations. (shrink)

Paul Griffiths and John Matthewson argue that selected effects play the key role in determining whether a state is pathological. In response, it is argued that a selected effects account faces a number of difficulties in light of modern genomic research. Firstly, a modern history approach to selection is problematic as a basis for assigning function to human traits in light of the small population sizes in the hominin lineage, which imply that selection has played a limited role in shaping (...) these genomes in the evolutionarily recent past. Secondly, determining both the genetic basis of disease and selective histories of the various alleles involved may be experimentally intractable. Thirdly, the existence of “selected disorders” is well supported, and yet on the other hand many other common diseases may not reduce evolutionary fitness. In summary, the biological ends promoted by natural selection, as best modeled in recent research, do not adequately ground a concept of dysfunction that aligns well with the interests of human health. (shrink)

This paper is about the differences between probabilities and beliefs and why reasoning should not always conform to probability laws. Probability is defined in terms of urn models from which probability laws can be derived. This means that probabilities are expressed in rational numbers, they suppose the existence of veridical representations and, when viewed as parts of a probability model, they are determined by a restricted set of variables. Moreover, probabilities are subjective, in that they apply to classes of events (...) that have been deemed (by someone) to be equivalent, rather than to unique events. Beliefs on the other hand are multifaceted, interconnected with all other beliefs, and inexpressible in their entirety. It will be argued that there are not sufficient rational numbers to characterise beliefs by probabilities and that the idea of a veridical set of beliefs is questionable. The concept of a complete probability model based on Fisher's notion of identifiable subsets is outlined. It is argued that to be complete a model must be known to be true. This can never be the case because whatever a person supposes to be true must be potentially modifiable in the light of new information. Thus to infer that an individual's probability estimate is biased it is necessary not only to show that the estimate differs from that given by a probability model, but also to assume that this model is complete, and completeness is not empirically verifiable. It follows that probability models and Bayes theorem are not necessarily appropriate standards for people's probability judgements. The quality of a probability model depends on how reasonable it is to treat some existing uncertainty as if it were equivalent to that in a particular urn model and this cannot be determined empirically. Bias can be demonstrated in estimates of proportions of finite populations such as in the false consensus effect. However the modification of beliefs by ad hoc methods like Tversky and Kahneman's heuristics can be justified, even though this results in biased judgements. This is because of pragmatic factors such as the cost of obtaining and taking account of additional information which are not included even in a complete probability model. Finally, an analogy is drawn between probability models and geometric figures. Both idealisations are useful but qualitatively inadequate characterisations of nature. A difference between the two is that the size of any error can be limited in the case of the geometric figure in a way that is not possible in a probability model. (shrink)

A flurry of technological advances in molecular, cellular and developmental biology during the past decade has provided a clearer understanding of mechanisms underlying phenotypic diversification. Building upon such momentum, a recent paper tackles one of the foremost topics in evolution, that is the origin of species‐specific beak morphology in Darwin's finches.1 Previous work involving both domesticated and wild birds implicated a well‐known signaling pathway (i.e. bone morphogenetic proteins) and one population of progenitor cells in particular (i.e. cranial neural crest), as (...) primary factors for establishing beak size and shape. But these results were limited in their ability to explain fully the morphogenetic bases of patterned outgrowth. So in a quest to identify novel genes whose expression correlated with differences in beak anatomy among Darwin's finches, a DNA microarray approach was undertaken using tissues harvested from the Galápagos Islands. The results are striking and point to a protein called calmodulin, which is a mediator of cellular calcium signaling, as a key determinant of beak length. BioEssays 29: 1–6, 2007. © 2006 Wiley Periodicals, Inc. (shrink)

Many environmental philosophers have argued that there is an obligation for individuals to reduce their individual carbon footprints. However, few of them have addressed whether this obligation would entail a corresponding duty to limit one’s family size. In this paper, I examine several reasons that one might view procreative acts as an exception to a more general duty to reduce one’s individual greenhouse gas emissions. I conclude that none of these reasons are convincing. Thus, if there is an obligation (...) to reduce one’s unnecessary greenhouse gas emissions, then people should also limit the size of their families when they have the means to do so. (shrink)

Lewis et al. (2011) attempted to restore the reputation of Samuel George Morton, a 19th century physician who reported on the skull sizes of different folk-races. Whereas Gould (1978) claimed that Morton’s conclusions were invalid because they reflected unconscious bias, Lewis et al. alleged that Morton’s findings were, in fact, supported, and Gould’s analysis biased. We take strong exception to Lewis et al.’s thesis that Morton was “right.” We maintain that Gould was right to reject Morton’s analysis as inappropriate and (...) misleading, but wrong to believe that a more appropriate analysis was available. Lewis et al. fail to recognize that there is, given the dataset available, no appropriate way to answer any of the plausibly interesting questions about the “populations” in question (which in many cases are not populations in any biologically meaningful sense). We challenge the premise shared by both Gould and Lewis et al. that Morton’s confused data can be used to draw any meaningful conclusions. This, we argue, reveals the importance of properly focusing on the questions asked, rather than more narrowly on the data gathered. (shrink)

Evolutionary transitions in individuality (ETIs) involve the formation of Darwinian collectives from Darwinian particles. The transition from cells to multicellular life is a prime example. During an ETI, collectives become units of selection in their own right. However, the underlying processes are poorly understood. One observation used to identify the completion of an ETI is an increase in collective-level performance accompanied by a decrease in particle-level performance, for example measured by growth rate. This seemingly counterintuitive dynamic has been referred to (...) as fitness decoupling and has been used to interpret both models and experimental data. Extending and unifying results from the literature, we show that fitness of particles and collectives can never decouple because calculations of fitness performed over appropriate and equivalent time intervals are necessarily the same provided the population reaches a stable collective size distribution. By way of solution, we draw attention to the value of mechanistic approaches that emphasise traits, and tradeoffs among traits, as opposed to fitness. This trait-based approach is sufficient to capture dynamics that underpin evolutionary transitions. In addition, drawing upon both experimental and theoretical studies, we show that while early stages of transitions might often involve tradeoffs among particle traits, later—and critical—stages are likely to involve the rupture of such tradeoffs. Thus, when observed in the context of ETIs, tradeoff-breaking events stand as a useful marker of these transitions. (shrink)

Data from various settings suggest that there is an upper limit of about four on the number of individuals who can interact in spontaneous conversation. This limit appears to be a consequence of the mechanisms of speech production and detection. There appear to be no differences between men and women in this respect, other than those introduced by women’s lighter voices.

Lewis et al. (2011) attempted to restore the reputation of Samuel George Morton, a 19th century physician who reported on the skull sizes of different folk-races. Whereas Gould (1978) claimed that Morton's conclusions were invalid because they reflected unconscious bias, Lewis et al. alleged that Morton's findings were, in fact, supported, and Gould's analysis biased. We take strong exception to Lewis et al.’s thesis that Morton was “right.” We maintain that Gould was right to reject Morton's analysis as inappropriate and (...) misleading, but wrong to believe that a more appropriate analysis was available. Lewis et al. fail to recognize that there is, given the dataset available, no appropriate way to answer any of the plausibly interesting questions about the “populations” in question (which in many cases are not populations in any biologically meaningful sense). We challenge the premise shared by both Gould and Lewis et al. that Morton's confused data can be used to draw any meaningful conclusions. This, we argue, reveals the importance of properly focusing on the questions asked, rather than more narrowly on the data gathered. (shrink)

This theoretical study examines the ethics of international nurse recruitment from the conceptual framework of stakeholder interests. It argues that there are stakeholders at individual, institutional, national and international levels, with overlapping but, more often, different or even conflicting interests. Depending on the interests of given stakeholders, different conclusions regarding the ethics of international nurse recruitment may be reached. There is no right or wrong with these varying ethical positions because they reflect different beliefs and philosophies that are not amenable (...) to value judgment. To illustrate and support this line of argument, this article analyzes the underpinnings of two ethical standards published by the International Council of Nurses and the UK Department of Health. In addition, a case study on China augments the argument by demonstrating limitations of the one-size-fits-all approach to the issue. The most important question in understanding and evaluating the ethical standards of international nurse recruitment is to know whose interests they are designed to represent and protect. (shrink)

Alternative displays of effect size statistics can enhance the understandability and impact of validity evidence in a variety of applied settings. Arguably, the proliferation of alternative effect size statistics has been limited due to the lack of user-friendly tools to create them. Common statistical packages do not readily produce these alternative effect sizes and existing tools are outdated and inaccessible. In this paper, I introduce a free-to-use web-based calculator (https://dczhang.shinyapps.io/expectancyApp/) for generating alternative effect size displays from empirical (...) data. This calculator requires no mathematical or programming expertise, and therefore, is ideal for academics and practitioners. I also present results from an empirical study that demonstrates the benefits of alternative effect size displays for enhancing lay people’s perceived understandability of validity information and attitudes toward the use of standardized testing for college admissions. (shrink)

My aim in this paper is to show how the problem of inflated effect sizes corrupts the severity measure of evidence. This has never been done. In fact, the Winner’s Curse is barely mentioned in the philosophical literature. Since the severity score is the predominant measure of evidence for frequentist tests in the philosophical literature, it is important to underscore its flaws. It is also crucial to bring the philosophical literature up to speed with the limits of classical testing. The (...) Winner’s Curse is one of them. The problem is that when a significant result is obtained by using an underpowered test, the severity score becomes particularly high for large discrepancies from the null-hypothesis. This means that such discrepancies are very well supported by the evidence according to that measure. However, it is now well documented that significant tests with low power display inflated effect sizes. They systematically show departures from the null hypothesis H0 that are much greater than they really are. From an epistemological point of view this means that a significant result produced by an underpowered test does not provide evidence for large discrepancies from H0. Therefore, the severity score is an inadequate measure of evidence. Given that we are now aware of the phenomenon of inflated effect sizes, it would be irresponsible to rely on the severity score to measure the strength of the evidence against the null. Instead, one must take appropriate measures to try and avoid using underpowered tests by setting a threshold for the sample size or by replicating the results of the experiment. (shrink)

Let $\omega$ be the first infinite ordinal (or the set of all natural numbers) with the usual order $<$ . In § 1 we show that, assuming the consistency of a supercompact cardinal, there may exist an ultrapower of $\omega$ , whose cardinality is (1) a singular strong limit cardinal, (2) a strongly inaccessible cardinal. This answers two questions in [1], modulo the assumption of supercompactness. In § 2 we construct several $\lambda$ -Archimedean ultrapowers of $\omega$ under some large cardinal (...) assumptions. For example, we show that, assuming the consistency of a measurable cardinal, there may exist a $\lambda$ -Archimedean ultrapower of $\omega$ for some uncountable cardinal $\lambda$ . This answers a question in [8], modulo the assumption of measurability. (shrink)

Chromatic induction is a major contextual effect of color appearance. Patterned backgrounds are known to induce strong chromatic induction effects. However, it has not been clarified whether the spatial extent of the chromatic surrounding induces a chromatic contrast or assimilation effects. In this study, we examined the influence of the width of a center line and its flanking white contour on the color appearance when the line was surrounded by chromatic backgrounds. A strong color shift was observed when the center (...) line was flanked by white contours with the L/M- and S-cone chromatic backgrounds. There was a difference between the optimal widths of the center line and the contour for the shift in color appearance for the L/M-cone chromaticity and the S-cone chromaticity. The optimal width of the center line for the L/M-cone was finer than the resolution-limit width of the chromatic contrast sensitivity and coarser than that of the luminance contrast sensitivity. Thus, the color appearance of the center line could be obtained by integrating broad chromatic information and fine luminance details. Due to blurring and chromatic aberrations, the simulated artifact was large for the darker center line and S-cone background, thus suggesting that the artifact could explain the luminance dependency of the induction along the S-cone chromaticity. Moreover, the findings of this study reveal that the dominant factor of the color shift is neural instead of optical. (shrink)

The data presented in the target article make a persuasive case for the notion that there is a fundamental limit on short term memory (STM) of about four items. Two possible means of further testing this claim are suggested and data regarding scene coherence and memory capacity for ordered information are reviewed.

Despite current moves in the UK to limit class sizes for young children in school, there is still a disturbing lack of research evidence on the effect of class size differences on pupils' educational progress and experience. Past research has concentrated on the effects on outcomes such as pupils' school attainments in basic areas. Much less is known about classroom processes that might mediate any such effects, though such knowledge is more useful for practice and policy. Drawing on a (...) current programme of research at the Institute of Education, University of London, this paper identifies five processes likely to be connected to class size : within class grouping practices, the nature and quality of teaching, pupil attention in class, pupil adjustment to school and effects on teachers' morale, stress and enthusiasm. Relevent research is reviewed, and in line with this research the paper concentrates on the primary school years. (shrink)

Despite current moves in the UK to limit class sizes for young children in school, there is still a disturbing lack of research evidence on the effect of class size differences on pupils' educational progress and experience. Past research has concentrated on the effects on outcomes such as pupils' school attainments in basic areas. Much less is known about classroom processes that might mediate any such effects, though such knowledge is more useful for practice and policy. Drawing on a (...) current programme of research at the Institute of Education, University of London, this paper identifies five processes likely to be connected to class size: within class grouping practices, the nature and quality of teaching, pupil attention in class, pupil adjustment to school and effects on teachers' morale, stress and enthusiasm. Relevent research is reviewed, and in line with this research the paper concentrates on the primary school years. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:538 Feminist Studies 41, no. 3. © 2015 by Feminist Studies, Inc. Doreen J. Mattingly The Limited Power of Female Appointments: Abortion and Domestic Violence Policy in the Carter Administration In 1977 in the United States, Second Wave feminists were poised to make a meaningful impact on federal policy. Jimmy Carter’s successful 1976 presidential campaign had included an open wooing of feminist support : he had created a “51.3 (...) Percent” committee to address women’s issues and he had told feminist audiences that he “wanted to be known as the President who achieved equal rights for women, just as President Johnson had won civil rights legislation for blacks.”1 Once elected, Carter appointed an unprecedented number of feminist women to high office, many of whom were committed to addressing the concerns of marginalized women and advancing policy on issues such as sexual violence and reproductive rights. These appointees were linked to a dense feminist organizational presence in Washington that was unprecedented in its size and diversity. Not surprisingly, many feminists had high expectations for the new administration. 1. Cynthia Harrison, “Creating a National Feminist Agenda: Coalition Building in the 1970s,” in Feminist Coalitions: Historical Perspectives on Second-Wave Feminism in the United States, ed. Stephanie Gilmore (Urbana: University of Illinois Press, 2008), 30. See also John Dumbrell, The Carter Presidency: A Re-evaluation (New York: Manchester University Press, 1993); and Sara Evans, Tidal Wave: How Women Changed America at Century’s End (New York: Free Press, 2003). Doreen J. Mattingly 539 Despite these promising conditions, feminists made little headway on policy during the Carter administration (1977–1981). Federal funding for abortion was eliminated; no permanent offices that would have advocated for women’s issues were created; and bills supporting domestic violence shelters, support for “displaced homemakers,” and quotas for female-owned businesses were defeated or extremely diluted. In addition, no additional states ratified the Equal Rights Amendment (ERA) and several states rescinded earlier ratification votes. Some of these failures can be attributed to the general loss of feminist momentum and the emergence of a conservative backlash in the late 1970s. Anti-ERA organizing fueled the rise of a conservative “family values” movement that would shape social policies for more than a generation, and neoliberal economic conservatives were challenging the welfare-state programs that feminists sought to expand. But in Washington, there was an addition challenge —the unreliable support of Carter himself. Despite his promises, Carter felt that by appointing women he had met his commitment to feminists and did little to support feminist policy goals that went beyond eliminating discrimination. This paper makes an important contribution to the history of feminist action by looking in detail at the efforts of Jimmy Carter’s feminist appointees to influence policy. In particular, it discusses the actions of the most visible feminist in the White House, Margaret “Midge” Costanza. Carter named Costanza director of the Office of Public Liaison, a department that was created to manage relations between the White House and citizens’ groups. Her position as the first woman to serve as Assistant to the President, in concert with her gregarious nature and strong support for women’s issues, made Costanza a very visible symbol of affirmative action for Carter. Yet Costanza, like many other high-level feminist appointees, met opposition within the White House when she tried to advance women’s issues. Her persistent advocacy contributed to her marginalization within the White House. Just twenty months into the administration she resigned in frustration.2 This paper begins with a discussion of the unique circumstances surrounding Carter’s feminist appointees, followed by a detailed exploration 2. For Costanza’s complete story, see Doreen J. Mattingly, A Feminist in the White House: Midge Costanza, the Carter Years, and America’s Culture Wars (New York: Oxford University Press, 2016). 540 Doreen J. Mattingly oftwomeetingsheldbyCostanzainJuly1977.Thefirstwasanimpromptu meeting of roughly forty prochoice Carter appointees, all deeply troubled by a statement made by Carter in support of the Hyde Amendment banning federal funds for abortion. The same month, Costanza hosted a groundbreaking White House meeting about battered women, in which high-level bureaucrats heard testimonials from domestic violence victims and shelter advocates. While both meetings broke new... (shrink)

All entrepreneurs try to be timely unlimited, constant and successful in their business. In doing so, their company founding, running operations and development all depend on adequate and quality financing. The goal is to ensure a stable financing and growth and the question is how, when and from which sources should the financing be ensured. When talking of financing, it is primarily meant ensuring the money or the capital, a synonym of the entrepreneurship and its main moving strength. In order (...) to be successful, it is of high importance to meet optimal business decisions and specially investing decisions. Even though the focus of the financing process is not solely limited to money, money plays a central role and is also the basis and the requirement for business activity and the very existence and the end goal of a business as well. One important focus of entrepreneurs is the question of an optimal financial structure for their own enterprise. The specifics of every individual company together with the industry they are in and macroeconomic environment they operate in do not allow for a uniform and generally applicable solution to this problem. The focus of this problem lies in the ratio between the size and structure of assets on one side and the size and structure of equity and debt on the other side. Every entrepreneur should also know which amount and structure of long-term assets, fixed assets is necessary for his enterprise. The function of investment planning defines these requirements before the actual investment takes place. An entrepreneur who is already longer in business will at this point analyze his actual financial structure with a focus on capital accumulation and conditions of raising debt. (shrink)

Nucleotide diversity of the human Y chromosome is much lower than that in the rest of the genome. A new hypothesis postulates that this invariance may result from mutations in maternally inherited mitochondrial DNA (mtDNA), leading to impaired reproduction among males and lowered male effective population size. If correct, we should expect to see low levels of polymorphism in the male‐specific Y chromosome of many organisms but not necessarily in the female‐specific W chromosome in organisms with female heterogamety. However, (...) recent observations from birds suggest that the avian W chromosome is very low in nucleotide diversity. This indicates that mtDNA mutations cannot broadly explain the evolution of the sex‐limited chromosome. Other work has suggested that sexual selection at loci involved in sex determination or secondary sexual characteristics might reduce levels of genetic variability on Y through hitch‐hiking effects. Although the W chromosome does not seen to play a dominant role for sex determination in birds, it cannot be excluded that selective sweeps arising from natural or sexual selection contribute to the low levels of genetic variability seen on this chromosome. BioEssays 25:163–167, 2003. © 2003 Wiley Periodicals, Inc. (shrink)

In the context of item response theory, linking the scales of two measurement points is a prerequisite to examine a change in competence over time. In educational large-scale assessments, non-identical test forms sharing a number of anchor-items are frequently scaled and linked using two− or three-parametric item response models. However, if item pools are limited and/or sample sizes are small to medium, the sparser Rasch model is a suitable alternative regarding the precision of parameter estimation. As the Rasch model implies (...) stricter assumptions about the response process, a violation of these assumptions may manifest as model misfit in form of item discrimination parameters empirically deviating from their fixed value of one. The present simulation study investigated the performance of four IRT linking methods—fixed parameter calibration, mean/mean linking, weighted mean/mean linking, and concurrent calibration—applied to Rasch-scaled data with a small item pool. Moreover, the number of anchor items required in the absence/presence of moderate model misfit was investigated in small to medium sample sizes. Effects on the link outcome were operationalized as bias, relative bias, and root mean square error of the estimated sample mean and variance of the latent variable. In the light of this limited context, concurrent calibration had substantial convergence issues, while the other methods resulted in an overall satisfying and similar parameter recovery—even in the presence of moderate model misfit. Our findings suggest that in case of model misfit, the share of anchor items should exceed 20% as is currently proposed in the literature. Future studies should further investigate the effects of anchor item composition regarding unbalanced model misfit. (shrink)