This article sets out to analyse some of the most basic elements of our number concept - of our awareness of the one and the many in their coherence with multiplicity, succession and equinumerosity. On the basis of the definition given by Cantor and the set theoretical definition of cardinal numbers and ordinal numbers provided by Ebbinghaus, a critical appraisal is given of Frege’s objection that abstraction and noticing (or disregarding) differences between entities do not produce the concept (...) of number. By introducing the notion of subject functions, an account is advanced of the (nominalistic) reason why Frege accepted physical, kinematic and spatial properties (subject functions) of entities, but denied the ontic status of their quantitative properties (their quantitative subject function). With reference to intuitionistic mathematics (Brouwer, Weyl, Troelstra, Kreisel, Van Dalen) the primitive meaning of succession is acknowledged and connected to an analysis of what is entailed in the term ‘Gleichzahligkeit’ (‘equinumerosity’). This expression enables an analysis of the connections between ordinality and cardinality on the one hand and succession and wholeness (totality) on the other. The conceptions of mathematicians such as Frege, Cantor, Dedekind, Zermelo, Brouwer, Skolem, Fraenkel, Von Neumann, Hilbert, Bernays and Weyl, as well as the views of the philosopher Cassirer, are discussed in order to arrive at an assessment of the relation between ordinality and cardinality (also taking into account the relation between logic and arithmetic) - and on the basis of this evaluation, attention is briefly given to the definition of an ordered pair in axiomatic set theory (with reference to the set theory of Zermelo-Fraenkel) and to the defmition of an ordered pair advanced by Wiener and Kuratowski. (shrink)

I aim to clarify the relationship between the success of a theory and the truth of that theory. This has been a central issue in the debates between realists and anti-realists. Realists assume that success is a reliable indicator of truth, but the details about the respects in which success is a reliable indicator or test of truth have been largely left to our intuitions. Lewis (Synthese 129:371–380, 2001) provides a clear proposal of how success and truth might be connected, (...) comparing a test of success of our theories to medical tests with low rates of false positives and false negatives. But, contrary to what Lewis claims, I argue that it is not enough for the realist to undercut the claim that success is not a reliable indicator of truth. Rather, the realist must show that our current best theories are likely true. Further, I argue that tests in science are unlike medical tests in a number of important ways. (shrink)

This paper identifies ‘savage numbers’ – number-like or number-replacing concepts and practices attributed to peoples viewed as civilizationally inferior – as a crucial and hitherto unrecognized body of evidence in the first two decades of the Victorian science of prehistory. It traces the changing and often ambivalent status of savage numbers in the period after the 1858–1859 ‘time revolution’ in the human sciences by following successive reappropriations of an iconic 1853 story from Francis Galton's African travels. In (...) response to a fundamental lack of physical evidence concerning prehistoric men, savage numbers offered a readily available body of data that helped scholars envisage great extremes of civilizational lowliness in a way that was at once analysable and comparable, and anecdotes like Galton's made those data vivid and compelling. Moreover, they provided a simple and direct means of conceiving of the progressive scale of civilizational development, uniting societies and races past and present, at the heart of Victorian scientific racism. (shrink)

A success-to-truth inference has always been at the heart of scientific realist positions. But all attempts to articulate the inference have met with very significant challenges. This paper reconstructs the evolution of this inference, and brings together a number of qualifications in an attempt to articulate a contemporary success-to-truth inference which is realistic. I argue that this contemporary version of the inference has a chance, at least, of overcoming the historical challenges which have been proffered to date. However, there is (...) a price to pay: the developments which help the realist answer the historical challenges also serve to increase the number of non-historical challenges. (shrink)

Purpose – The aim of this study is to study the implementation of G2B initiatives for small- and medium-sized enterprises in Hong Kong, focusing on the underlying importance, benefits and challenges. Design/methodology/approach – The context of this study was initially established based on comparisons with B2B initiatives. However, it is also learned from the literature that the transformational aspect of e-Government development has not been materialized, whereas the extended web assessment method, the three-ring model and DeLone and McLean’s IS success (...) model were therefore identified to derive and build the theoretical G2B success model, thereby developing the online survey instrument of this study. Specifically, a positivist paradigm was adopted to investigate the impact of each G2B success factor on the overall satisfaction with using the G2B systems under examination from the perspective of SMEs, rather than simply placing emphasis on the number of electronic services provided and the investments spent. Findings – The research findings were compiled based on both the multiple regression analysis and EWAM analysis results, thus making the necessary improvements in the appropriate service aspects of the G2B systems concerned. Originality/value – The main study concluded that prevalent G2B initiatives in Hong Kong have been largely connected to pursuing conservative paradigms in public service provision. The new e-Government strategic agenda is therefore laid out for increasing the overall transparency of new public management based on the provision of resilient-based public services, thereby advancing the democratic empowerment of all the G2B stakeholders involved and also maximizing the multifold effects of value creations. (shrink)

In the processing of subject-verb agreement, non-subject plural nouns following a singular subject sometimes “attract” the agreement with the verb, despite not being grammatically licensed to do so. This phenomenon generates agreement errors in production and an increased tendency to fail to notice such errors in comprehension, thereby providing a window into the representation of grammatical number in working memory during sentence processing. Research in this topic, however, is primarily done in related languages with similar agreement systems. In order to (...) increase the cross-linguistic coverage of the processing of agreement, we conducted a self-paced reading study in Modern Standard Arabic. We report robust agreement attraction errors in relative clauses, a configuration not particularly conducive to the generation of such errors for all possible lexicalizations. In particular, we examined the speed with which readers retrieve a subject controller for both grammatical and ungrammatical agreeing verbs in sentences where verbs are preceded by two NPs, one of which is a local non-subject NP that can act as a distractor for the successful resolution of subject-verb agreement. Our results suggest that the frequency of errors is modulated by the kind of plural formation strategy used on the attractor noun: nouns which form plurals by suffixation condition high rates of attraction, whereas nouns which form their plurals by internal vowel change (ablaut) generate lower rates of errors and reading-time attraction effects of smaller magnitudes. Furthermore, we show some evidence that these agreement attraction effects are mostly contained in the right tail of reaction time distributions. We also present modeling data in the ACT-R framework which supports a view of these ablauting patterns wherein they are differentially specified for number and evaluate the consequences of possible representations for theories of grammar and parsing. (shrink)

This book manuscript, entitled United Nations Human Rights Ethics: For The Greatest Success of the Greatest Number, critically examines most all major normative ethical theories since Socrates and finds Roman Stoic ethics to be the least deficient. It divides ethical theories into popular ones with little academic support, other popular ones that have had such support, and Kantian ethics standing alone as a philosopher's academic ethical philosophy with limited popular support. It criticizes the appropriation of human rights by the international (...) law profession to the exclusion of moral philosophy, despite the origin of "human rights" in the moral philosopher Rousseau. It blames the inability of moral philosophers to reach a professional consensus on the elements of normative ethics, not the legal profession. It laments both the failure of human rights education to human beings everywhere as requested by the Universal Declaration and the decline in popular support for human rights in favor of nationalism in current history since 2015. It advocates a way of redirecting human right education to people on the ground rather than mainly to law students. Such education has been overtaken by the Rule of Law movement fighting high crimes crimes against humanity unanticipated by the Universal Declaration. It argues for a way for ethicists to get on the same page in teaching elements in ethics and argues forcefully for a positive method for popular human rights education as well as for human rights-based elementary ethical theory. (shrink)

In an information state where various agents have both factual knowledge and knowledge about each other, announcements can be made that change the state of information. Such informative announcements can have the curious property that they become false because they are announced. The most typical example of that is 'fact p is true and you don't know that', after which you know that p, which entails the negation of the announcement formula. The announcement of such a formula in a given (...) information state is called an unsuccessful update. A successful formula is a formula that always becomes common knowledge after being announced. Analysis of information systems and 'philosophical puzzles' reveals a growing number of dynamic phenomena that can be described or explained by unsuccessful updates. This increases our understanding of such philosophical problems. We also investigate the syntactic characterization of the successful formulas. (shrink)

Abstract Finding the western just war criterion of reasonable chance of success to be a contribution to ethical decision making about armed conflict requires dealing with a number of critiques. Specifying ?probability? rather than the alternatives ?hope? or ?chance?, and raising standards of evidence involved, makes the term less vague. Expanding the concept of ?success? to include morally defensible aims that can be achieved without military victory enriches the understanding of the moral relationship between ends and means in armed conflict. (...) Asking decision makers to accept moral responsibility for the costs of possible failure is a unique contribution to the just war criteria. The enriched concept of reasonable probability of success thus offers morally significant insights to prewar jus ad bellum decisions, and can benefit ethical decision-making about whether to continue once fighting has begun. (shrink)

One of the most important abilities we have as humans is the ability to think about number. In this chapter, we examine the question of whether there is an essential connection between language and number. We provide a careful examination of two prominent theories according to which concepts of the positive integers are dependent on language. The first of these claims that language creates the positive integers on the basis of an innate capacity to represent real numbers. The second (...) claims that language’s function is to integrate contents from modules that humans share with other animals. We argue that neither model is successful. (shrink)

Ordinary language and scientific language enable us to speak about, in a singular way, what we recognize not to exist: fictions, the contents of our hallucinations, abstract objects, and various idealized but nonexistent objects that our scientific theories are often couched in terms of. Indeed, references to such nonexistent items-especially in the case of the application of mathematics to the sciences-are indispensable. We cannot avoid talking about such things. Scientific and ordinary languages thus enable us to say things about Pegasus (...) or about hallucinated objects that are true, such as "Pegasus was believed by the ancient Greeks to be a flying horse," or "That elf I'm now hallucinating over there is wearing blue shoes." Standard contemporary metaphysical views and semantic analyses of singular idioms on offer in contemporary philosophy of language have not successfully accommodated these routine practices of saying true and false things about the nonexistent while simultaneously honoring the insight that such things do not exist in any way at all. That is, philosophers often feel driven to claim that such objects do exist, or they claim that all our talk isn't genuine truth-apt talk, but only pretence. This book reconfigures metaphysics in radical ways that allow the accommodation of our ordinary ways of speaking of what does not exist while retaining the absolutely crucial presupposition that such objects exist in no way at all, have no properties, and so are not the truth-makers for the truths and falsities that are about them. (shrink)

In Western societies, height is positively correlated with reproductive success (RS) for men but negatively correlated with RS for women. These relationships have been attributed to sexual selection: women prefer tall men, and men prefer short women. It is this success in the marriage market which leads to higher RS for tall men and short women. We have already shown that the relationship between height and RS for women is quite different in a non-Western context. In a subsistence farming community (...) in rural Gambia, height is positively correlated with reproductive success for women, largely owing to the higher survival of the children of tall women. Here, the relationship between height and reproductive success is analyzed for men in the same community. For these Gambian men, there is no significant relationship between height and the number of children they produce, although tall men do contract more marriages than shorter men. We conclude that environmental context needs to be taken into account when analyzing human reproductive behavior. (shrink)

In an information state where various agents have both factual knowledge and knowledge about each other, announcements can be made that change the state of information. Such informative announcements can have the curious property that they become false because they are announced. The most typical example of that is ‘fact p is true and you don’t know that’, after which you know that p, which entails the negation of the announcement formula. The announcement of such a formula in a given (...) information state is called an unsuccessful update. A successful formula is a formula that always becomes common knowledge after being announced. Analysis of information systems and ‘philosophical puzzles’ reveals a growing number of dynamic phenomena that can be described or explained by unsuccessful updates. This increases our understanding of such philosophical problems. We also investigate the syntactic characterization of the successful formulas. (shrink)

Pay for Success (PFS), also known as Social Impact Bonds, is a new contracting mechanism to fund prevention programs, where investors provide capital to implement a social service -- for example, to reduce recidivism by former prisoners. If the service provider achieves agreed upon outcomes, the government pays the investor, usually with a rate of return, based on savings from decreased use of more costly remedial services, such as incarceration. Federal, state, and local agencies play an important role in improving (...) social outcomes for society's most vulnerable populations. A small number of state, local, and foreign governments are employing PFS to fund efforts designed to better serve these vulnerable populations. This book examines how selected PFS projects have been structured and what potential benefits these projects can provide; how selected PFS contracts have been structured to address potential project risks; and the potential roles for the federal government's involvement in PFS projects. This book also provides an overview of the first State-led Pay for Success and Social Impact "Bond" (SIB) project in the nation; examines some of the arguments for and against The Payment by Results (PbR) approach to delivery of public services; and looks at current and planned projects in rehabilitation, welfare to work, the NHS, children's social services and with rough sleepers and with vulnerable young people. (shrink)

This chapter analyzes Plotinus’ refutation of the Aristotle’s criticism of Plato’s view of number in the Parmenides. By rejecting any quantitative value of number in the intelligible realm, Plotinus specifically focuses on Aristotle’s inability to understand the Monad and the Indefinite Dyad as the principles of creation and order of the intelligible. The chapter shows that Plotinus not only follows the steps of his Platonic and Neopythagorean predecessors in defence of Plato’s position, but cleverly uses Aristotle’s own ideas in arguing (...) that number in the intelligible is activity and a property of primary substance. The result is an original and ontologically elaborate theory of substantial number which offers a new and more successful defence of Plato’s “true numbers” against Aristotle’s criticism and explains the relationship between substantial non-quantitative number and monadic quantitative number as that between intelligible paradigm and its material copy. (shrink)

This book is a collection of essays written by a distinguished mathematician with a very long and successful career as a researcher and educator working in many areas of pure and applied mathematics. The author writes about everything he found exciting about math, its history, and its connections with art, and about how to explain it when so many smart people (and children) are turned off by it. The three longest essays touch upon the foundations of mathematics, upon quantum mechanics (...) and Schrödinger's cat phenomena, and upon whether robots will ever have consciousness. Each of these essays includes some unpublished material. The author also touches upon his involvement with and feelings about issues in the larger world. The author's main goal when preparing the book was to convey how much he loves math and its sister fields. (shrink)

This book offers a reconstruction of the debate on non-Euclidean geometry in neo-Kantianism between the second half of the nineteenth century and the first decades of the twentieth century. Kant famously characterized space and time as a priori forms of intuitions, which lie at the foundation of mathematical knowledge. The success of his philosophical account of space was due not least to the fact that Euclidean geometry was widely considered to be a model of certainty at his time. However, such (...) later scientific developments as non-Euclidean geometries and Einstein’s general theory of relativity called into question the certainty of Euclidean geometry and posed the problem of reconsidering space as an open question for empirical research. The transformation of the concept of space from a source of knowledge to an object of research can be traced back to a tradition, which includes such mathematicians as Carl Friedrich Gauss, Bernhard Riemann, Richard Dedekind, Felix Klein, and Henri Poincaré, and which finds one of its clearest expressions in Hermann von Helmholtz’s epistemological works. Although Helmholtz formulated compelling objections to Kant, the author reconsiders different strategies for a philosophical account of the same transformation from a neo-Kantian perspective, and especially Hermann Cohen’s account of the aprioricity of mathematics in terms of applicability and Ernst Cassirer’s reformulation of the a priori of space in terms of a system of hypotheses. This book is ideal for students, scholars and researchers who wish to broaden their knowledge of non-Euclidean geometry or neo-Kantianism. (shrink)

This study aims to map out the relationships that make up green innovation initiatives in Brazilian industry. The sample comprised 100 managers at manufacturing companies, most of them operating in the business of farm machinery and equipment and steel structures. To develop this study, Medeiros et al. study, mapping critical factors that drive the success of green product innovation and the paradigm of complexity, was used as a reference study. Based on the results, it was possible to identify that the (...) operational dynamic of the factors and variables that affect market success do not happen in an isolated or fragmented way; they occur systematically with different contingencies and structured basic and intermediate skills in order to meet the expectations of consumers, laws, and environmental legislation. Initially, the technological expertise factor was noted as very important for sustaining green product innovation. Furthermore, since proactive leaders are an important factor for successfully developing environmentally sustainable products, it must be added to technological expertise as the foundation for developing green innovation. After defining the basis for green product innovation, the intermediary conditions necessary for using the available technology appropriately were mapped out. In this sense, variables such as “elimination of cultural barriers,” “capacity for critical reflective analysis,” and “experimentation” are also very important. In addition, some of the variables of the cross-functional collaboration and market knowledge factors were a part of the structure that organizations need to transform potential into developing green products, which is the basis for the third level of the model. The fourth level of the model has the “meeting consumer expectations” and “following law and legislation” factors, which make up the main goals for developing environmentally sustainable products according to a number of surveys that were conducted. (shrink)

In “Reason and the Republic of Opinion,” Leon Wieseltier bemoaned an age that reduces reason to utilitarian calculation and requires almost ritual genuflection before the altar of numbers. The spirit of this age is at work in the field of bioethics where, as Debra Mathews and colleagues point out in “A Conceptual Model for the Translation of Bioethics Research and Scholarship,” researchers and scholars are increasingly “being asked to demonstrate and also forecast the value and impact of their work.” (...) Despite the reductionism that typically accompanies the movements imbued with this spirit, the concern for accountability that stands behind the call for measuring success is legitimate. The bioethics community is thus fortunate to have such a distinguished group of scholars wrestling with these matters. Indeed, the effort of Mathews et al. to articulate a framework for determining success in bioethics research and scholarship is especially admirable precisely because they resist the temptation to reduce success to quantitative measures alone. That said, it is also important to say that it is nearly impossible to engage with the task these scholars have set for themselves and not succumb to a kind of data fetishism. It is well and good to talk about the complexity of bioethics as a field, but the language of “metrics,” “outputs,” “feedback loops,” “stakeholders,” and the like is not the language of the disciplines of history, literature, philosophy, or religious studies—all fields that Mathews et al. rightly credit with making important contributions to bioethics research and scholarship. (shrink)

Summary One of the central questions concerning theories of reference has been the problem of how the reference of scientific terms gets fixed. Descriptive causal theories of reference, as discussed in this paper, have re-introduced the role of theoretical beliefs and conceptualisations in term introductions and reference-fixing. The present paper argues that the idea of reference-fixing as a dot-like event (baptism) is wrong: a number of episodes from the history of science are discussed to support the claim that reference-fixing is (...) a historical, drawn-out process. This, however, does not stand in the way of successful reference. The two processes are simply separated. A criterion is suggested to determine successful reference. From this approach two further ideas follow: not all scientific terms actually have the power of referring and even those that do will always retain a residual indeterminacy. (shrink)

Plant succession is a phenomenon ascribed to vegetation dynamics at the scale of the plant community. The study of plant succession implies the analysis of the species involved and their relationships. Depending on the research done, the characteristics of trees have been studied according to either static, dimensional or partial approaches. We have revised the principal theories of succession, the methods of describing structure and development of tree and relationship established between tree species' attributes and their successional status. During studies (...) of succession, we propose that the profile of plant species be completed by including the organizational attributes of their structure as well as their development dynamics. We suggest an approach to the architecture that gives a general overview of the mode of development, revealing, among other things, that a limited number of architectural models may be found in nature. We hypothesize that community dynamics, in succession, may to a certain degree arise from the dynamic nature of plant development. This line of reasoning is in accordance with the current school of thought on process structuralism. (shrink)

Two recent studies have shown a relationship between male height and number of offspring in contemporary developed-world populations. One of them argues as a result that directional selection for male tallness is both positive and unconstrained. This paper uses data from a large and socially representative national cohort of men who were born in Britain in March 1958. Taller men were less likely to be childless than shorter ones. They did not have a greater mean number of children. If anything, (...) the pattern was the reverse, since men from higher socioeconomic groups tended to be taller and also to have smaller families. However, clear evidence was found that men who were taller than average were more likely to find a long-term partner, and also more likely to have several different long-term partners. This confirms the finding that tall men are considered more attractive and suggests that, in a noncontracepting environment, they would have more children. There is also evidence of stabilizing selection, since extremely tall men had an excess of health problems and an increased likelihood of childlessness. The conclusion is that male tallness has been selected for in recent human evolution but has been constrained by developmental factors and stabilizing selection on the extremely tall. (shrink)

In December 1990, an empirical study assessing hospital ethics committee (HEC) success was completed. Success was measured in terms of the number of interventions undertaken by the committees in four functional areas: education, guidelines development, prospective and retrospective case review. Some commonly quoted success determinants, such as multidisciplinarity, physician chairpersons, and a high institutional status of the chairperson were found not to foster success; the latter two, actually decreased committee success.

External pressures have changed the context within which CEOs are succeeded. At the same time, chairmen are clear that this responsibility is personal to them and are increasingly changing the nature of the process. Two new models of CEO succession are identified: one where the Board actively partners with the incumbent CEO and the other a crisis model where the Chairman and the Board assure the active management of the succession process. In both cases, best practice is for the Board (...) to develop its own assessment criteria. A 'best practice' profile is suggested. Good assessment processes then focus on understanding the candidate, identifying data gaps, looking at evidence of predicted future performance and identifying development priorities. The final stage of the process is transition planning. A process for CEO succession is proposed and a number of principles for effective succession are put forward. (shrink)

& Behavioral and brain imaging research indicates that human infants, humans adults, and many nonhuman animals represent large nonsymbolic numbers approximately, discriminating between sets with a ratio limit on accuracy. Some behavioral evidence, especially with human infants, suggests that these representations differ from representations of small numbers of objects. To investigate neural signatures of this distinction, event-related potentials were recorded as adult humans passively viewed the sequential presentation of dot arrays in an adaptation paradigm. In two studies, subjects (...) viewed successive arrays of a single number of dots interspersed with test arrays presenting the same or a different number; numerical range (small numerical quantities 1–3 vs. large numerical.. (shrink)

Numbers without Science opposes the Quine-Putnam indispensability argument, seeking to undermine the argument and reduce its profound influence. Philosophers rely on indispensability to justify mathematical knowledge using only empiricist epistemology. I argue that we need an independent account of our knowledge of mathematics. The indispensability argument, in broad form, consists of two premises. The major premise alleges that we are committed to mathematical objects if science requires them. The minor premise alleges that science in fact requires mathematical objects. The (...) most common rejection of the argument denies its minor premise by introducing scientific theories which do not refer to mathematical objects. Hartry Field has shown how we can reformulate some physical theories without mathematical commitments. I argue that Field’s preference for intrinsic explanation, which underlies his reformulation, is ill-motivated, and that his resultant fictionalism suffers unacceptable consequences. I attack the major premise instead. I argue that Quine provides a mistaken criterion for ontic commitment. Our uses of mathematics in scientific theory are instrumental and do not commit us to mathematical objects. Furthermore, even if we accept Quine’s criterion for ontic commitment, the indispensability argument justifies only an anemic version of mathematics, and does not yield traditional mathematical objects. The first two chapters of the dissertation develop these results for Quine’s indispensability argument. In the third chapter, I apply my findings to other contemporary indispensabilists, specifically the structuralists Michael Resnik and Stewart Shapiro. In the fourth chapter, I show that indispensability arguments which do not rely on Quine’s holism, like that of Putnam, are even less successful. Also in Chapter 4, I show how Putnam’s work in the philosophy of mathematics is unified around the indispensability argument. In the last chapter of the dissertation, I conclude that we need an account of mathematical knowledge which does not appeal to empirical science and which does not succumb to mysticism and speculation. Briefly, my strategy is to argue that any defensible solution to the demarcation problem of separating good scientific theories from bad ones will find mathematics to be good, if not empirical, science. (shrink)

Reliabilism suffers from a problem with long sequences of justifications. The theory of justification provided in process reliabilism allows for an implausibly large extension of ‘justified belief’. According to process reliabilist theory, it is possible that a justifying cognitive process has an arbitrarily low probability of being successful and a justified belief an arbitrarily low probability of being true. This result violates reliabilism’s aims as well as our ordinary standards of justification.

Although ever-increasing numbers of women in the United States have been choosing small-business ownership in an apparent attempt to escape their well-documented inequality in the labor market, in this country, small businesses owned by women tend to be less successful than those owned by men. This article brings together the scattered pieces of data available in order to shed light on women's inability to gain greater parity with men in the small-business arena in the United States. Analysis suggests that (...) U.S. women's influx into small capitalism results from their movement into expanding, but highly competitive, industrial niches that are relatively unattractive to men. The authors find that these woman-owned businesses are concentrated within traditionally female-typed fields with lower average business receipts than male-typed fields. Moreover, even within the same industrial subcategories, women owners achieve less economic success than men owners. Although some of the immediate barriers faced by U.S. women in the small-business arena-such as lack of access to capital and government contracts-differ from those that confront women employees, the underlying causes are similar. The authors' discussion suggests that women in the United States carry their labor market disadvantage with them to the small-business sphere, where it is compounded by new manifestations of the same institutional barriers. (shrink)

Understanding what numbers are means knowing several things. It means knowing how counting relates to numbers (called the cardinal principle or cardinality); it means knowing that each number is generated by adding one to the previous number (called the successor function or succession), and it means knowing that all and only sets whose members can be placed in one-to-one correspondence have the same number of items (called exact equality or equinumerosity). A previous study (Sarnecka & Carey, 2008) linked (...) children's understanding of cardinality to their understanding of succession for the numbers five and six. This study investigates the link between cardinality and equinumerosity for these numbers, finding that children either understand both cardinality and equinumerosity or they understand neither. This suggests that cardinality and equinumerosity (along with succession) are interrelated facets of the concepts five and six, the acquisition of which is an important conceptual achievement of early childhood. (shrink)

Being able to estimate quantity is important in everyday life and for success in the STEM disciplines. However, people have difficulty reasoning about magnitudes outside of human perception. This study examines patterns of estimation errors across temporal and spatial magnitudes at large scales. We evaluated the effectiveness of hierarchical alignment in improving estimations, and transfer across dimensions. The activity was successful in increasing accuracy for temporal and spatial magnitudes, and learning transferred to the estimation of numeric magnitudes associated with events (...) and objects. However, there were also a number of informative differences in performance on temporal, spatial, and numeric magnitude measures, suggesting that participants possess different categorical information for these scales. Educational implications are discussed. (shrink)

This study aims to map out the relationships that make up green innovation initiatives in Brazilian industry. The sample comprised 100 managers at manufacturing companies, most of them operating in the business of farm machinery and equipment and steel structures. To develop this study, Medeiros et al. study, mapping critical factors that drive the success of green product innovation and the paradigm of complexity, was used as a reference study. Based on the results, it was possible to identify that the (...) operational dynamic of the factors and variables that affect market success do not happen in an isolated or fragmented way; they occur systematically with different contingencies and structured basic and intermediate skills in order to meet the expectations of consumers, laws, and environmental legislation. Initially, the technological expertise factor was noted as very important for sustaining green product innovation. Furthermore, since proactive leaders are an important factor for successfully developing environmentally sustainable products, it must be added to technological expertise as the foundation for developing green innovation. After defining the basis for green product innovation, the intermediary conditions necessary for using the available technology appropriately were mapped out. In this sense, variables such as “elimination of cultural barriers,” “capacity for critical reflective analysis,” and “experimentation” are also very important. In addition, some of the variables of the cross-functional collaboration and market knowledge factors were a part of the structure that organizations need to transform potential into developing green products, which is the basis for the third level of the model. The fourth level of the model has the “meeting consumer expectations” and “following law and legislation” factors, which make up the main goals for developing environmentally sustainable products according to a number of surveys that were conducted. (shrink)

Why might it be beneficial for adults to process fractions componentially? Recent research has shown that college-educated adults can capitalize on the bipartite structure of the fraction notation, performing more successfully with fractions than with decimals in relational tasks, notably analogical reasoning. This study examined patterns of relational priming for problems with fractions in a task that required arithmetic computations. College students were asked to judge whether or not multiplication equations involving fractions were correct. Some equations served as structurally inverse (...) primes for the equation that immediately followed it. Students with relatively high math ability showed relational priming both with and without high perceptual similarity. Students with relatively low math ability also showed priming, but only when the structurally inverse equation pairs were supported by high perceptual similarity between numbers. Several additional experiments established boundary conditions on relational priming with fractions. These findings are interpreted in terms of componential processing of fractions in a relational multiplication context that takes advantage of their inherent connections to a multiplicative schema for whole numbers. (shrink)

What accounts for the prestige of quantitative methods? The usual answer is that quantification is desirable in social investigation as a result of its successes in science. Trust in Numbers questions whether such success in the study of stars, molecules, or cells should be an attractive model for research on human societies, and examines why the natural sciences are highly quantitative in the first place. Theodore Porter argues that a better understanding of the attractions of quantification in business, government, (...) and social research brings a fresh perspective to its role in psychology, physics, and medicine. Quantitative rigor is not inherent in science but arises from political and social pressures, and objectivity derives its impetus from cultural contexts. In a new preface, the author sheds light on the current infatuation with quantitative methods, particularly at the intersection of science and bureaucracy. (shrink)

A feature of Frege's philosophy of arithmetic that has elicited a great deal of attention in the recent secondary literature is his contention that numbers are ‘self‐subsistent’ objects. The considerable interest in this thesis among the contemporary philosophy of mathematics community stands in marked contrast to Kreisel's folk‐lore observation that the central problem in the philosophy of mathematics is not the existence of mathematical objects, but the objectivity of mathematics. Although Frege was undoubtedly concerned with both questions, a goal (...) of the present paper is to argue that his success in securing the objectivity of arithmetic depends on a less contentious commitment to numbers as objects than either he or his critics have supposed. As such, this paper is an articulation and defense of both Frege's analysis of arithmetic and Kreisel's observation. (shrink)

We explore success drivers of reward-based crowdfunding for poverty alleviation in China. The results from our econometric modeling using data from 4375 reward-based crowdfunding campaigns suggest that poverty alleviation campaigns, as compared to ordinary ones, benefit from higher funded amounts, larger backer numbers, and greater success rates. The results also suggest that poverty alleviation campaigns perform better when the products sold originate from poorer (as compared to wealthier) regions and when price premiums are lower (as compared to higher). We (...) corroborate important findings from the field study with an experimental study, showing that the consumer’s feeling of warm glow accounts for the positive effects of poverty alleviation campaigns (as compared to ordinary) campaigns. We expand the applications of warm-glow theory into the context of reward-based crowdfunding campaigns for poverty alleviation and offer new insights into success drivers of such campaigns. (shrink)

From 1950 to 1952, statisticians W.G. Cochran, C.F. Mosteller, and J.W. Tukey reviewed A.C. Kinsey and colleagues’ methodology. Neither the history-and-philosophy of science literature nor contemporary theories of interdisciplinarity seem to offer a conceptual model that fits this forced interaction, which was characterized by significant power asymmetries and disagreements on multiple levels. The statisticians initially attempted to exclude all non-technical matters from their evaluation, but their political and personal investments interfered with this agenda. In the face of McCarthy’s witch hunts, (...) negotiations with Kinsey and his funding institutions became integral to the review group’s work. This paper analyzes the heavy burden of emotional and affective labor in this collaboration, the conflicts caused by competing visions of objectivity, and the uses of statistical knowledge to gain and sustain authority. Kinsey’s refusal to adopt the recommended probability sample damaged his already precarious position even further and marked him as a biased researcher who put his personal agenda above methodological rigor. Kinsey’s uncooperative demeanor can be explained by distrust resulting from numerous adverse reactions to his work and by fear of having his sexuality exposed. This case study illustrates that the very concept of valid numbers can become an arena for power struggles and that quantification alone does not guarantee productive exchanges across disciplines. It calls for a deeper conceptual analysis of the prerequisites for successful scientific collaborations. (shrink)

Studies of multiple paternity in mammals and other animal species generally report proportion of multiple paternity among litters, mean litter sizes, and mean number of sires per litter. It is shown how these variables can be used to produce an estimate of the probability of reproductive success for a male that has mated with a female. This estimate of male success is more informative about the mating system that alternative measures, like the proportion of litters with multiple paternity or the (...) mean number of sires per litter. The probability of success for a mated male can be measured both theoretically and empirically, and gives an estimate of the intensity of sperm competition and of a male's “confidence of paternity” upon mating. The probability of success for mated males for ten “exemplar” species of mammals is estimated and they are compared for insights into the functioning of their mating systems. (shrink)

While there is convincing evidence that preverbal human infants and non-human primates can spontaneously represent number, considerable debate surrounds the possibility that such capacity is also present in other animals. Fish show a remarkable ability to discriminate between different numbers of social companions. Previous work has demonstrated that in fish the same set of signature limits that characterize non-verbal numerical systems in primates is present but yet to provide any demonstration that fish can really represent number rather than basing (...) their discrimination on continuous attributes that co-vary with number. In the present work, using the method of 'item by item' presentation, we provide the first evidence that fish are capable of selecting the larger group of social companions relying exclusively on numerical information. In our tests subjects could choose between one large and one small group of companions when permitted to see only one fish at a time. Fish were successful when both small (3 vs. 2) and large numbers (8 vs. 4) were involved and their performance was not affected by the density of the fish or by the overall space occupied by the group. (shrink)

The main question is whether chemically induced mood enhancement is likely to make us happier, or whether it may rather have detrimental effects on our long-term happiness. This question is divided into three: What effects are mood -enhancing drugs likely to have on the long-term happiness of the person who takes these drugs? How would these drugs affect the happiness of the immediate environment of the people who take them, e.g. children or spouses? What effects would a wide-spread use of (...) mood -enhancing drugs have on society as a whole, and how would this affect the long-term happiness of its citizens? My answers to these questions are very tentative, partly because we know too little about what non-hedonic effects these drugs can be expected to have. It is possible that these drugs would have detrimental effects on some determinants of happiness, however, e.g. marriage and friendship, social and physical activity, rational problem-solving and mental effectiveness, political participation and interpersonal trust. But on the other hand, there are also a number of determinants of happiness that might be positively affected by a wide-spread and frequent use of mood -enhancing drugs. (shrink)

We report the results of an experiment in which human subjects were trained to perform a perceptual matching task. Subjects were asked to manipulate comparison objects until they matched target objects using the fewest manipulations possible. An unusual feature of the experimental task is that efficient performance requires an understanding of the hidden or latent causal structure governing the relationships between actions and perceptual outcomes. We use two benchmarks to evaluate the quality of subjects’ learning. One benchmark is based on (...) optimal performance as calculated by a dynamic programming procedure. The other is based on an adaptive computational agent that uses a reinforcement-learning method known as Q-learning to learn to perform the task. Our analyses suggest that subjects were successful learners. In particular, they learned to perform the perceptual matching task in a near-optimal manner (i.e., using a small number of manipulations) at the end of training. Subjects were able to achieve near-optimal performance because they learned, at least partially, the causal structure underlying the task. In addition, subjects’ performances were broadly consistent with those of model-based reinforcement-learning agents that built and used internal models of how their actions influenced the external environment. We hypothesize that people will achieve near-optimal performances on tasks requiring sequences of action—especially sensorimotor tasks with underlying latent causal structures—when they can detect the effects of their actions on the environment, and when they can represent and reason about these effects using an internal mental model. (shrink)

Often illustrated with the examples of melody, Bergson’s key concept of durée is best known for its qualitative, heterogeneous, and thus immeasurable multiplicity. However, the examples he gives in Time and Free Will—such as “the regular oscillations of a pendulum” or “the successive strokes of a distant bell”—suggest rather periodic phenomena that would require another perspec­tive in terms of rhythm. When we “get into a rhythm,” we perceive a numerical quality without counting. Rhythm makes glimpse “Otherwise than Measuring”. Focusing (...) on the “rhythmic organization of the whole” within duration could reveal the secret of Bergson’s enigmatic phrase: “this heterogeneity contains number only potentially.” This paper reexamines the theoretical scope of rhyth­measure in two ways. First, it shows how this image médiatrice we forged is going to be renewed by recent studies emphasizing duration-number (Miravete) or multi-time scale theory (Hirai). Second, it explores the ethico-political impli­cations of rhythmeasure. Bergson, in his last book Two Sources of Morality and Religion, multiplies images of “a justice (…) which no longer evokes ideas ofrelativity and proportion, but, on the contrary, of the incommensurable and the absolute”. The very ambiguity of démesuré revitalizes the famous opposition of “the closed/the open”. Keywords: Duration. Rhythm. Number. Ethics. Démesure. (shrink)

This article endeavours to open up a dialogue between succession law and the field of gender, sexuality and the law. It presents a detailed analysis of five cases concerning inheritance disputes relating to lesbians or gay men. The sexuality of the parties in the cases is ‘doctrinally irrelevant’ but the analysis demonstrates the significance of sexuality in the resolution of the legal disputes. In doing so it identifies how legal discourse remains a critical site for the production of societal norms (...) and in particular how lesbian and gay perspectives reveal the gendered assumptions underlying a number of key succession law doctrines. It emphasises the importance of taking difference seriously and the limits to formal legal equality. (shrink)

Decision making for incompetent patients is a much-discussed topic in bioethics. According to one influential decision making standard, the substituted judgment standard, a surrogate decision maker ought to make the decision that the incompetent patient would have made, had he or she been competent. Empirical research has been conducted in order to find out whether surrogate decision makers are sufficiently good at doing their job, as this is defined by the substituted judgment standard. This research investigates to what extent surrogates (...) are able to predict what the patient would have preferred in the relevant circumstances. In this paper we address a methodological shortcoming evident in a significant number of studies. The mistake consists in categorizing responses that only express uncertainty as predictions that the patient would be positive to treatment, on the grounds that the clinical default is to provide treatment unless it is refused. We argue that this practice is based on confusion and that it risks damaging the research on surrogate accuracy. (shrink)

The Successive Addition Argument (SAA) is one of the arguments proposed by the defenders of the Kalām Cosmological Argument to support the claim that the universe has a beginning. The main premise of SAA states that a collection formed by successive addition cannot be an actual infinite. This premise is challenged by an argument originally proposed by Fred Dretske. According to Dretske’s Argument (DA), the scenario of a counter who starts counting numbers and never stops can provide (...) a counterexample to the main premise of SAA. I argue that neither DA nor its past-oriented counterpart—which discusses the scenario of a counter who has always been counting negative integers from the infinite past—can play a decisive role in our evaluation of the strength of the arguments that are intended to establish the finitude of the past based on the impossibility of an actually infinite number of successive additions. (shrink)

In this paper, we present a contest success function, which is homogeneous of degree zero and in which the probability of winning the prize depends on the relative difference of efforts. In a simultaneous game with two players, we present a necessary and sufficient condition for the existence of a pure strategy Nash equilibrium. This equilibrium is unique and interior. This condition does not depend on the size of the valuations as in an absolute difference CSF. We prove that several (...) properties of Nash equilibrium with the Tullock CSF still hold in our framework. Finally, we consider the case of n\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$n$$\end{document} players, generalize the previous condition and show that this condition is sufficient for the existence of a unique interior Nash equilibrium in pure strategies. For some parameter values of our CSF and when all players are identical, equilibrium entails full rent dissipation for any number of players. (shrink)

Companies' urge to maximise their profits and their attempts to remain in the highly competitive globalised market gave birth to the TQM concept and have kept it alive. TQM is a comprehensive look which encompasses virtually every aspect of the value chain as well as the human resource and customer satisfaction. Therefore, a great number of companies feel obliged to implement its rules, and procedures. However, the concept is rather complicated and culture-bound, and calls for further research in new settings. (...) The aim of this study is to examine the influences of critical success factors of TQM on customer focus therefore, employees are classified based on their perceptions from critical success factors of total quality management and consequently the level of customer focus is compared between the different classifications. The findings reveal that there is significant difference on the level of the customer focus between the established groups of employees. (shrink)