The performance of the Mundurucu on the number-space task may exemplify a general competence for drawing analogies between space and other linear dimensions, but Mundurucu participants spontaneously chose number when other dimensions were available. Response placement may not reflect the subjective scale for numbers, but Cantlon et al.'s proposal of a linear scale with scalar variability requires additional hypotheses that are problematic.

On pages 490-491, in describing the results of Experiment 2, the authors state that out of a total of 3840 responses, only 355 (or 9%) fell outside the response deadlines. In fact, the total number of responses in Experiment 2 was 3200 and so the 355 responses represented 11%, not 9%, of the total. This error has no other implications. The authors are grateful to Peter Graf (personal communication, March 12, 2000) for pointing out the error.

‘Number sense’ is a short‐hand for our ability to quickly understand, approximate, and manipulate numerical quantities. My hypothesis is that number sense rests on cerebral circuits that have evolved specifically for the purpose of representing basic arithmetic knowledge. Four lines of evidence suggesting that number sense constitutes a domain‐specific, biologically‐determined ability are reviewed: the presence of evolutionary precursors of arithmetic in animals; the early emergence of arithmetic competence in infants independently of other abilities, including language; the existence (...) of a homology between the animal, infant, and human adult abilities for number processing; and the existence of a dedicated cerebral substrate. In adults of all cultures, lesions to the inferior parietal region can specifically impair number sense while leaving the knowledge of other cognitive domains intact. Furthermore, this region is demonstrably activated during number processing. I postulate that higher–level cultural devel‐opments in arithmetic emerge through the establishment of linkages between this core analogical representation (the ‘number line’ ) and other verbal and visual representations of number notations. The neural and cognitive organization of those representations can explain why some mathematical concepts are intuitive, while others are so difficult to grasp. Thus, the ultimate foundations of mathematics rests on core representations that have been internalized in our brains through evolution. (shrink)

There is a need to increase the number of practicing medical doctors in South Africa. We examine the ethical implications of patients’ rights being affected in medical education in a South African context.The South African legal framework advocates public healthcare access. Yet, the State’s ethical obligations when it comes to guaranteeing public healthcare access, conflict with its utilitarian policy, that allows for medical education to help achieve the State’s public healthcare commitments, at the cost of eroding patients’ rights, and (...) accepts that certain actions are imperative, in line with Ubuntu, which is tenable yet nuanced. A patient treated by a licenced doctor today, benefits because other patients have allowed themselves to be used as hands-on learning material for medical students yesterday.Healthcare institutions need to take cognisance of the numbers of medical students that patients can reasonably be expected to endure. There is a need for the Health Professions Council of South Africa and medical schools to adopt guidelines on reasonable levels of medical student-patient interaction, and medical student-to-patient ratios in healthcare delivery. (shrink)

‘Number sense’ is a short‐hand for our ability to quickly understand, approximate, and manipulate numerical quantities. My hypothesis is that number sense rests on cerebral circuits that have evolved specifically for the purpose of representing basic arithmetic knowledge. Four lines of evidence suggesting that number sense constitutes a domain‐specific, biologically‐determined ability are reviewed: the presence of evolutionary precursors of arithmetic in animals; the early emergence of arithmetic competence in infants independently of other abilities, including language; the existence (...) of a homology between the animal, infant, and human adult abilities for number processing; and the existence of a dedicated cerebral substrate. In adults of all cultures, lesions to the inferior parietal region can specifically impair number sense while leaving the knowledge of other cognitive domains intact. Furthermore, this region is demonstrably activated during number processing. I postulate that higher–level cultural devel‐opments in arithmetic emerge through the establishment of linkages between this core analogical representation (the ‘number line’ ) and other verbal and visual representations of number notations. The neural and cognitive organization of those representations can explain why some mathematical concepts are intuitive, while others are so difficult to grasp. Thus, the ultimate foundations of mathematics rests on core representations that have been internalized in our brains through evolution. (shrink)

This paper reflects on two ideas addressed in Benoît Vermander’s essay “Edit by Number.” First, how can we apply “coherence in structure” to the historical development of textual production and edition in ancient China? And second, what concept of number underlies the considerations in the Huáinán Zǐ 淮南子? To answer the first question, this article compares the different compositional patterns of texts that, as with the Lǎo Zǐ 老子and the Yì Jīng 易經, are available to us in different (...) versions. The result of the comparison shows that the differences seem to outweigh the coherent patterns, so we must assume that some texts have undergone very large changes historically. Regarding the concept of number, different views on number are highlighted in texts of the Warring States Period and the Hàn 漢 dynasty, which shows that the Huáinán Zǐ contains a very specific concept of number and its own theory of the One. (shrink)

In this response essay, Peter Taubman considers the relationship between melancholia and Freud's notion of a death drive. Taubman explores how audit culture sustains melancholia and intensifies the death drive, ultimately deadening our psyches by erasing memory, disparaging feelings, shutting down thought, and ignoring history. Taubman concludes with a suggestion that educators once again integrate discussions of Eros, or love, in their approaches to curriculum and teaching.

A number of companies including Google and BMW are currently working on the development of autonomous cars. But if fully autonomous cars are going to drive on our roads, it must be decided who is to be held responsible in case of accidents. This involves not only legal questions, but also moral ones. The first question discussed is whether we should try to design the tort liability for car manufacturers in a way that will help along the development and (...) improvement of autonomous vehicles. In particular, Patrick Lin’s concern that any security gain derived from the introduction of autonomous cars would constitute a trade-off in human lives will be addressed. The second question is whether it would be morally permissible to impose liability on the user based on a duty to pay attention to the road and traffic and to intervene when necessary to avoid accidents. Doubts about the moral legitimacy of such a scheme are based on the notion that it is a form of defamation if a person is held to blame for causing the death of another by his inattention if he never had a real chance to intervene. Therefore, the legitimacy of such an approach would depend on the user having an actual chance to do so. The last option discussed in this paper is a system in which a person using an autonomous vehicle has no duty of interfering, but is still held responsible for possible accidents. Two ways of doing so are discussed, but only one is judged morally feasible. (shrink)

On a now orthodox view, humans and many other animals possess a “number sense,” or approximate number system, that represents number. Recently, this orthodox view has been subject to numerous critiques that question whether the ANS genuinely represents number. We distinguish three lines of critique – the arguments from congruency, confounds, and imprecision – and show that none succeed. We then provide positive reasons to think that the ANS genuinely represents numbers, and not just non-numerical confounds (...) or exotic substitutes for number, such as “numerosities” or “quanticals,” as critics propose. In so doing, we raise a neglected question: numbers of what kind? Proponents of the orthodox view have been remarkably coy on this issue. But this is unsatisfactory since the predictions of the orthodox view, including the situations in which the ANS is expected to succeed or fail, turn on the kind of number being represented. In response, we propose that the ANS represents not only natural numbers, but also non-natural rational numbers. It does not represent irrational numbers, however, and thereby fails to represent the real numbers more generally. This distances our proposal from existing conjectures, refines our understanding of the ANS, and paves the way for future research. (shrink)

Whether negative numbers have a fixed spatial–numerical association of response codes effect, and whether the spatial representation of negative numbers is associated with negative numbers’ absolute or signed values remains controversial. In this study, through three experiments, the coding level of the magnitude and the spatial-direction is manipulated. In the first experiment, participants are required to code the magnitude and spatial-direction explicitly by using a magnitude classification task. In the second experiment, participants are forced to code the magnitude implicitly as (...) well as to code the spatial-direction explicitly by utilizing a cuing task. In the third experiment, participants are obliged to code the magnitude explicitly as well as to code the spatial-direction implicitly by adopting a magnitude and arrow-direction classification tasks with Go/No-Go responses. The results show that the absolute value of negative numbers associates with space when the magnitude of negative numbers is explicitly coded, no matter employing the explicit or implicit spatial-direction; the signed value of negative numbers associates with space under the condition of implicit magnitude as well as explicit spatial-direction. In conclusion, the current study indicates that the SNARC effect of negative numbers is variable in different conditions, and the type of SNARC effect about negative numbers is modulated by the joint coding level of the magnitude and spatial-direction. (shrink)

Number Nativism is the view that humans innately represent precise natural numbers. Despite a long and venerable history, it is often considered hopelessly out of touch with the empirical record. I argue that this is a mistake. After clarifying Number Nativism and distancing it from related conjectures, I distinguish three arguments which have been seen to refute the view. I argue that, while popular, two of these arguments miss the mark, and fail to place pressure on Number (...) Nativism. Meanwhile, a third argument is best construed as a challenge: rather than refuting Number Nativism, it challenges its proponents to provide positive evidence for their thesis and show that this can be squared with apparent counterevidence. In response, I introduce psycholinguistic work on The Tolerance Principle (not yet considered in this context), propose that it is hard to make sense of without positing precise and innate representations of natural numbers, and argue that there is no obvious reason why these innate representations couldn’t serve as a basis for mature numeric conception. (shrink)

A number of recent authors, most notably Joseph Heath, have persausively defended a market‐centered account of corporate responsibility that grounds standards of business conduct upon the normative presuppositions of the market. They have us focus on two important items: first, the value of welfare, or Pareto efficient outcomes, which underwrites the legitimacy of market arrangements; and second, the behavioral requirements needed to assure that corporations conduct business in a manner consistent with this value. This article critically examines the aspirations (...) of this literature by embracing its basic method but questioning how well it understands the aim of the market. It puts forth a limited case for corporate responsibility anchored in other dimensions of the public good, distinct from the value of efficiency, and argues that a plausible understanding of corporate responsibility arises from the notion that market arrangements are sites of delegated social authority to provision other aspects of the common good. (shrink)

The number of publications that highlight the influence of visions and futuristic narratives on the development of emerging technologies increases. Toolboxes such as “Hermeneutical Technology Assessment” and “Vision Assessment” provide methodological considerations on how to assess techno-futuristic narratives, their proponents, and their impact on technological development. Because of their contributions to the technoscientific discourse, a special responsibility for technological processes is attributed to the “visioneers” of such narratives. While such a claim naturally follows from an agential role in a (...) process, it is not clear whether visioneers should be held responsible. Some problems of this attribution will be addressed in the present paper. Particularly the following questions will be considered: Which role does autonomy play for responsibility? Is causation sufficient for the attribution of responsibility? Which role do intentions and alternatives play for the responsibility of visioneers? These questions will be discussed against the backdrop of contemporary approaches to the responsibility of visioneering and classic philosophical works in the field. Furthermore, the problem of accountability will be considered. Socio-technical systems are highly complex, which makes it hard to trace back the origins of particular developments. It will be argued that it is currently unreasonable to give visioneers the status of an important player. The article will shed light on the several dimensions of responsibility and provide a more nuanced understanding of responsibility in the context of new and emerging technologies. (shrink)

Response Content Type Journal Article Pages 215-216 DOI 10.1007/s11673-011-9296-0 Authors Henry Kilham, General Medicine and Clinical Ethics, The Children’s Hospital at Westmead, Westmead, NSW, Australia 2063 David Isaacs, The Centre for Values Ethics and the Law in Medicine, University of Sydney, Sydney, NSW, Australia 2006 Journal Journal of Bioethical Inquiry Online ISSN 1872-4353 Print ISSN 1176-7529 Journal Volume Volume 8 Journal Issue Volume 8, Number 2.

A number of philosophers have recently argued that we should interpret the debate over moral responsibility as a debate over the conditions under which it would be “fair” to blame a person for her attitudes or conduct. What is distinctive about these accounts is that they begin with the stance of the moral judge, rather than that of the agent who is judged, and make attributions of responsibility dependent upon whether it would be fair or appropriate for a moral (...) judge to react to the agent in various (negative) ways. This is problematic, I argue, because our intuitions about whether and when it would be fair to react negatively to another are sensitive to a host of considerations that appear to have little or nothing to do with an agent’s responsibility or culpability for her attitudes or behavior. If this is correct, then theories which make attributions of responsibility dependent upon the appropriateness of our reactions as moral judges will turn out to be fundamentally misguided. (shrink)

Response to commentaries on “The Transmission Sense of Information” Content Type Journal Article Pages 195-200 DOI 10.1007/s10539-011-9257-3 Authors Carl T. Bergstrom, Department of Biology, University of Washington, Seattle, WA 98195-1800, USA Martin Rosvall, Integrated Science Lab, Department of Physics, Umeå University, 901 87 Umeå, Sweden Journal Biology and Philosophy Online ISSN 1572-8404 Print ISSN 0169-3867 Journal Volume Volume 26 Journal Issue Volume 26, Number 2.

In Western countries a considerable number of older people move to a residential home when their health declines. Institutionalization often results in increased dependence, inactivity and loss of identity or self-worth (dignity). This raises the moral question as to how older, institutionalized people can remain autonomous as far as continuing to live in line with their own values is concerned. Following Walker's meta-ethical framework on the assignment of responsibilities, we suggest that instead of directing all older people towards more (...) autonomy in terms of independence, professional caregivers should listen to the life narrative of older people and attempt to find out how their personal identity, relations and values in life can be continued in the new setting. If mutual normative expectations between caregivers and older people are not carefully negotiated, it creates tension. This tension is illustrated by the narrative of Mr Powell, a retired successful public servant now living in a residential home. The narrative describes his current life, his need for help, his independent frame of mind, and his encounters with institutional and professional policies. Mr Powell sees himself as a man who has always cared for himself and others, and who still feels that he has to fulfil certain duties in life. Mr Powell's story shows that he is not always understood well by caregivers who respond from a one-sided view of autonomy as independence. This leads to misunderstanding and an underestimation of his need to be noticed and involved in the residential community. (shrink)

Physiological responses in futsal have not been studied together with temporal information about the players’ stay on the court. The aim of this study was to compare heart rate and blood lactate concentration responses between 1-H and 2-H considering the time of permanency of the players on the court at each substitution in a futsal match. HR was recorded during entire match and [La−] was analyzed after each substitution of seven players. %HRmean and [La−] mean did not differ (...) between 1-H and 2-H. Time in intensity zones of 50–100 %HRmax differed only in 60–70 %HRmax. HR coefficient of variation throughout the match was low and among the four outfield players on the court. Substitutions, time of permanence on the court, ratio between time in- and out-ratio on the court also were similar between 1-H and 2-H. Balancing the number of substitutions, and the In:Outcourt ratio of players in both halves of the match, playing lower time at 1-H, ~8 min for each participation in the match, made it possible to maintain intensity of the match in 2-H similar to the 1H. These results are a good guidance to coaches and for application in future studies. (shrink)

In their response, The role of the church in developing the law: response to commentators, Professors Skene and Parker make a number of criticisms of my commentary, some contestable, some plainly mistaken.1Their first criticism is that I am “incorrect” and “misleading” in describing the New South Wales Crimes Act as “[a] statute which provided that abortion was a criminal offence”. They give as their reason that: “The criminal offence created by section 83 of the Crimes Act 1900 is not (...) abortion. It is unlawful abortion. Because the word ‘unlawfully’ appears in the act, it is clear that the law states that it is sometime lawful to undertake an abortion.” They then explain the interpretation of the cognate provision in the Victorian legislation provided by Justice Menhennit in R v Davidson [1969] VR 667.The reason they offer for their criticism fairly summarises the moves made by Macnaghten J in his direction in R v Bourne and by Menhennit J in R v Davidson. But it is far from “clear” that the use of the word “unlawfully” supports those moves. It was and remains a matter of real controversy whether the use of the expression “unlawfully” has the meaning which Menhennit J attached to it.Section 83 of the Crimes Act provided:"Whosoever—unlawfully administers to, or causes to be taken by, any woman, whether with child or not, any drug or noxious thing; or unlawfully uses any instrument or other means, with intent in any such case to procure a miscarriage, shall be liable to penal servitude for ten years."Consider that provision alongside other provisions in the Crimes Act 1900 which also make use of the term …. (shrink)

The paper aims to put certain basic mathematical elements and operations into an empirical perspective, evaluate the empirical status of various analytic operations widely used within psychology and suggest alternatives to procedures criticized as inadequate. Experimentation shows the "manyness" of items to be a perceptual quality for both young children and animals and that natural operations are performed by naive children analogous to those performed by persons tutored in arithmetic. Number, counting, arithmetic operations therefore can make distinctions that are (...) not inevitably arbitrary, and conceptual operations can obviously have a status as natural events with psychology. If the elements and conceptual operations involved in mathematical systems were not inherent in physiological process, various primitive discriminations could not be possible. Also, since some calculi have a natural status in a given empirical circumstance, the axioms of others can not be satisfied. Therefore the psychologist when acting as an empirical scientist seeks a calculus having a structure whose elements are isomorphic with natural units of stimulus and response and whose operations are isomorphic with whatever natural processes are involved. Measurement poses a special problem for the empirical scientist. It concerns but a single class of natural qualities and this only in a limited way. The concept of quantity has a natural counterpart but quantity and measurement are not wholly analogous. Measurement is defined, as H. S. Leonard suggests, as a theoretical activity. Measurement theory has a formal structure but empirical end. Measurement hypothesizes about the position of a particular quality within a definite range of qualities. It therefore is beholden to definite empirical restrictions. Some hypotheses-making systems use terms and relations per se as the context and starting point for dealing with discriminable events. Such procedures are 'transcendent." In empirical science, questions are part of problem-solving activity and their reference is naturally restricted. In providing description and explanation, psychological researchers frequently use calculi in a transcendent way. This results in theories that are only quasi-empirical and "half" true. The roles measurement plays in psychology are discussed. Of particular concern are those cases in which the results of measuring or a theory of measurement are used to define the "real" units, or the "real" relations involved in problematic psychological events, and thence to describe and explain behaviors of interest. Metaphysical or ontological usages of measurement sometimes occur. The implication of these arguments with regard to a view of empirical science is discussed. (shrink)

Recently, a number of philosophers have begun to question the commonly held view that choice or voluntary control is a precondition of moral responsibility. According to these philosophers, what really matters in determining a person’s responsibility for some thing is whether that thing can be seen as indicative or expressive of her judgments, values, or normative commitments. Such accounts might therefore be understood as updated versions of what Susan Wolf has called “real self views,” insofar as they attempt to (...) ground an agent’s responsibility for her actions and attitudes in the fact (when it is a fact) that they express who she is as a moral agent. As such, they seem to be open to some of the same objections Wolf originally raised to such accounts, and in particular to the objection that they cannot license the sorts of robust moral assessments involved in our current practices of moral responsibility. My aim in this paper is to try to respond to this challenge, by clarifying the kind of robust moral assessments I take to be licensed by (at least some) non-volitional accounts of responsibility and by explaining why these assessments do not in general require the agent to have voluntary control over everything for which she is held responsible. I also argue that the limited applicability of the distinction between “bad agents” and “blameworthy agents” on these accounts is in fact a mark in their favor. (shrink)