A review of Geoffrey B. Saxe, Cultural Development of Mathematical Ideas. Saxe offers a comprehensive treatment of social and linguistic change in the number systems used for economic exchange in the Oksapmin community of Papua New Guinea. By taking the cognition-is-social approach, Saxe positions himself within emerging perspectives that view cognition as enacted, situated, and extended. The approach is somewhat risky in that sociality surely does not exhaust cognition. Brains, bodies, and materiality also contribute to cognition—causally (...) at least, and possibly constitutively as well (as argued by Clark & Chalmers; Renfrew & Malafouris). This omission necessarily excludes the material dimension of numeracy. (shrink)

In their recent paper on “Challenges in mathematical cognition”, Alcock and colleagues (Alcock et al. [2016]. Challenges in mathematical cognition: A collaboratively-derived research agenda. Journal of Numerical Cognition, 2, 20-41) defined a research agenda through 26 specific research questions. An important dimension of mathematical cognition almost completely absent from their discussion is the cultural constitution of mathematical cognition. Spanning work from a broad range of disciplines – including anthropology, archaeology, cognitive science, history of science, linguistics, philosophy, and psychology – we (...) argue that for any research agenda on mathematical cognition the cultural dimension is indispensable, and we propose a set of exemplary research questions related to it. (shrink)

From one of the most influential scientists of our time, a dazzling exploration of the hidden laws that govern the life cycle of everything from plants and animals to the cities we live in. The former head of the Sante Fe Institute, visionary physicist Geoffrey West is a pioneer in the field of complexity science, the science of emergent systems and networks. The term "complexity" can be misleading, however, because what makes West's discoveries so beautiful is that he has (...) found an underlying simplicity that unites the seemingly complex and diverse phenomena of living systems, including our bodies, our cities and our businesses. Fascinated by issues of aging and mortality, West applied the rigor of a physicist to the biological question of why we live as long as we do and no longer. The result was astonishing, and changed science, creating a new understanding of energy use and metabolism: West found that despite the riotous diversity in the sizes of mammals, they are all, to a large degree, scaled versions of each other. If you know the size of a mammal, you can use scaling laws to learn everything from how much food it eats per day, what its heart-rate is, how long it will take to mature, its lifespan, and so on. Furthermore, the efficiency of the mammal's circulatory systems scales up precisely based on weight: if you compare a mouse, a human and an elephant on a logarithmic graph, you find with every doubling of average weight, a species gets 25% more efficient--and lives 25% longer. This speaks to everything from how long we can expect to live to how many hours of sleep we need. Fundamentally, he has proven, the issue has to do with the fractal geometry of the networks that supply energy and remove waste from the organism's body. (shrink)

In this essay, I first extend the insights of virtue ethics into environmental ethics and examine the possible dangers of this approach. Second, I analyze some qualities of character that an environmentally virtuous person must possess. Third, I evaluate “humility” as an environmental virtue, specifically, the position of Thomas E. Hill, Jr. I conclude that Hill’s conception of “proper” humility can be more adequatelyexplicated by associating it with another virtue, environmental “openness.”.

In this essay, I first extend the insights of virtue ethics into environmental ethics and examine the possible dangers of this approach. Second, I analyze some qualities of character that an environmentally virtuous person must possess. Third, I evaluate “humility” as an environmental virtue, specifically, the position of Thomas E. Hill, Jr. I conclude that Hill’s conception of “proper” humility can be more adequatelyexplicated by associating it with another virtue, environmental “openness.”.

There has been increased interest in developing what I call environmental virtue ethics (EVE). This paper presents some of the centralfeatures of this project. The first part is a general description of EVE, showing why there is a need for it. The second part spells out the central features of EVE including an account of the good life as flourishing in an expanded or mixed biotic community, and provides a tentative list of important environmental virtues. The third part examines one (...) virtue: friendship, showing how an understanding of it provides insight into current issues in environmental ethics. The final section addresses a challenge to the project of EVE. (shrink)

A heuristic proof is given that the divergent QCD perturbation series is, asymptotic. By treating it as an asymptotic expansion we show that it makes sense to keep only the first few terms. The example of e+e− annihilation is considered. It is shown that by keeping only the first few terms one can get within a per cent (or smaller) of the complete sum of the series even at very low momenta where the coupling is large. More generally, this affords (...) an explanation of the phenomena of precocious scaling and why keeping only leading order corrections generally works so well. (shrink)

It is known that, on average, people adapt their choice of memory strategy to the subjective utility of interaction. What is not known is whether an individual's choices are boundedly optimal. Two experiments are reported that test the hypothesis that an individual's decisions about the distribution of remembering between internal and external resources are boundedly optimal where optimality is defined relative to experience, cognitive constraints, and reward. The theory makes predictions that are tested against data, not fitted to it. The (...) experiments use a no-choice/choice utility learning paradigm where the no-choice phase is used to elicit a profile of each participant's performance across the strategy space and the choice phase is used to test predicted choices within this space. They show that the majority of individuals select strategies that are boundedly optimal. Further, individual differences in what people choose to do are successfully predicted by the analysis. Two issues are discussed: the performance of the minority of participants who did not find boundedly optimal adaptations, and the possibility that individuals anticipate what, with practice, will become a bounded optimal strategy, rather than what is boundedly optimal during training. (shrink)

In the United States, approximately 2.53 million people sustain a concussion each year. Relative to adults, youth show greater cognitive deficits following concussion and a longer recovery. An accurate and reliable imaging method is needed to determine injury severity and symptom resolution. The primary objective of this study was to characterize concussions with diffusion tensor imaging. This was performed through a normative Z-scoring analysis of DTI metrics, fractional anisotropy, axial diffusivity, and radial diffusivity, to quantify patient-specific injuries and identify commonly (...) damaged brain regions in paediatric concussion patients relative to healthy controls. It was hypothesized that personalizing the detection analysis through normative Z-scoring would provide an understanding of trauma-induced microstructural damage. Concussion patients were volunteers recruited from the Emergency Department of the McMaster Children’s Hospital with a recent concussion, 9 males and 17 females, mean age 14.22 ± 2.64, while healthy paediatric brain DTI datasets were obtained from an MRI data repository. Significant abnormalities were commonly found in the longitudinal fasciculus, fronto-occipital fasciculus, and corticospinal tract, while unique abnormalities were localized in a number of other areas reflecting the individuality of each child’s injury. Total injury burden, determined by the number of regions containing outliers per DTI metric per patient, was used as the metric to quantify the overall injury severity of each patient. The primary outcome of this analysis found that younger patients experienced a significantly greater injury burden when measured using fractional anisotropy. These results show that DTI was able to detect microstructural changes caused by concussion, on a per-person basis, and has the potential to be a useful tool for improving diagnostic accuracy and prognosis of a concussion. (shrink)

Ethical issues surrounding the marketing and trade of controversial products such as tobacco require a better understanding. Virginia Slims, an exclusively women’s cigarette brand first launched in 1968 in the USA, was introduced during the mid 1980s to major Asian markets, such as Japan and Korea, dominated by male smokers. By reviewing internal corporate documents, made public from litigation, we examine the marketing strategies used by Philip Morris as they entered new markets such as Japan and Korea and consider the (...) extent that the company attempted to appeal to women in markets where comparatively few women were smokers. The case study of Virginia Slims reveals that the classification of “vulnerable” consumers is variable depending on culture, tobacco firms display responsive efforts and strategies when operating within a “mature” market, and cultural values played a role in informing Philip Morris’ strategic decision to embrace an adaptive marketing approach, particularly when entering the Korean market. Finally, moral questions are raised with tobacco being identified as a priority product for export and international trade agreements being used by corporations, governments, or trade partners in efforts to undermine domestic public health policies. (shrink)