Human adults are thought to possess two dissociable systems to represent numbers: an approximate quantity system akin to a mental number line, and a verbal system capable of representing numbers exactly. Here, we study the interface between these two systems using an estimation task. Observers were asked to estimate the approximate numerosity of dot arrays. We show that, in the absence of calibration, estimates are largely inaccurate: responses increase monotonically with numerosity, but underestimate the actual numerosity. However, insertion of a (...) few inducer trials, in which participants are explicitly (and sometimes misleadingly) told that a given display contains 30 dots, is sufficient to calibrate their estimates on the whole range of stimuli. Based on these empirical results, we develop a model of the mapping between the numerical symbols and the representations of numerosity on the number line. (shrink)

Humans possess two nonverbal systems capable of representing numbers, both limited in their representational power: the first one represents numbers in an approximate fashion, and the second one conveys information about small numbers only. Conception of exact large numbers has therefore been thought to arise from the manipulation of exact numerical symbols. Here, we focus on two fundamental properties of the exact numbers as prerequisites to the concept of EXACT NUMBERS : the fact that all numbers can be generated by (...) a successor function and the fact that equality between numbers can be defined in an exact fashion. We discuss some recent findings assessing how speakers of Munduruc (an Amazonian language), and young Western children (3-4 years old) understand these fundamental properties of numbers. (shrink)

Geometry defines entities that can be physically realized in space, and our knowledge of abstract geometry may therefore stem from our representations of the physical world. Here, we focus on Euclidean geometry, the geometry historically regarded as “natural”. We examine whether humans possess representations describing visual forms in the same way as Euclidean geometry – i.e., in terms of their shape and size. One hundred and twelve participants from the U.S. (age 3–34 years), and 25 participants from the Amazon (age (...) 5–67 years) were asked to locate geometric deviants in panels of 6 forms of variable orientation. Participants of all ages and from both cultures detected deviant forms defined in terms of shape or size, while only U.S. adults drew distinctions between mirror images (i.e. forms differing in “sense”). Moreover, irrelevant variations of sense did not disrupt the detection of a shape or size deviant, while irrelevant variations of shape or size did. At all ages and in both cultures, participants thus retained the same properties as Euclidean geometry in their analysis of visual forms, even in the absence of formal instruction in geometry. These findings show that representations of planar visual forms provide core intuitions on which humans’ knowledge in Euclidean geometry could possibly be grounded. (shrink)

Does geometry constitues a core set of intuitions present in all humans, regarless of their language or schooling ? We used two non verbal tests to probe the conceptual primitives of geometry in the Munduruku, an isolated Amazonian indigene group. Our results provide evidence for geometrical intuitions in the absence of schooling, experience with graphic symbols or maps, or a rich language of geometrical terms.

Geometry, etymologically the “science of measuring the Earth”, is a mathematical formalization of space. Just as formal concepts of number may be rooted in an evolutionary ancient system for perceiving numerical quantity, the fathers of geometry may have been inspired by their perception of space. Is the spatial content of formal Euclidean geometry universally present in the way humans perceive space, or is Euclidean geometry a mental construction, specific to those who have received appropriate instruction? The spatial content of the (...) formal theories of geometry may depart from spatial perception for two reasons: first, because in geometry, only some of the features of spatial figures are theoretically relevant; and second, because some geometric concepts go beyond any possible perceptual experience. Focusing in turn on these two aspects of geometry, we will present several lines of research on US adults and children from the age of three years, and participants from an Amazonian culture, the Mundurucu. Almost all the aspects of geometry tested proved to be shared between these two cultures. Nevertheless, some aspects involve a process of mental construction where explicit instruction seem to play a role in the US, but that can still take place in the absence of instruction in geometry. (shrink)

Is calculation possible without language? Or is the human ability for arithmetic dependent on the language faculty? To clarify the relation between language and arithmetic, we studied numerical cognition in speakers of Mundurukú, an Amazonian language with a very small lexicon of number words. Although the Mundurukú lack words for numbers beyond 5, they are able to compare and add large approximate numbers that are far beyond their naming range. However, they fail in exact arithmetic with numbers larger than 4 (...) or 5. Our results imply a distinction between a nonverbal system of number approximation and a language-based counting system for exact number and arithmetic. (shrink)

All humans share a universal, evolutionarily ancient approximate number system (ANS) that estimates and combines the numbers of objects in sets with ratio-limited precision. Interindividual variability in the acuity of the ANS correlates with mathematical achievement, but the causes of this correlation have never been established. We acquired psychophysical measures of ANS acuity in child and adult members of an indigene group in the Amazon, the Mundurucú, who have a very restricted numerical lexicon and highly variable access to mathematics education. (...) By comparing Mundurucú subjects with and without access to schooling, we found that education significantly enhances the acuity with which sets of concrete objects are estimated. These results indicate that culture and education have an important effect on basic number perception. We hypothesize that symbolic and nonsymbolic numerical thinking mutually enhance one another over the course of mathematics instruction. (shrink)

Des branches entières des mathématiques sont fondées sur des liens posés entre les nombres et l’espace : mesure de longueurs, définition de repères et de coordonnées, projection des nombres complexes sur le plan… Si les nombres complexes, comme l’utilisation de repères, sont apparus relativement récemment (vers le XVIIe siècle), la mesure des longueurs est en revanche un procédé très ancien, qui remonte au moins au 3e ou 4e millénaire av. J-C. Loin d’être fortuits, ces liens entre les nombres et l’espace (...) reflèteraient une intuition fondamentale, universelle, façonnée au cours des millénaires par la sélection naturelle, et qui aurait servi de guide et d’inspiration aux mathématiciens au fil des siècles. (shrink)

We agree with Nuñez that the Mundurucu do not master the formal propreties of number lines and logarithms, but as the term "intuition" implies, they spontaneously experience a logarithmic mapping of number to space as natural and "feeling right.".

Kant argued that Euclidean geometry is synthesized on the basis of an a priori intuition of space. This proposal inspired much behavioral research probing whether spatial navigation in humans and animals conforms to the predictions of Euclidean geometry. However, Euclidean geometry also includes concepts that transcend the perceptible, such as objects that are infinitely small or infinitely large, or statements of necessity and impossibility. We tested the hypothesis that certain aspects of nonperceptible Euclidian geometry map onto intuitions of space that (...) are present in all humans, even in the absence of formal mathematical education. Our tests probed intuitions of points, lines, and surfaces in participants from an indigene group in the Amazon, the Mundurucu, as well as adults and age-matched children controls from the United States and France and younger US children without education in geometry. The responses of Mundurucu adults and children converged with that of mathematically educated adults and children and revealed an intuitive understanding of essential properties of Euclidean geometry. For instance, on a surface described to them as perfectly planar, the Mundurucu's estimations of the internal angles of triangles added up to ∼180 degrees, and when asked explicitly, they stated that there exists one single parallel line to any given line through a given point. These intuitions were also partially in place in the group of younger US participants. We conclude that, during childhood, humans develop geometrical intuitions that spontaneously accord with the principles of Euclidean geometry, even in the absence of training in mathematics. (shrink)

La connaissances noyau de la géométrie euclidienne est liée au raisonnement déductif et non à la reconnaissance de motifs perceptuels.

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.

Geometrical intuitions spontaneously drive visuo-spatial reasoning in human adults, children and animals. Is their emergence intrinsically linked to visual experience, or does it reflect a core property of cognition shared across sensory modalities? To address this question, we tested the sensitivity of blind-from-birth adults to geometrical-invariants using a haptic deviant-figure detection task. Blind participants spontaneously used many geometric concepts such as parallelism, right angles and geometrical shapes to detect intruders in haptic displays, but experienced difficulties with symmetry and complex spatial (...) transformations. Across items, their performance was highly correlated with that of sighted adults performing the same task in touch (blindfolded) and in vision, as well as with the performances of uneducated preschoolers and Amazonian adults. Our results support the existence of an amodal core-system of geometry that arises independently of visual experience. However, performance at selecting geometric intruders was generally higher in the visual compared to the haptic modality, suggesting that sensory-specific spatial experience may play a role in refining the properties of this core-system of geometry. (shrink)

We argue that Cohen Kadosh & Walsh's (CK&W's) definitions of neural coding and of abstract representations are overly shallow, influenced by classical cognitive psychology views of modularity and seriality of information processing, and incompatible with the current knowledge on principles of neural coding. As they stand, the proposed dichotomies are not very useful heuristic tools to guide our research towards a better understanding of the neural computations underlying the processing of numerical quantity in the parietal cortex.

For many centuries, philosophers and scientists have pondered the origins and nature of human intuitions about the properties of points, lines, and figures on the Euclidean plane, with most hypothesizing that a system of Euclidean concepts either is innate or is assembled by general learning processes. Recent research from cognitive and developmental psychology, cognitive anthropology, animal cognition, and cognitive neuroscience suggests a different view. Knowledge of geometry may be founded on at least two distinct, evolutionarily ancient, core cognitive systems for (...) representing the shapes of large-scale, navigable surface layouts and of small-scale, movable forms and objects. Each of these systems applies to some but not all perceptible arrays and captures some but not all of the three fundamental Euclidean relationships of distance (or length), angle, and direction (or sense). Like natural number (Carey, 2009), Euclidean geometry may be constructed through the productive combination of representations from these core systems, through the use of uniquely human symbolic systems. (shrink)

The mapping of numbers onto space is fundamental to measurement and to mathematics. Is this mapping a cultural invention or a universal intuition shared by all humans regardless of culture and education? We probed number-space mappings in the Mundurucu, an Amazonian indigene group with a reduced numerical lexicon and little or no formal education. At all ages, the Mundurucu mapped symbolic and nonsymbolic numbers onto a logarithmic scale, whereas Western adults used linear mapping with small or symbolic numbers and logarithmic (...) mapping when numbers were presented nonsymbolically under conditions that discouraged counting. This indicates that the mapping of numbers onto space is a universal intuition and that this initial intuition of number is logarithmic. The concept of a linear number line appears to be a cultural invention that fails to develop in the absence of formal education. (shrink)

Leibovich et al. opened up an important discussion on the nature and origins of numerosity perception. The authors rightly point out that non-numerical features of stimuli influence this ability. Despite these biases, there is evidence that from birth, humans perceive and represent numerosities, and not just non-numerical quantitative features such as item size, density, and convex hull.

S'intéresser au concept de 'catégorie' dans la philosophie d'Aristote c'est se pencher sur l'un des objets qui a le plus suscité de commentaires depuis l'Antiquité jusqu'à la modernité récente -- de Porphyre à Derrida en passant par les stoïciens, Alexandre et les philosophes arabes. Loin d'être limitée au traité qui a porté ce titre ("Des catégories"), traité dont l'objet et le sens même font difficulté, la kategoria se situe à la croisée des divers champs de questionnements philosophiques aristotéliciens et des (...) enjeux de la physique, de la logique, de la dialectique et de la science 'première'. L'objet de ce volume est d'éclairer, à partir de quelques-unes des lectures actuelles et des grandes approches interprétatives, les difficultés majeures d'interprétation que le concept de 'catégorie' (kategoria) a posé à la tradition, ainsi que d'en renouveler la compréhension à même les textes." -- Back cover. (shrink)

This paper explores anthropomorphism in human-animal interactions from the theoretical perspectives of pragmatism and anthropology of communication. Its aim is to challenge the conception of anthropomorphism as the attribution/inference of human properties to a nonhuman animal, i.e. as a special case of the theory of mind, and to articulate and make plausible an alternative conception of anthropomorphism as a situated direct perception of human properties by someone who is engaged in a given situation, and let themselves be affected by the (...) animal. The paper offers an original perspective for in depth ethnographic and empirical studies of anthropomorphism-in-situation. Such studies could bring new insights in the study of how ordinary people make sense of animal’s behaviors in real-life situations. (shrink)

This paper aims to study the perception of color (representations, synesthesia, denominations, uses and classification) in specific writings such as recipe treatises written from 1520 to 1689. These treatises deal with the manufacture and stages of color in various objects (remedies, blushes and mainly gems). They reveals that color is not only an apparent surface but also a sensitive substance, in particular white and red colors. Although color is a principle of unity for diverse materials, it sometimes becomes contradictory when (...) it is associated with variable signified and signifiers, so that color also offers a play on naming: meaning is sometimes clear, sometimes obscure, and in any case mobile (azure, vermilion). The contemporary reader does not perceive color in the same way as the Renaissance craftsman. Finally, as a principle of classification, it shows an imbalance and hierarchy of colors which, while providing structure to recipes: it gives mainly a place of choice to red and its shades. (shrink)

This piece is a response to Jean-Pierre Reed’s review of Bringing Back the Social into the Sociology of Religion published in Critical Research on Religion. Aside from his appreciation for the contributions of this volume, Jean-Pierre Reed’s critique concentrates on three fundamental issues in relation to the agenda for a critical sociology of religion we advance: scientificism, interdisciplinarity, and politics. This response focuses on scientificism and politics in particular, since they are intimately related and at the core of this book’s (...) evaluation of the subfield. (shrink)

« L'année internationale de la famille », célébrée en 1994, fut l'occasion de toute une série de manifestations, colloques et publications. La revue Politis a consacré un numéro spécial à la famille en décembre 1994 - janvier 1995, tout comme Sciences Humaines et Chronique féministe. Bon nombre d'articles s'apparentent à des bilans de la politique familiale française à l'heure où le deuxième septennat de François Mitterrand s'achève. La gauche a-t-elle transformé les orientations princ...

This article focuses on the training/operation course offered at the Nurse and Pediatric Nurse school of Montpellier University Hospital aiming to develop a training program based on a construction of learning through professional situations. Thinking differently the training system based on alternation between course and internship and questioning the meaning of professionalization is an opportunity to be seized in the context of health formations reengineering. In that respect, offering a dialectical-learning alternation in and through a situated and problematized activity is (...) a judicious perspective for Nurses and Pediatric Nurses training in order to give meaning to work-study by giving a real ambition for professional learning. (shrink)

Based on hierarchical classification and logistic regression of early US and French COVID-19 clinical trials we show that despite the registration of a large number of trials, only a minority had characteristics usually associated with providing robust and relevant evidence.

Many psychological scientists and behavioral neuroscientists affirm that “emotion” influences thinking, decision-making, actions, social relationships, well-being, and physical and mental health. Yet there is no consensus on a definition of the word “emotion,” and the present data suggest that it cannot be defined as a unitary concept. Theorists and researchers attribute quite different yet heuristic meanings to “emotion.” They show considerable agreement about emotion activation, functions, and regulation. The central goal of this article is to alert researchers, students, and other (...) consumers of “emotion” research to the multiple meanings or aspects that distinguished scientists attribute to ”emotion,” increase appreciation of its interesting and challenging complexity, and sharpen perspectives on “emotion” and the associated body of literature that is of critical significance to science and society. (shrink)

L’article étudie comment l’humain peut être défini dans les rapports créés dans l’imaginaire entre le corps et l’alimentation. En s’appuyant sur des traités de médecine et de cuisine du Moyen Âge au xviie siècle, des essais d’humanistes et les travaux d’anthropologues, d’historiens et de sociologues contemporains, on découvre comment l’acte même de manger permet de définir et construire les frontières du corps humain et un imaginaire de l’alimentation : la nomination de l’aliment et la charge sémantique des métaphores empruntés à (...) l’alimentation définissent une éthique de l’humain et sa vision du corps humain et animal. Une approche médicale complète cette étude linguistique et montre que le fonctionnement des limites extérieures et internes du corps humain se modèle sur la représentation de l’aliment et de ses effets paradoxaux, bénéfiques et pathologiques. Enfin, le corps social du mangeur est délimité par la distance qui le sépare de l’aliment et le lieu assigné à l’animal destiné à être mangé. (shrink)

ABSTRACT In recent years, the medical establishment has been speaking in favor of women's autonomy in childbirth by advocating cesarean delivery on maternal request (CDMR). This paper offers to look at the ethical dimension of CDMR through a feminist critique of the medicalization of childbirth and its influence on present‐day medical ethics. I claim that the medicalization of childbirth reflects a sexist bias with regard to conceptions of the body and needs to be used with caution when applied to women's (...) reproductive health. I then use this perspective to critically analyze the position of the American College of Obstetricians and Gynecologists (ACOG) on the ethics of decision‐making in patient‐choice surgery. I claim that informed consent cannot be meaningfully exercised unless women are made aware of the sexist underpinnings of the medical model of childbirth and its influence on the ethical reasoning of the American College of Obstetricians and Gynecologists. I also express concern about the effects of normalizing patient‐choice cesarean sections on the choices available to pregnant women using as examples the institutional rules on mandatory cesarean sections for women with a previous cesarean delivery or breech presentation. I conclude with a call for more research into the real cost of convenience in CDMR, particularly as our increasingly strained publicly funded healthcare system would greatly benefit from the de‐medicalization of normal body functions rather than an increased dependence on costly surgical technology. (shrink)

This article clarifies my current and seemingly ever-changing position on issues relating to emotions. The position derives from my differential emotions theory and it changes with new empirical findings and with insights from my own and others’ thinking and writing. The theory distinguishes between first-order emotions and emotion schemas. For example, it proposes that first-order negative emotions are attributable mainly to infants and young children in distress and to older individuals in emergency or highly challenging situations. Emotion schemas are defined (...) as emotion feelings interacting with cognition in motivating the decision making and actions of everyday life. (shrink)

« L'année internationale de la famille », célébrée en 1994, fut l'occasion de toute une série de manifestations, colloques et publications. La revue Politis a consacré un numéro spécial à la famille en décembre 1994 - janvier 1995, tout comme Sciences Humaines et Chronique féministe. Bon nombre d'articles s'apparentent à des bilans de la politique familiale française à l'heure où le deuxième septennat de François Mitterrand s'achève. La gauche a-t-elle transformé les orientations princ...

Cette étude poursuit des recherches consacrées à une conception originale de la liberté issue pour l’essentiel des stoïciens et de Paul et qui connaît un regain d’intérêt au XVIIe siècle : la liberté comme usage du monde. Il s’agit de voir plus précisément comment Fénelon, se saisissant de la formule de Paul « user du monde comme n’en usant pas », s’efforce de l’approprier à la doctrine du pur amour. Or à l’examen d’une telle entreprise, l’on constate que sa volonté (...) d’interpréter la proposition paulinienne dans une perspective mystique menace la possibilité même d’y répondre. (shrink)

Increasing numbers of news organizations have formal codes of ethics for their personnel. This paper looks at the content of media ethics codes, how these codes are written and what comprises a news organization's fixed value system. Results show that many written policies were devised in recent years, and a noticeable number of other news organizations said they have firmly established unwritten policies. The written codes represented in this survey clearly draw lines around certain activities and label them as acceptable (...) or unacceptable for journalists. Teaching, unpaid appearances (such as on a television talk show), and participation in charitable activities are outside interests more acceptable than political activities in behalf of another person, or holding elected or appointed office. Certain activities which remain as unfinished business include: uniformity of enforcement, management ethics, financial interests, and spouse or friend conflict of interest. (shrink)