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)

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)

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.

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)

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)

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)

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)

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)

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)

This article suggests a way to circumvent some of the problems that follow from the lack of consensus on a definition of emotion (Izard, 2010; Kleinginna & Kleinginna, 1981) and emotion regulation (Cole, Martin, & Dennis, 2004) by adopting a conceptual framework based on discrete emotions theory and focusing on specific emotions. Discrete emotions theories assume that neural, affective, and cognitive processes differ across specific emotions and that each emotion has particular motivational and regulatory functions. Thus, efforts at regulation should (...) target the specific dysregulated emotions. The positive effects of emotion regulation are more likely to be optimized when they result from or lead to emotion utilization—the constructive use of the energy of emotion arousal. Effective processes for regulation differ for basic emotions and emotion schemas. This article identifies neural systems that facilitate emotion experiences and emotion regulation processes. It considers the implications of the developmental change from basic emotions to emotion schemas, and also briefly discusses the effects of interventions on changes in emotion knowledge, emotion regulation, and social and emotional competence. (shrink)

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)

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)

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)

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)

A comparison of the literatures on how infants represent generic object classes, gender and race information in faces, and emotional expressions reveals both common and distinctive developments in the three domains. In addition, the review indicates that some very basic questions remain to be answered regarding how infants represent facial displays of emotion, including (a) whether infants form category representations for discrete classes of emotion, (b) when and how such representations come to incorporate affective meaning, (c) the developmental trajectory for (...) representation of emotional expression at different levels of inclusiveness (i.e., from broad to narrow or narrow to broad?), and (d) whether there is superior discrimination ability operating within more frequently experienced emotion categories. (shrink)

Many emotion researchers would probably agree that at least some aspects of discrete emotions are evolutionarily conserved (e.g., the sensation/feeling component cannot be learned). Such agreement probably extends to the notion that aspects of emotions emerge in ontogeny as a function of developmental, learning, and cultural processes. Determining when and under what circumstances they emerge seems largely a matter for empirical research, though theories differ in their predictions and in the way they describe the relevant emotional-, cognitive-, and neuro-developmental processes.

I am very appreciative of those who wrote comments on my article. They raised some interesting and some quite challenging questions. Their responses seem quite in synchrony with my focus and intent—to reveal some problems that we need to address in advancing emotion science. The authors of the commentaries reflected some of the same sort of differences among themselves as I found among the emotion scientists whom I surveyed in search of a definition of emotion. Like the emotion scientists who (...) responded to my survey, most of the authors of the commentaries were generally in agreement on the significance of research in the emotion domain but not in agreement on the meaning of the term emotion. I briefly discuss the noteworthy question (raised in one of the commentaries) as to whether and when discrete emotion concepts might someday share the same fate as the general term emotion and disappear from emotion science. (shrink)

A substantial body of theoretical literature testifies to the evolutionary functions of emotions. Relatively little has been written about their developmental functions. This article discusses the developmental functions of emotions from the perspective of differential emotions theory (DET; Izard, 1977, 1991). According to DET, although all the emotions retain their adaptive and motivational functions across the lifespan, different sets of emotions may become relatively more prominent in the different stages of life as they serve stage-related developmental processes. In the first (...) section, we present a brief overview of relevant aspects of the theory. In the second section, we discuss how emotions play a central role in helping the individual achieve developmental milestones and tasks during four major periods of life: Infancy, toddler through preschool years, middle to late childhood, and adolescence. The underlying thesis of this article is that emotions play a central role in stimulating social cognitive attainments at each stage of development. (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)

This article investigates journalists? attitudes regarding the interface between the craft's commitment to detached observation when covering the news and the perhaps equally compelling drive to assist other human beings in need at the scene of a life?threatening newsworthy incident. Also examined is the journalistic attitude toward the propriety of incorporating relevant ?good Samaritan?; provisions in existing codes of ethics and policy statements as exceptions to the primary goal of detached observation. While journalists generally are in agreement that they have (...) a responsibility to help others in need, these same journalists are reluctant to see provisions codifying this position included in written codes of ethics. It is suggested, however, that a properly written clause outlining appropriate journalist intervention in life?saving acts would be beneficial, and a model provision is proposed. (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.

Merker makes a strong case for the upper brain stem as being the neural home of primary or phenomenal consciousness. Though less emphasized, he makes an equally strong and empirically supported argument for the critical role of the mesodiencephalon in basic emotion processes. His evidence and argument on the functions of brainstem systems in primary consciousness and basic emotion processes present a strong challenge to prevailing assumptions about the primacy of cognition in emotion-cognition-behavior relations. (Published Online May 1 2007).

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)

Carpendale & Lewis's (C&L's) interesting and insightful article did not integrate several potentially useful notions from emotion theory and research into their explanatory framework. I propose that emotions are indigenous elements of mind and that children's understanding of them is fundamental to their understanding of the mental life of self and others, understandings critical to the development of social and emotional competence.

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.

Juslin & Vll (J&V) propose a theoretical framework of how music may evoke an emotional response. This commentary presents results from a pilot study that employed young children as participants, and measured musically induced emotions through facial expressions. Preliminary findings support certain aspects of the proposed theoretical framework. The implications of these findings on future research employing the proposed framework are discussed.

Lewis makes a strong case for the interdependence and integration of emotion and cognitive processes. Yet, these processes exhibit considerable independence in early life, as well as in certain psychopathological conditions, suggesting that the capacity for their integration emerges as a function of development. In some circumstances, the concept of highly interactive emotion and cognitive systems seems a viable alternative hypothesis to the idea of systems integration.

I agree with Williams that evolutionary theory provides the best account of the pain expression. We may disagree as to whether pain has an emotional dimension or includes discrete basic emotions as integral components. I interpret basic emotion expressions that occur contemporaneously with pain expression as representing separate but highly interactive systems, each with distinct adaptive functions.

Block's target article makes a significant contribution toward sorting the neural bases of phenomenal consciousness from the neural systems that underlie cognitive access to it. However, data from developmental science suggest that cognitive access may be only one of several ways to access phenomenology. These data may also have implications for the visual-cognitive phenomena that Block uses to support his case.

Rolls presents a good integrative summary of the neural bases of emotions, adds new findings and insights, and takes a stance on controversial issues such as separate or distinct brain systems for processing emotion information and for planning and action. This commentary raises questions about his explanations of emotion activation, response to novelty, the evolution of emotions, and the phenomenal experience of emotions in human consciousness.

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.".

Vigil's socio-relational framework of sex differences in emotion-expressive behavior has a number of interesting aspects, especially the principal concepts of reciprocity potential and perceived attractiveness and trustworthiness. These are attractive and potentially heuristic ideas. However, some of his arguments and claims are not well grounded in research on early development. Three- to five-year-old children did not show the sex differences in emotion-expressive behavior discussed in the target article. Our data suggest that Vigil may have underestimated the roles of epigenetic and (...) cultural factors in shaping emotion-expressive behavior. (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.