Radicalizing numerical cognition

In recent decades, non-representational approaches to mental phenomena and cognition have been gaining traction in cognitive science and philosophy of mind. In these alternative approach, mental representations either lose their central status or, in its most radical form, are banned completely. While there is growing agreement that non-representational accounts may succeed in explaining some cognitive capacities (e.g. perception), there is widespread skepticism about the possibility of giving non-representational accounts of cognitive capacities such as memory, imagination or abstract thought. In this paper, I will critically examine the view that there are fundamental limitations to non-representational explanations of cognition. Rather than challenging these arguments on general grounds, I will examine a set of human cognitive capacities that are generally thought to fall outside the scope of non-representational accounts, i.e. numerical cognition. After criticizing standard representational accounts of numerical cognition for their lack of explanatory power, I will argue that a non-representational approach that is inspired by radical enactivism offers the best hope for developing a genuine naturalistic explanatory account for these cognitive capacities.

     

A socioecological perspective on primate cognition,past and present

The papers in this special issue examine the relationship between social and ecological cognition in primates. We refer to the intersection of these two domains as socioecological cognition. Examples of socioecological cognition include socially learned predator alarm calls and socially sensitive foraging decisions. In this review we consider how primate cognition may have been shaped by the interaction of social and ecological influences in their evolutionary history. The ability to remember distant, out-of-sight locations is an ancient one, shared by many mammals and widespread among primates. It seems some monkeys and apes have evolved the ability to form more complex representations of resources, integrating “what-where-how much” information. This ability allowed anthropoids to live in larger, more cohesive groups by minimizing competition for limited resources between group members. As group size increased, however, competition for resources also increased, selecting for enhanced social skills. Enhanced social skills in turn made a more sophisticated relationship to the environment possible. The interaction of social and ecological influences created a spiraling effect in the evolution of primate intelligence. In contrast, lemurs may not have evolved the ability to form complex representations which would allow them to consider the size and location of resources. This lack in lemur ecological cognition may restrict the size of frugivorous lemur social groups, thereby limiting the complexity of lemur social life. In this special issue, we have brought together two review papers, five field studies, and one laboratory study to investigate the interaction of social and ecological factors in relation to foraging. Our goal is to stimulate research that considers social and ecological factors acting together on cognitive evolution, rather than in isolation. Cross fertilization of experimental and observational studies from captivity and the field is important for increasing our understanding of this relationship. This contribution is part of the Special Issue “A Socioecological Perspective on Primate Cognition”.     

Moral cognition and moral action: A theoretical perspective

Considerable theoretical work has been done in the area of moral reasoning. However, little conceptual thinking has been done about the relations between moral cognition and moral action. As a result, empirical research in this area has been unsystematic and difficult to interpret. A theoretical model, the Self Model, is proposed here, starting from the assumption that moral reasons are functionally related to action. First, a concept of cognitive motivation is presented as necessary for any cognitive account of morality. Two cognitive approaches to moral conduct, Piaget's and Haan's, are then discussed in their positive contributions and in their limitations. The Self Model is finally described through a set of empirically testable propositions. Its major theoretical characteristics are: it is cognitive, recognizing as the central function of human cognition the appraisal of truth; it acknowledges a basic duality of motivation, but stresses the normative pull of cognitive motivation; it is developmental; it uses the self as the central explanatory concept, establishing both the sense of personal responsibility and the dynamism of self-consistency.     

Multiple spatial mappings in numerical cognition

A recent cross-cultural comparison (Shaki, Fischer, & Petrusic, 2009) suggested that spatially consistent processing habits for words and numbers are a necessary condition for the spatial representation of numbers (Spatial-Numerical Association of Response Codes; SNARC effect). Here we reexamine the SNARC in Israelis who read text from right to left but numbers from left to right. We show that, despite these spatially inconsistent processing habits, a SNARC effect still emerges when the response dimension is spatially orthogonal to the conflicting processing dimension. These results clarify the cognitive conditions for spatial-numerical mappings.     

Demystifying social cognition: a Hebbian perspective

For humans and monkeys, understanding the actions of others is central to survival. Here we review the physiological properties of three cortical areas involved in this capacity: the STS, PF and F5. Based on the anatomical connections of these areas, and the Hebbian learning rule, we propose a simple but powerful account of how the monkey brain can learn to understand the actions of others by associating them with self-produced actions, at the same time discriminating its own actions from those of others. As this system appears also to exist in man, this network model can provide a framework for understanding human social perception.     

A hierarchical view of grounded, embodied, and situated numerical cognition

There is much recent interest in the idea that we represent our knowledge together with the sensory and motor features that were activated during its acquisition. This paper reviews the evidence for such "embodiment" in the domain of numerical cognition, a traditional stronghold of abstract theories of knowledge representation. The focus is on spatial-numerical associations, such as the SNARC effect (small numbers are associated with left space, larger numbers with right space). Using empirical evidence from behavioral research, I first describe sensory and motor biases induced by SNARC, thus identifying numbers as embodied concepts. Next, I propose a hierarchical relationship between grounded, embodied, and situated aspects of number knowledge. This hierarchical conceptualization helps to understand the variety of SNARC-related findings and yields testable predictions about numerical cognition. I report several such tests, ranging from cross-cultural comparisons of horizontal and vertical SNARC effects (Shaki and Fischer in J Exp Psychol Hum Percept Perform 38(3):804-809, 2012) to motor cortical activation studies in adults with left- and right-hand counting preferences (Tschentscher et al. in NeuroImage 59:3139-3148, 2012). It is concluded that the diagnostic features for each level of the proposed hierarchical knowledge representation, together with the spatial associations of numbers, make the domain of numerical knowledge an ideal testing ground for embodied cognition research.     

Non-verbal numerical cognition: from reals to integers

Data on numerical processing by verbal (human) and non-verbal (animal and human) subjects are integrated by the hypothesis that a non-verbal counting process represents discrete (countable) quantities by means of magnitudes with scalar variability. These appear to be identical to the magnitudes that represent continuous (uncountable) quantities such as duration. The magnitudes representing countable quantity are generated by a discrete incrementing process, which defines next magnitudes and yields a discrete ordering. In the case of continuous quantities, the continuous accumulation process does not define next magnitudes, so the ordering is also continuous ('dense'). The magnitudes representing both countable and uncountable quantity are arithmetically combined in, for example, the computation of the income to be expected from a foraging patch. Thus, on the hypothesis presented here, the primitive machinery for arithmetic processing works with real numbers (magnitudes).     

Chronometric studies of numerical cognition in five-month-old infants

Developmental research suggests that some of the mechanisms that underlie numerical cognition are present and functional in human infancy. To investigate these mechanisms and their developmental course, psychologists have turned to behavioral and electrophysiological methods using briefly presented displays. These methods, however, depend on the assumption that young infants can extract numerical information rapidly. Here we test this assumption and begin to investigate the speed of numerical processing in five-month-old infants. Infants successfully discriminated between arrays of 4 vs. 8 dots on the basis of number when a new array appeared every 2 s, but not when a new array appeared every 1.0 or 1.5 s. These results suggest alternative interpretations of past findings, provide constraints on the design of future experiments, and introduce a new method for probing infants' enumeration process. Further experiments using this method provide initial evidence that infants' enumeration mechanism operates in parallel and yields increasingly accurate numerical representations over time, as does the enumeration mechanism used by adults in symbolic and non-symbolic tasks.     

具身认知视角下的消费者行为

具身理论已经成为消费者行为研究中一个重要的方向, 产生了大量的研究成果, 但国内相关研究却非常匮乏。为了推动国内研究在这一领域的发展, 从视觉、触觉、味觉和运动知觉这几个方向对相关研究进行了综述。在视觉特征方面, 主要考察了上下、左右和大小特征的作用; 在触觉方面, 主要考察了软硬、重量和温度的作用, 在味觉方面, 主要考察了甜和苦的作用; 在运动知觉方面, 主要考察了上下运动、趋近远离运动和关闭动作的作用。最后, 根据以往研究的局限, 提出了未来研究方向。     

On representational content and format in core numerical cognition

Carey has argued that there is a system of core numerical cognition – the analog magnitude (AM) system – in which (approximate) cardinal numbers are explicitly represented in iconic format. While the existence of this system is beyond doubt, this paper aims to show that its representations cannot have the combination of features attributed to them by Carey. According to the argument from abstractness, the representation of the (approximate) cardinal number of a collection of individuals as such requires the representation of individuals as such, and this in turn requires non-iconic format, from which it is concluded that the explicit representation of the (approximate) cardinal number of some individuals requires non-iconic representational format. In support of the first premise, an account is given of what approximate cardinal numbers might be (namely, quantifiers), and in support of the second, a direct argument is articulated and defended. Finally, in response to an objection, a second argument (from parts) for the central thesis is provided. While the discussion is couched in the terms of Carey’s work, the considerations it adduces are perfectly general, and the conclusion should therefore be taken into consideration by all those aiming to characterize the AM system.     

The basic cognition of jealousy: an evolutionary perspective

Penke and Asendorpf (European Journal Of Personality, vol 21, this issue) argue compellingly that research on jealousy would benefit from more direct investigation of cognitive processes, and report on research providing mixed evidence for sex differences in jealousy. We identify three limitations to the empirical approach utilised by Penke and Asendorpf, and highlight novel conceptual and methodological approaches for directly examining the basic cognitive mechanisms associated with jealousy and intrasexual rivalry. Investigating the basic cognition of intrasexual rivalry will help expand the scope of jealousy‐related research. Copyright © 2007 John Wiley & Sons, Ltd.     

Conventional minds: An interactivist perspective on social cognition and its enculturation

We argue that the traditional theory of mind models of social cognition face in-principle problems in accounting for enculturation of social cognition, and offer an alternative model advanced within the interactivist framework. In the critical section, we argue that theory of mind accounts’ encodingist model of mental representation renders them unable to account for enculturation. We focus on the three problems: (1) the copy problem and impossibility of internalization; (2) foundationalism and the impossibility of acquisition of culturally specific content; and (3) the frame problems and the inadequacy of mental-state attribution as a way of coordinating social interaction among (encultured) individuals. The positive section begins with a brief sketch of the theoretical basics of interactivism, followed by a more focused presentation of the interactivist model of social cognition, and concludes with a discussion of a number of issues most widely debated in the social cognition literature.     

An encoding-complex approach to numerical cognition in Chinese-English bilinguals.

We present a model of the cognitive architecture of basic numerical skills in adult Chinese-English bilinguals. The model is based on data reported by Campbell, Kanz, and Xue (1999) and combines Dehaene and Cohen's triple-code theory with Campbell and Clark's encoding-complex approach to modeling number processing. Participants were required to name, add or multiply Arabic or Mandarin numerals and to respond in English or Chinese. They also performed magnitude comparisons on pairs of Arabic or Mandarin numerals. The proposed model of their performance on this set of tasks assumes 1) that number processing is modular with respect to representational code (e.g., visual, visuo-spatial, verbal) rather than with respect to numerical function, 2) task-specific communication between representational codes is interactive rather than additive, and 3) memory for arithmetic facts is at least partially language-based and our Chinese-English bilinguals possessed both Chinese and English-language number-fact representations. We provide new analyses of the arithmetic data and a review of research on the role of language in simple arithmetic to substantiate our claims about linguistic codes for number-fact memory.     

团队行动中反思与团队创新关系研究的动态视角——认知与情绪的双元路径

在复杂变化的市场环境中, 在我国实施创新驱动战略的背景下, 企业的长远发展需要依赖于团队创新以建立独特竞争优势。通过对已有团队反思与创新关系研究的梳理, 发现了二者间关系的黑箱, 理论认为回顾过去能够带来新思想和新变化, 然而针对其如何实现的过程机制的实证研究却十分匮乏。基于此, 在传统的行动后反思的思想基础上, 本研究提出团队行动中反思在概念内涵和实证测量上的区别, 检验行动中反思和行动后反思在不同创新阶段的差异性作用, 动态性分析创意形成和创意实施的行为结果, 通过整合动机性信息加工理论和情绪的社会功能视角, 提出认知层面的信息处理和情感层面的团队情绪这两种机制的耦合方式, 构建团队反思影响创新的整体模型, 并深入探讨影响作用的过程机制和边界条件, 以及对各阶段关系上情境因素的调节作用进行全面的分析, 为反思与创新理论和实践做出贡献。     

The embodied nature of spatial perspective taking: Embodied transformation versus sensorimotor interference

Humans are able to mentally adopt the spatial perspective of others and understand the world from their point of view. We propose that spatial perspective taking (SPT) could have developed from the physical alignment of perspectives. This would support the notion that others have put forward claiming that SPT is an embodied cognitive process. We investigated this issue by contrasting several accounts in terms of the assumed processes and the nature of the embodiment. In a series of four experiments we found substantial evidence that the transformations during SPT comprise large parts of the body schema, which we did not observe for object rotation. We further conclude that the embodiment of SPT is best conceptualised as the self-initiated emulation of a body movement, supporting the notion of endogenous motoric embodiment. Overall our results are much more in agreement with an ‘embodied’ transformation account than with the notion of sensorimotor interference. Finally we discuss our findings in terms of SPT as a possible evolutionary stepping stone towards more complex alignments of socio-cognitive perspectives.     

具身认知视角的饮食消费行为——基于心理模拟“具身”方式

随着具身认知理论的发展, 基于心理模拟“具身”方式的饮食消费行为研究得到了一些新颖、有趣的研究结果, 为过食与肥胖、食品营销等问题的解决提供了新视角。心理模拟既能促进进食也能抑制进食; 心理模拟容易性因素与动机性因素是影响心理模拟程度的两大类主要前因变量; 未来需要进一步探索心理模拟的容易性因素与动机性因素、心理模拟提高消费欲望与产生腻厌反应的边界条件, 以及利用心理模拟探讨肥胖高危人群——高奖赏敏感性个体过食的深层次内在机制等。