Human cognition is extended and enacted. Drawing the boundaries of cognition to include the resources and attributes of the body and materiality allows an examination of how these components interact with the brain as a system, especially over cultural and evolutionary spans of time. Literacy and numeracy provide examples of multigenerational, incremental change in both psychological functioning and material forms. Though we think materiality, its central role in human cognition is often unappreciated, for reasons that include conceptual distribution over multiple (...) material forms, the unconscious transparency of cognitive activity in general, and the different temporalities of metaplastic change in neurons and cultural forms. (shrink)

Drawing on the material culture of the Ancient Near East as interpreted through Material Engagement Theory, the journey of how material number becomes a conceptual number is traced to address questions of how a particular material form might generate a concept and how concepts might ultimately encompass multiple material forms so that they include but are irreducible to all of them together. Material forms incorporated into the cognitive system affect the content and structure of concepts through their agency and affordances, (...) the capabilities and constraints they provide as the material component of the extended, enactive mind. Material forms give concepts the tangibility that enables them to be literally grasped and manipulated. As they are distributed over multiple material forms, concepts effectively become independent of any of them, yielding the abstract irreducibility that makes a concept like number what it is. Finally, social aspects of material use—collaboration, ordinariness, and time—have important effects on the generation and distribution of concepts. (shrink)

Using a model of cognition as extended and enactive, we examine the role of materiality in making minds as exemplified by lithics and writing, forms associated with conceptual thought and meta-awareness of conceptual domains. We address ways in which brain functions may change in response to interactions with material forms, the attributes of material forms that may cause such change, and the spans of time required for neurofunctional reorganization. We also offer three hypotheses for investigating co-influence and change in cognition (...) and material culture. This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No. 785793. (shrink)

This is a book about numbers– what they are as concepts and how and why they originate–as viewed through the material devices used to represent and manipulate them. Fingers, tallies, tokens, and written notations, invented in both ancestral and contemporary societies, explain what numbers are, why they are the way they are, and how we get them. Cognitive archaeologist Karenleigh A. Overmann is the first to explore how material devices contribute to numerical thinking, initially by helping us to visualize and (...) manipulate the perceptual experience of quantity that we share with other species. She explores how and why numbers are conceptualized and then elaborated, as well as the central role that material objects play in both processes. Overmann’s volume thus offers a view of numerical cognition that is based on an alternative set of assumptions about numbers, their material component, and the nature of the human mind and thinking. Karim Zahidi (“Radicalizing numerical cognition,” Synthese, 2021, p. 530) called this reconstruction, as presented in journal articles, a “naturalistically plausible account of the emergence of the modern natural number concept," while César Dos Santos ("Review of: 'The Materiality of Numbers'," Qeios, 2023, p. 1) called it "a 'Copernican Revolution' in the way we understand the relationship between numbers and the material devices we use to record and manipulate them." . (shrink)

Notations are cognitive systems involving distinctive psychological functions, behaviors, and material forms. Seen through this lens, two main types – semasiography and visible language – are fundamentally differentiated by their material prehistories, emphasis on iconography, and the centrality of language's combinatorial faculty. These fundamental differences suggest that key qualities (iconicity, expressiveness, concision) are difficult to conjoin in a single system.

Two approaches to prehistoric numeracy are analyzed and compared. The first uses traditional archaeological methods and criteria to examine and characterize marks on prehistoric artifacts for the purpose of assessing whether they were notations. The second uses a theoretical framework in which cognition is extended—meaning that material forms are a component of the mind—in order to understand the role of counting devices in numerical cognition. Each answers a different question: The traditional approach is concerned with understanding the intent and meaning (...) of artifactual marks, while the extended approach focuses on how material forms contribute to numerical realization, explication, and elaboration. Both highlight ongoing issues in investigating prehistoric numeracy, which might benefit from a combined and expanded methodology. (shrink)

I respond to P. McLaughlin and O. Schlaudt’s critique of my analysis of the cross-cultural origins of numbers, noting that my work draws extensively upon number systems as ethnographically attested around the globe, and thus is based only in part on the important Mesopotamian case study. I place the work of Peter Damerow in its historical context, noting its genesis in Piaget’s genetic epistemology and the problems associated with applying Piaget’s developmental theory to societies. While Piaget assumed numeracy involves invariant (...) mental transformations, ongoing research in numerical cognition has been largely unsuccessful in identifying specific brain-bound mechanisms for numerical structure. Accordingly, I suggest the extended mind paradigm from the philosophy of mind may be a more fruitful approach, and detail such an approach using Material Engagement Theory. (shrink)

Number systems differ cross-culturally in characteristics like how high counting extends and which number is used as a productive base. Some of this variability can be linked to the way the hand is used in counting. The linkage shows that devices like the hand used as external representations of number have the potential to influence numerical structure and organization, as well as aspects of numerical language. These matters suggest that cross-cultural variability may be, at least in part, a matter of (...) whether devices are used in counting, which ones are used, and how they are used. (shrink)

Introduction to the special issue in Pragmatics & Cognition focused on creativity, cognition, and material culture. With contributions from Maurice Bloch, Chris Gosden, Tim Ingold, John Kirsh, Carl Knappett & Sander van der Leeuw, Lambros Malafouris, Frédéric Vallée-Tourangeau, Kevin Warwick, and Tom Wynn and Frederick L. Coolidge.

The visuospatial system integrates inner and outer functional processes, organizing spatial, temporal, and social interactions between the brain, body, and environment. These processes involve sensorimotor networks like the eye–hand circuit, which is especially important to primates, given their reliance on vision and touch as primary sensory modalities and the use of the hands in social and environmental interactions. At the same time, visuospatial cognition is intimately connected with memory, self-awareness, and simulation capacity. In the present article, we review issues associated (...) with investigating visuospatial integration in extinct human groups through the use of anatomical and behavioral data gleaned from the paleontological and archaeological records. In modern humans, paleoneurological analyses have demonstrated noticeable and unique morphological changes in the parietal cortex, a region crucial to visuospatial management. Archaeological data provides information on hand–tool interaction, the spatial behavior of past populations, and their interaction with the environment. Visuospatial integration may represent a critical bridge between extended cognition, self-awareness, and social perception. As such, visuospatial functions are relevant to the hypothesis that human evolution is characterized by changes in brain–body–environment interactions and relations, which enhance integration between internal and external cognitive components through neural plasticity and the development of a specialized embodiment capacity. We therefore advocate the investigation of visuospatial functions in past populations through the paleoneurological study of anatomical elements and archaeological analysis of visuospatial behaviors. (shrink)

Four perspectives on numerical origins are examined. The nativist model sees numbers as an aspect of numerosity, the biologically endowed ability to appreciate quantity that humans share with other species. The linguistic model sees numbers as a function of language. The embodied model sees numbers as conceptual metaphors informed by physical experience and expressed in language. Finally, the extended model sees numbers as conceptual outcomes of a cognitive system that includes material forms as constitutive components. If numerical origins are to (...) be found, each perspective must address one or more critical questions that will require working across discipline boundaries. (shrink)

This paper presents writing as an extended cognitive system comprised of brain, body, and the material form that is writing. Part I introduces the theoretical framework used for the analysis, Material Engagement Theory (MET), and the initial insights into writing systems gained by applying MET to Mesopotamian artifacts for numbers and writing. Part II discusses how writing as a material form has changed over time and why this material change reflects, accumulates, and distributes change in the behaviors and brains of (...) generations of writers. Part III explains why forms of writing used today are a visible form of language in being comprised of contrastive graphic features. Part IV argues against the idea that writing should be excluded from being considered as an extended cognitive system. On the contrary, considering writing from this perspective can provide new insights into the ways we use material forms—not just in writing but more broadly—to change our behaviors and brains, and their roles in intensifying and perpetuating those changes. (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)

We review the history of decipherment on the technologies used for numbers by the Inkas – khipus and yupanas. We offer a novel interpretation of the portable “checkerboard” yupana drawn in 1615, revealing a numerical algorithm. This analysis sheds new light on the Inka number system, questioning its inclusion of a concept of zero and its interpretation as a positional system. We conclude that Inka numbers and computational methods were likely non-positional, analogous to Mesopotamian, Egyptian, Greek, and Roman numbers. We (...) show the Inka multiplication method as similar to – but more efficient than – the Egyptian method in the Rhind Papyrus. This analysis shows the Inka number system to have ranked among the great mathematical traditions of the ancient world. (shrink)

Carey leaves unaddressed an important evolutionary puzzle: In the absence of a numeral list, how could a concept of natural number ever have arisen in the first place? Here we suggest that the initial development of natural number must have bootstrapped on a material culture scaffold of some sort, and illustrate how this might have occurred using strings of beads.

This article introduces the special issue “Philosophy and Prehistory: New Perspectives on Minds, Art, and Culture.” The primary motivation for the issue was to create a space where philosophy and evolutionary cognitive archaeology could intersect. We wanted to encourage cognitive archaeologists to reflect on their field from a philosophical perspective, and philosophers to consider key methodological, theoretical, or conceptual issues in evolutionary cognitive archaeology. We thereby aimed to bridge a perceived gap between philosophical and scientific research on prehistory, and to (...) explore how these fields might complement each other. Our contributors relied on a variety of philosophical frameworks, including phenomenology, analytic philosophy, 4E cognition, and Material Engagement Theory. In this introduction, we reflect briefly on all fourteen contributions, and identify some common themes and points of complementarity. By bringing these perspectives together, we hope to inspire further philosophical inquiry into the vast expanse of human prehistory. (shrink)

The Oxford Handbook of Cognitive Archaeology showcases the theories, methods, and accomplishments of archaeologists who investigate the human mind—its evolutionary development, its ideation, and its very nature—through material forms. The intellectual heart of cognitive archaeology is archaeology, the discipline that investigates the only direct evidence of the actions and decisions of prehistoric people. Its theories and methods are an eclectic mix of psychological, neuroscientific, paleoneurological, philosophical, anthropological, ethnographic, comparative, aesthetic, and experimental theories, methods, and models, united only by their focus (...) on cognition. This volume encompasses the wide spectrum of the discipline, showcasing contributions from 66 established and emerging scholars from Europe, Africa, Asia, India, the Near East, North America, and Oceania. Significantly, the majority of chapters deliver substantive contributions that analyze specific examples of material culture, from the oldest known stone tools to ceramic and rock art traditions of the recent millennium. These examples include the gamut of methods and techniques, including typology, replication studies, chaînes operatoires, neuroarchaeology, ethnographic comparison, and the direct historical approach. The volume begins with retrospective essays by several of the pioneers of cognitive archaeology, presents a broad range of state-of-the-art investigations into cognitive abilities, tackles thorny issues like the cognitive status of Neandertals, and concludes with speculative essays about the future of an archaeology of mind, and of the mind itself. (shrink)

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)