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)

In this paper, we examine the role of materiality in human cognition. We address issues such as the ways in which brain functions may change in response to interactions with material forms, the attributes of material forms that may cause change in brain functions, and the spans of time required for brain functions to reorganize when interacting with material forms. We then contrast thinking through materiality with thinking about it. We discuss these in terms of their evolutionary significance and history (...) as attested by stone tools and writing, material forms whose interaction endowed our lineage with conceptual thought and meta-awareness of conceptual domains. (shrink)

Previous discussions of the origins of writing in the Ancient Near East have not incorporated the neuroscience of literacy, which suggests that when southern Mesopotamians wrote marks on clay in the late-fourth millennium, they inadvertently reorganized their neural activity, a factor in manipulating the writing system to reflect language, yielding literacy through a combination of neurofunctional change and increased script fidelity to language. Such a development appears to take place only with a sufficient demand for writing and reading, such as (...) that posed by a state-level bureaucracy; the use of a material with suitable characteristics; and the production of marks that are conventionalized, handwritten, simple, and non-numerical. From the perspective of Material Engagement Theory, writing and reading represent the interactivity of bodies, materiality, and brains: movements of hands, arms, and eyes; clay and the implements used to mark it and form characters; and vision, motor planning, object recognition, and language. Literacy is a cognitive change that emerges from and depends upon the nexus of interactivity of the components. (shrink)

Numbers are concepts whose content, structure, and organization are influenced by the material forms used to represent and manipulate them. Indeed, as argued here, it is the inclusion of multiple forms (distributed objects, fingers, single- and two-dimensional forms like pebbles and abaci, and written notations) that is the mechanism of numerical elaboration. Further, variety in employed forms explains at least part of the synchronic and diachronic variability that exists between and within cultural number systems. Material forms also impart characteristics like (...) linearity that may persist in the form of knowledge and behaviors, ultimately yielding numerical concepts that are irreducible to and functionally independent of any particular form. Material devices used to represent and manipulate numbers also interact with language in ways that reinforce or contrast different aspects of numerical cognition. Not only does this interaction potentially explain some of the unique aspects of numerical language, it suggests that the two are complementary but ultimately distinct means of accessing numerical intuitions and insights. The potential inclusion of materiality in contemporary research in numerical cognition is advocated, both for its explanatory power, as well as its influence on psychological, behavioral, and linguistic aspects of numerical cognition. (shrink)

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)

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.

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)

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.

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)

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)

The characterization of early token-based accounting using a concrete concept of number, later numerical notations an abstract one, has become well entrenched in the literature. After reviewing its history and assumptions, this article challenges the abstract–concrete distinction, presenting an alternative view of change in Ancient Near Eastern number concepts, wherein numbers are abstract from their inception and materially bound when most elaborated. The alternative draws on the chronological sequence of material counting technologies used in the Ancient Near East—fingers, tallies, tokens, (...) and numerical notations—as reconstructed through archaeological and textual evidence and as interpreted through Material Engagement Theory, an extended-mind framework in which materiality plays an active role (Malafouris 2013). (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)

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.

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)

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)

Examines how violence has been conceptually and rhetorically put to use in continental social theory.

_Examines how violence has been conceptually and rhetorically put to use in continental social theory._.

There are countless circumstances under which random individuals COULD act together to prevent something morally bad from happening or to remedy a morally bad situation. But when OUGHT individuals to act together in order to bring about a morally important outcome? Building on Philip Pettit’s and David Schweikard’s account of joint action, I will put forward the notion of joint duties: duties to perform an action together that individuals in so-called random or unstructured groups can jointly hold. I will show (...) how this account of joint duties is preferable to one which defends individual duties to cooperate. I then discuss the limits of joint duties and the ways in which one can fail to comply with them. It will become apparent that the circumstances under which individuals in random collectives acquire such joint duties are rare. (shrink)

Why equality cannot be conditional on a shared human “nature” but has to be for all For centuries, ringing declarations about all men being created equal appealed to a shared human nature as the reason to consider ourselves equals. But appeals to natural equality invited gradations of natural difference, and the ambiguity at the heart of “nature” enabled generations to write of people as equal by nature while barely noticing the exclusion of those marked as inferior by their gender, race, (...) or class. Despite what we commonly tell ourselves, these exclusions and gradations continue today. In Unconditional Equals, political philosopher Anne Phillips challenges attempts to justify equality by reference to a shared human nature, arguing that justification turns into conditions and ends up as exclusion. Rejecting the logic of justification, she calls instead for a genuinely unconditional equality. Drawing on political, feminist, and postcolonial theory, Unconditional Equals argues that we should understand equality not as something grounded in shared characteristics but as something people enact when they refuse to be considered inferiors. At a time when the supposedly shared belief in human equality is so patently not shared, the book makes a powerful case for seeing equality as a commitment we make to ourselves and others, and a claim we make on others when they deny us our status as equals. (shrink)

Analytic metaphysics has recently discovered biology as a means of grounding metaphysical theories. This has resulted in long-standing metaphysical puzzles, such as the problems of personal identity and material constitution, being increasingly addressed by appeal to a biological understanding of identity. This development within metaphysics is in significant tension with the growing tendency amongst philosophers of biology to regard biological identity as a deep puzzle in its own right, especially following recent advances in our understanding of symbiosis, the evolution of (...) multi-cellular organisms and the inherently dynamical character of living systems. Moreover, and building on these biological insights, the broadly substance ontological framework of metaphysical theories of biological identity appears problematic to a growing number of philosophers of biology who invoke process ontology instead. This volume addresses this tension, exploring to what extent it can be dissolved. For this purpose, the volume presents the first selection of essays exclusively focused on biological identity and written by experts in metaphysics, the philosophy of biology and biology. The resulting cross-disciplinary dialogue paves the way for a convincing account of biological identity that is both metaphysically constructive and scientifically informed, and will be of interest to metaphysicians, philosophers of biology and theoretical biologists. (shrink)

"Deleuze plonge la critique kantienne transcendantale dans le bain dissolvant d'un empirisme renouvelé. Ce livre se propose de restituer cette entreprise, et d'analyser l'étonnante création de ce concept, que Deleuze mène depuis ses premières monographies jusqu'à Différence et Répétition dans un dialogue fécond avec l'histoire de la philosophie. Par quelles opérations de distorsion et de collage, Deleuze compose-t-il l'empirisme de Hume, la théorie du signe comme force de Nietzsche, le virtuel et les multiplicités de Bergson, les modes de Spinoza, les (...) individualisations impersonnelles de Simondon pour renouveler la théorie kantienne du transcendantal? C'est tout l'objet de cette enquête, qui permet d'entrer dans le laboratoire du penseur, pour saisir la philosophie se faisant, mais qui permet également d'expliquer l'insistance du transcendantal dans toute son oeuvre"--P. [4] of cover. (shrink)

The standard view of ignorance is that it consists in the mere lack of knowledge or true belief. Duncan Pritchard has recently argued, against the standard view, that ignorance is the lack of knowledge/true belief that is due to an improper inquiry. I shall call, Pritchard’s alternative account the Normative Account. The purpose of this article is to strengthen the Normative Account by providing an independent vargument supporting it.

It is commonly accepted – not only in the philosophical literature but also in daily life – that ignorance is a failure of some sort. As a result, a desideratum of any ontological account of ignorance is that it must be able to explain why there is something wrong with being ignorant of a true proposition. This article shows two things. First, two influential accounts of ignorance – the Knowledge Account and the True Belief Account – do not satisfy this (...) requirement. They fail to provide a satisfying normative account of the badness of ignorance. Second, this article suggests an alternative explanation of what makes ignorance a bad cognitive state. In a nutshell, ignorance is bad because it is the manifestation of a vice, namely, of what Cassam calls “epistemic insouciance”. (shrink)

Prison work creates ethical challenges for which a training program was initiated for Dutch prison staff to foster their Moral Craftsmanship (MCS). The concept of MCS is not yet defined and operationalized in literature. This explorative study aims to 1) define MCS, 2) identify conceptual elements of MCS, and 3) develop a measurement tool for MCS. A document and literature study provided input for the definition and selection of conceptual elements related within DCIA policy documents, identifying three conceptual levels of (...) MCS: individual (cognition, attitude, and actions), team, and leadership. This first MCSQ consists of seventy-one items distributed across the domains: values and norms, judgment and reasoning, consultation, implementation, looking back, interactions, and leadership. We tested its usability via ‘think-aloud interviews.’ Validation of the current version of the MCS-Questionnaire and consensus among experts about what to include or exclude in the concept of MCS are needed for further development. (shrink)

Our moral obligations can sometimes be collective in nature: They can jointly attach to two or more agents in that neither agent has that obligation on their own, but they – in some sense – share it or have it in common. In order for two or more agents to jointly hold an obligation to address some joint necessity problem they must have joint ability to address that problem. Joint ability is highly context-dependent and particularly sensitive to shared (or even (...) common) beliefs. As such, joint ability can be deliberately generated in a given collection of agents by providing information related to collective goals and contributory actions. As moral agents, we regularly face problems wherein the outcome of our actions depends on how others choose. There are two ways of deliberating about our own choices in such cases. We can either think of our choices as best responses to others’ choices (I-mode reasoning). Or we can think of our own choices as contributions to the collectively best option (even when we do not know how others are (likely) to choose) (we-mode reasoning). In deliberating about the right (individual) course of action vis-à-vis collective action problems, agents regularly we-frame the case at hand, that is, they include options in their deliberation that are only collectively available, and they we-reason with regard to their individual contributory actions. It is a necessary condition for collective obligations that potential collaborators facing a joint necessity case have grounds to privilege we-reasoning over reasoning in I-mode. (shrink)

The most remarkable about the continuity in Chomsky's thought about language is that it takes place against a theoretical landscape in constant flux, the landscape of generative grammar. Chomsky introduced a central distinction between E‐languages and I‐language, the internalized knowledge of language that each speaker has and which is the result of the interaction between his or her language faculty and the (limited) experience that he or she had of his or her mother tongue during language acquisition. The Faculty of (...) Language narrowly understood corresponds to “the abstract linguistic computational system alone, independent of the other systems with which it interacts”. This chapter aims to follow the trail of Chomsky's strongly reiterated claim throughout the years that language is not primarily a tool for communication, but rather, a tool for thought. (shrink)

The traditional concept of prime matter – a purely potential substratum that persists through substantial change and serves to constitute the generated substance – has played a dwindling part in Aristotelian scholarship over the centuries. In medieval interpretations of Aristotle, prime matter was thought to play these two roles in all substantial changes, not only in changes at the level of the four elements. In more recent centuries, traditional prime matter was relegated only to the context of substantial changes between (...) the four elements. And in the last few decades of Aristotelian scholarship, it has become common either to downplay or even to eliminate prime matter’s role in elemental changes too. I will support the traditional concept of prime matter by showing that it aligns Aristotle’s view of elemental change with one of the central constraints on matter imposed in his Physics to a degree that cannot be achieved on the non-traditional interpretations: the need for matter to be in potentiality in a way that avoids the two problematic extremes of mere persistence, on the one hand, and destruction, on the other. This point will be supported by Aristotle’s rejection of both monism and pluralism in On Generation and Corruption. Second, I will argue that Aristotle calls for precisely the same kind of potentiality in a very different context: his critique of Anaxagoras’s view of matter in the Generation of Animals. Here the very same problematic extremes of mere persistence and destruction that plague the alternate views to traditional prime matter also plague the dominant views on the matter for animal generation. Especially since Aristotle takes living things to be paradigmatic substances, these comparisons suggest that the apparent idiosyncrasies of elemental transformation which have motivated interpreters to depart from traditional prime matter may not be so idiosyncratic after all. And if that is so, it may be that the problem lies not so much with traditional prime matter as with our assumptions about how persistence and constitution work in substantial change according to Aristotle. In the end, this line of argument opens the door to three new potential interpretations of the matter for substantial generation in Aristotle, interpretations which align with his concept of potentiality and – to varying degrees – with traditional prime matter as well. (shrink)

Human persons exist longer than a single moment in time; they persist through time. However, so far it has not been possible to make this natural and widespread assumption metaphysically comprehensible. The philosophical debate on personal identity is rather stuck in a dilemma: reductionist theories explain personal identity away, while non-reductionist theories fail to give any informative account at all. This chapter argues that this dilemma emerges from an underlying commitment, shared by both sides of in the debate, to an (...) ontology which that gives the priority to static unchanging things. The claim defended here is that the dilemma of personal identity can be overcome if we acknowledge the biological nature of human persons and switch to a process- ontological framework that takes process and change to be ontologically primary. Human persons are biological higher-order processes, rather than things, and their identity conditions can be scientifically investigated. (shrink)

School-based education in England has undergone significant changes since 2010, with a huge expansion of academies, schools outside local authority control, funded directly by central government. Academies and local authority (LA) maintained schools are subject to different legislative and regulatory frameworks. This paper focuses on the governance of LA maintained schools, single academy trusts (SATs) and schools that are part of multi-academy trusts (MATs). The research involved analysing legislative provision, policy documents, and documents addressing the governance arrangements of a sample (...) of 23 secondary schools. Our findings reveal a fragmented state-funded secondary school system as regards overall governance, school admissions, the curriculum, and the use of funding. Significantly schools in MATs, which are governed by the trust board, lack the autonomy of either SATs or maintained schools and are instead under the ultimate control of the trust board. The paper argues that there is a need for greater consistency regarding the governance of state-funded schools. (shrink)

A reference volume and playful devotional object based on the author's research into color theory informed by psychology, mysticism, and early modernism. The Color-Word Value Index has 44 word pairings; 10 colors; 5 suits; and values of positive, negative, and neutral"--Women's Studio Workshop website, viewed December 14, 2021.

The effects of non-standard Philosophy on Epistemelogy.

This book explores the way in which, working within the investigative tradition associated with the Royal Society, the philosopher John Locke (1632-1704) used ...

Abstract This article raises a worry concerning Ernest Sosa's way of solving the problem of epistemic circularity. Sosa's solution to the problem of epistemic circularity relies on the following claim of sufficiency: for S to deserve to be credited for his true belief, it is sufficient that his belief is, in a sense to be made clear, ?apt?. I argue that this solution undersells the notion of credit. I present three kinds of cases in which the attribution of credit to (...) a believer requires more than the possession of apt beliefs and I defend these cases against possible misinterpretations. (shrink)

Think Like an Economist is a fun introduction to the main concepts of economics. It illustrates how the subject has a clear, practical purpose vital to our daily lives and thinking; includes stories of many of the world's greatest economists; and covers the history of economics from the early barter system through the Industrial Revolution to the emergence of globalization.

Analytic metaphysics has recently discovered biology as a means of grounding metaphysical theories. This has resulted in long-standing metaphysical puzzles, such as the problems of personal identity and material constitution, being increasingly addressed by appeal to a biological understanding of identity. This development within metaphysics is in significant tension with the growing tendency amongst philosophers of biology to regard biological identity as a deep puzzle in its own right, especially following recent advances in our understanding of symbiosis, the evolution of (...) multi-cellular organisms and the inherently dynamical character of living systems. Moreover, and building on these biological insights, the broadly substance ontological framework of metaphysical theories of biological identity appears problematic to a growing number of philosophers of biology who invoke process ontology instead. This volume addresses this tension, exploring to what extent it can be dissolved. For this purpose, the volume presents the first selection of essays exclusively focused on biological identity and written by experts in metaphysics, the philosophy of biology and biology. The resulting cross-disciplinary dialogue paves the way for a convincing account of biological identity that is both metaphysically constructive and scientifically informed, and will be of interest to metaphysicians, philosophers of biology and theoretical biologists. (shrink)

This book explores the future of doctoral research and what it means to be involved in all stages of the process, providing international insights into what's changing, why it's changing and how to work best with these changes. It looks at the key issues that have been thrown into sharp relief by crises such as world pandemics. Drawing on work from outstanding authors, this book shows the ways in which the doctoral process has altered the supervisor/supervisee model, the challenges that (...) now need to be managed and demonstrates the importance of aligning all the stakeholders, systems and processes to ensure a successful future for doctoral education. Bringing together a range of perspectives, innovative practices and rigorous research this book tackles topics such as: how doctoral research changes in keeping with the global expansion and transformation of doctoral education programs the significant influence funding bodies - be they charities, governments, businesses, or non-governmental agencies - can have on doctoral research the extent to which doctoral research penetrates daily life and vice versa, and how to encourage and embed an ethical approach to research, as well as university responses to external challenges Uniquely international and bringing together the many stakeholders in the research business, this book is essential reading for all doctoral supervisors, candidates, and anyone involved in designing or organising research programmes for early career researchers and doctoral students. (shrink)