Off-campus access
Using PhilPapers from home?
Click here to configure this browser for off-campus access.
- Helen De Cruz (2006). Towards a Darwinian Approach to Mathematics. Foundations of Science 11 (1-2).In the past decades, recent paradigm shifts in ethology, psychology, and the social sciences have given rise to various new disciplines like cognitive ethology and evolutionary psychology. These disciplines use concepts and theories of evolutionary biology to understand and explain the design, function and origin of the brain. I shall argue that there are several good reasons why this approach could also apply to human mathematical abilities. I will review evidence from various disciplines (cognitive ethology, cognitive psychology, cognitive archaeology and neuropsychology) that suggests that the human capacity for mathematics is a category-specific domain of knowledge, hard-wired in the brain, which can be explained as the result of natural selection.
Similar books and articles
Typically in the philosophical literature, kinds of minds are differentiated by the range of cognitive tasks animals accomplish as opposed to the means by which they accomplish the tasks. Drawing on progress in cognitive ethology (the study of animal cognition), I argue that such an approach provides bad directions for uncovering the mark of the human mind. If the goal is to determine what makes the human mind unique, philosophers should focus on the means by which animals interact with objects in their environments, and not on the sorts of tasks they are able to accomplish.
Over the last three decades, the application of evolutionary theory to the human sciences has shown remarkable growth. This growth has also been characterised by a ‘splitting’ process, with the emergence of distinct sub-disciplines, most notably: Human Behavioural Ecology (HBE), Evolutionary Psychology (EP) and studies of Cultural Evolution (CE). Multiple applications of evolutionary ideas to the human sciences are undoubtedly a good thing, demonstrating the usefulness of this approach to human affairs. Nevertheless, this fracture has been associated with considerable tension, a lack of integration, and sometimes outright conflict between researchers. In recent years however, there have been clear signs of hope that a synthesis of the human evolutionary behavioural sciences is underway. Here, we briefly review the history of the debate, both its theoretical and practical causes; then provide evidence that the field is currently becoming more integrated, as the traditional boundaries between sub-disciplines become blurred. This article constitutes the first paper under the new editorship of the Journal of Evolutionary Psychology, which aims to further this integration by explicitly providing a forum for integrated work.
Cognitive ethology is the comparative study of animal cognition from an evolutionary perspective. As a sub-discipline of biology it shares interest in questions concerning the immediate causes and development of behavior. As a part of ethology it is also concerned with questions about the function and evolution of behavior. I examine some recent work in cognitive ethology, and I argue that the notions of mental content and representation are important to enable researchers to answer questions and state generalizations about the function and volution of behavior.
Cognitive ethology began with Donald R. Griffin's 1976 publication of The Question of Animal Awareness. More recently mutual influences can be found between cognitive ethology and comparative, developmental, experimental and cognitive psychology and philosophy of science and of mind. Present scientific work emphasizes: 1) animal cognitive capacities including discrimination, categorization, spatial knowledge, predator/prey relations such as "injury feigning" by birds, deception and attribution of intention, 2) communication, both natural systems and artificial "language" and cognition projects undertaken with apes, birds, and sea mammals and 3) the possibility of animal consciousness. For the future, one hopes for developments in those areas, more field research, conceptual and methodological bridges to other disciplines, and philosophical work on the theoretical foundations of cognitive ethology and naturalizing intentionality.
No categories
Evolutionary theories of human cognition should refer to specific times in the primate or hominid past. Though alternative accounts of tool manufacture from Wynn's are possible (e.g., frontal lobe function), Wynn demonstrates the power of archaeology to guide cognitive theories. Many cognitive abilities evolved not in the “Pleistocene hunter-gatherer” context, but earlier, in the context of other patterns of social organization and foraging.
In the years leading up to the Second World War the ethologists Konrad Lorenz and Nikolaas Tinbergen, created the tradition of rigorous, Darwinian research on animal behavior that developed into modern behavioral ecology. At first glance, research on specifically human behavior seems to exhibit greater discontinuity that research on animal behavior in general. The 'human ethology' of the 1960s appears to have been replaced in the early 1970s by a new approach called ‘sociobiology’. Sociobiology in its turn appears to have been replaced by an approach calling itself Evolutionary Psychology. Closer examination, however, reveals a great deal of continuity between these schools. At present, whilst Evolutionary Psychology is the most visible form of evolutionary psychology, empirical and theoretical research on the evolution of mind and behavior is marked by a diversity of ideas and approaches and it is far from clear which direction(s) the field will take in future.
I make two claims about cognitive archaeology. I question its role, seeing psychology as yet another contributor to the archaeological tool-kit rather than as something unique. I then suggest that cognitive archaeology is not in a position to provide evolutionary contexts without other disciplines. As a consequence it cannot deliver on the provision of evolutionary contexts for cognitive evolution.
No categories
Biological and Cultural Bases of Human Inference addresses the interface between social science and cognitive science. In this volume, Viale and colleagues explore which human social cognitive powers evolve naturally and which are influenced by culture. Updating the debate between innatism and culturalism regarding human cognitive abilities, this book represents a much-needed articulation of these diverse bases of cognition. Chapters throughout the book provide social science and philosophical reflections, in addition to the perspective of evolutionary theory and the central assumptions of cognitive science. The overall approach of the text is based on three complementary levels: adult performance, cognitive development, and cultural history and prehistory. Scholars from several disciplines contribute to this volume, including researchers in cognitive, developmental, social and evolutionary psychology, neuropsychology, cognitive anthropology, epistemology, and philosophy of mind. This contemporary, important collection appeals to researchers in the fields of cognitive, social, developmental, and evolutionary psychology and will prove valuable to researchers in the decision sciences.
Most contemporary philosophy of mathematics focuses on a small segment of mathematics, mainly the natural numbers and foundational disciplines like set theory. While there are good reasons for this approach, in this paper I will examine the philosophical problems associated with the area of mathematics known as applied mathematics. Here mathematicians pursue mathematical theories that are closely connected to the use of mathematics in the sciences and engineering. This area of mathematics seems to proceed using different methods and standards when compared to much of mathematics. I argue that applied mathematics can contribute to the philosophy of mathematics and our understanding of mathematics as a whole.
No categories
We suggest that human culture exhibits key Darwinian evolutionary properties, and argue that the structure of a science of cultural evolution should share fundamental features with the structure of the science of biological evolution. This latter claim is tested by outlining the methods and approaches employed by the principal subdisciplines of evolutionary biology and assessing whether there is an existing or potential corresponding approach to the study of cultural evolution. Existing approaches within anthropology and archaeology demonstrate a good match with the macroevolutionary methods of systematics, paleobiology, and biogeography, whereas mathematical models derived from population genetics have been successfully developed to study cultural microevolution. Much potential exists for experimental simulations and field studies of cultural microevolution, where there are opportunities to borrow further methods and hypotheses from biology. Potential also exists for the cultural equivalent of molecular genetics in “social cognitive neuroscience,” although many fundamental issues have yet to be resolved. It is argued that studying culture within a unifying evolutionary framework has the potential to integrate a number of separate disciplines within the social sciences. (Published Online November 9 2006) Key Words: cultural anthropology; cultural evolution; cultural transmission; culture; evolution; evolutionary archaeology; evolutionary biology; gene-culture coevolution; memes; social learning.
Discussion of Helen De Cruz, Towards a Darwinian approach to mathematics
|
|
There are no threads in this forum |
Nothing in this forum yet.

