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  1. Textual materiality and abstraction in mathematics.Anna Kiel Steensen, Mikkel Willum Johansen & Morten Misfeldt - 2022 - Science in Context 35 (1):81-101.
    In this paper, we wish to explore the role that textual representations play in the creation of new mathematical objects. We do so by analyzing texts by Joseph-Louis Lagrange (1736–1813) and Évariste Galois (1811–1832), which are seen as central to the historical development of the mathematical concept of groups. In our analysis, we consider how the material features of representations relate to the changes in conceptualization that we see in the texts.Against this backdrop, we discuss the idea that new mathematical (...)
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  • The Role of Culture and Evolution for Human Cognition.Andrea Bender - 2020 - Topics in Cognitive Science 12 (4):1403-1420.
    Since the emergence of our species at least, natural selection based on genetic variation has been replaced by culture as the major driving force in human evolution. It has made us what we are today, by ratcheting up cultural innovations, promoting new cognitive skills, rewiring brain networks, and even shifting gene distributions. Adopting an evolutionary perspective can therefore be highly informative for cognitive science in several ways: It encourages us to ask grand questions about the origins and ramifications of our (...)
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  • The Power of 2: How an Apparently Irregular Numeration System Facilitates Mental Arithmetic.Andrea Bender & Sieghard Beller - 2017 - Cognitive Science 41 (1):158-187.
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  • The Cognitive Advantages of Counting Specifically: A Representational Analysis of Verbal Numeration Systems in Oceanic Languages.Andrea Bender, Dirk Schlimm & Sieghard Beller - 2015 - Topics in Cognitive Science 7 (4):552-569.
    The domain of numbers provides a paradigmatic case for investigating interactions of culture, language, and cognition: Numerical competencies are considered a core domain of knowledge, and yet the development of specifically human abilities presupposes cultural and linguistic input by way of counting sequences. These sequences constitute systems with distinct structural properties, the cross-linguistic variability of which has implications for number representation and processing. Such representational effects are scrutinized for two types of verbal numeration systems—general and object-specific ones—that were in parallel (...)
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  • Nature and culture of finger counting: Diversity and representational effects of an embodied cognitive tool.Andrea Bender & Sieghard Beller - 2012 - Cognition 124 (2):156-182.
  • Current Perspectives on Cognitive Diversity.Andrea Bender & Sieghard Beller - 2016 - Frontiers in Psychology 7.