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- Bernd Buldt, Dirk Schlimm
- 2010

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… (More)

- Dirk Schlimm, Katherine Skosnik
- 2010

Zero plays a number of different roles in our decimal place-value system. To allow for a nuanced discussion of the importance of zero, these roles should be distinguished carefully. We present such a differentiation of symbolic roles of zero and illustrate them by looking at the use of symbols for zero in ancient Mesopotamia. Old and Late Babylonian… (More)

- Katja Lengnink, Dirk Schlimm
- 2010

- Dirk Schlimm, Erica Lucast, Uljana Feest, Susanne Prediger, Jeff Speaks, Michael Hallett
- 2006

This paper is a contribution to the question of how aspects of science have been perceived through history. In particular, I will discuss how the contribution of axiomatics to the development of science and mathematics was viewed in 20th century philosophy of science and philosophy of mathematics. It will turn out that in connection with scientific… (More)

This article looks at recent work in cognitive science on mathematical cognition from the perspective of history and philosophy of mathematical practice. The discussion is focused on the work of Lakoff and Núñez, because this is the first comprehensive account of mathematical cognition that also addresses advanced mathematics and its history. Building on a… (More)

- Andrew Arana, Paolo Mancosu, Fabio Acerbi, Kirsti Andersen, David Auckly, John Baldwin +29 others
- 2012

Traditional geometry concerns itself with planimetric and stereometric considerations, which are at the root of the division between plane and solid geometry. To raise the issue of the relation between these two areas brings with it a host of different problems that pertain to mathematical practice, epistemology, semantics, ontology, methodology, and logic.… (More)

- Dirk Schlimm
- 2011

In this paper I investigate two notions of concepts that have played a dominant role in 20th century philosophy of mathematics. According to the first, concepts are definite and fixed; in contrast, according to the second notion concepts are open and subject to modifications. The motivations behind these two incompatible notions and how they can be used to… (More)