From Euclid to Tensors

Scope of PuaKoala’s work are symbolic systems and the emergence of meaning from perception. This can be studied with topics that are beyond everyday language while dealing with seemingly simple processes like the translation and rotation of objects.

From Euclid to Descartes numbers begin to describe geometry. Scalars, vectors, matrices, tensors – linear algebra – what drives scientists like Gauss, Hamilton, Minkowski, Ricci, Lie to explore these structures. What makes it possible that abstract symbols and their arrangement provide the same meaning to different people and how did this meaning develop? There are some interesting works that might illuminate these questions:

Die Entwicklung des räumlichen Denkens beim Kinde, Jean Piaget

Die Entwicklung des Tensorkalküls: Vom absoluten Differentialkalkül zur Relativitätstheorie, Karin Reich

Die Grundlage der allgemeinen Relativitätstheorie, Albert Einstein

Space in Language and Cognition, Explorations in Cognitive Diversity, Stephen C. Levinson