What about geometry

Geometry - Perception and Concepts pp 1-5 | Cite as

  • Jost-Hinrich Eschenburg
First Online:


This introductory chapter has more of a philosophical, more precisely a metamathematic character: It does not do mathematics, but talks about mathematics. We try to work out what “the geometry” actually is, given the many “geometries” that will be discussed in our book, how we obtain geometrical knowledge and what area of ​​application they have. It is also about the second part of our title, point of view and terms. Where are they located and how do they relate to each other? In particular, we talk about the importance of axiomatics, which has been the starting point of all mathematical considerations since the beginning of the 20th century, and we explain why today we no longer see the need for our own axiomatic foundation of geometry.

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© Springer Fachmedien Wiesbaden GmbH, part of Springer Nature 2020

Authors and Affiliations

  1. 1.Institute for MathematicsUniversity AugsburgAugsburgGermany