Are the basic axioms in mathematics empirical

Philosophy of Science of Mathematics

Theory of Science pp 189-208 | Cite as

  • Stephan Kornmesser
  • Wilhelm Buettemeyer
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Summary

Mathematics has been a subject of epistemological reflections since ancient times. The indistinguishable status of their objects of investigation, the exemplary precision of their conceptualization and argumentation, the unequivocal validity of their theorems and their remarkable arrangement in axiom systems as well as the versatile applicability of their quite abstract results required an explanation. At the same time, the positive assessment just described resulted in a yardstick against which mathematical theories had to be measured from an epistemological point of view.

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Copyright information

© Springer-Verlag GmbH Germany, a part of Springer Nature 2020

Authors and Affiliations

  1. 1. Institute for PhilosophyCarl von Ossietzky UniversityOldenburgGermany