Hochschule Augsburg

                     University of Applied Sciences



         Lehrgebiete: Mathematik, Physik

            Vorlesungen s. webuntis

            Die Geschichte des Unendlichen Dienstag 14:00 Uhr, B2.14

         History of the Infinite Wednesday, 2 pm, A3.10

         Mentorat nach Vereinbarung

            Forschungsgebiet: MatheRealismus, ArithmoGeometrie

            Lebenslauf  / Publikationsverzeichnis     


 Prof. Dr. Wolfgang Mückenheim                               


MatheRealism as a philosophical foundation of mathematics is based on the fact that mathematics is not independent of physical constraints of reality. MatheRealism denies the existence of entities which, in principle, can never be observed. MatheRealism distinguishes between numbers which can be determined exactly and ideas which can not. MatheRealism necessarily leads to the elimination of any actual infinity from mathematics.

In ArithmoGeometry digits, numbers, letters and other symbols are used to construct geometric figures in order to refute finished infinity, i.e., À0 of transfinite set theory as "a constant quantity, fixed in itself, but beyond all finite quantities" (Cantor).





Die Geschichte des Unendlichen (1.-5. u. 6.-7. Auflage)

 Die Mathematik des Unendlichen


Mathematik für die ersten Semester (1.-3. u. 4. Auflage)