Abstract (eng)
There is not just one definition of infinity and it is therefore not limited to just one scientific field. In order to be able to capture this indescribable magnitude to some extent, this thesis begins with the fundamental idea of mathematics – the counting and measuring of finite sets – and continues with the philosophy of mathematics and set theory. The latter ranges from the axioms (the mathematical origin) to the understanding of infinity by Georg Cantor, culminating in the concept of a multitude (the completion of set theory) and the reflection principle of the multitude as the class of all classes in its theological component. Building on that, the thesis follows the theological and historically metaphysical aspect concerning the question and proofs of the existence of an eternal God. Finally, the topic concludes in the context of education, specifically the interdisciplinary approach using the philosophical teaching method in the subjects of mathematics and Catholic religion. Regarding the introduction of new curricula in the coming years, the aim is to demonstrate the new concept of interdisciplinary methodology. The recently incorporated method of philosophizing in mathematics education textbooks represents an unconventional possibility for a new expanded horizon in the subject, following this planned educational model. Based on scientific findings on the concept of infinity, exemplary teaching materials in the form of information and activity sheets are presented. These materials provide thematic, cross-curricular connections and additional elements related to the question of infinity and the aspect of truth – in relation to proof – which are aligned with the curriculum of Austrian commercial academies.