Vukoman Milenkovic

This thesis explores Leibniz’s views on infinity and their potential evolution through engagement with some later philosophies. I investigate his rejection of infinite numbers due to challenges like “Galileo’s paradox” and question how his ontology (in particular, his view of infinite aggregates) might change if he were to embrace the concept of an infinite number (like the one developed in Cantorian mathematics). Besides that, the study will analyze Leibniz’s approach to the non-quantitative notions of infinity, such as those developed by Descartes or Spinoza in relation to God as an “infinite being.” It also examines potential revisions to Leibniz’s concept of God under Cantorian influence. Utilizing analytical and historical methods, this research delves into ways Leibniz’s theory of the infinite could have developed, aiming to contribute insights to the ongoing discourse on his philosophy. Moreover, it seeks to bridge disciplinary boundaries between philosophy, theology, and mathematics, offering an interdisciplinary perspective that can enhance educational practices. This interdisciplinary approach is particularly relevant in contexts like Serbia, encouraging a more integrated understanding of diverse fields of knowledge.