Science and Faith: God and Infinity – Considerations by a Mathematician

Abstract:

Elementary examples show that mathematical infinity is actually present in the applications of mathematics to reality. This leads to remarks on Cantor’s definitive introduction of actual infinity in mathematics, through his theory of sets, which is part of the current formalization of mathematics. However, mathematics goes beyond its formalization in a somewhat “mysterious” way. The equally “mysterious” effectiveness of mathematics in the universe ultimately suggests a dynamic understanding of creation, an open-ended process where infinite and finite are intertwined.

Key words:

Mathematical infinity, formalization of mathematics, effectiveness of mathematical models, divine creation.