The Analogy between the Infinity of the World and the Infinity of Mathematics in Relation to the Absolute

Abstract

To analyze the infinity of the world and its cardinality and to show an analogy to the mathematical concepts of infinity, first, the metaphysical models which identify the world as infinite and describe it with the transfinite of mathematics, are examined. The reasons for their identification with the transfinite are pointed out and the cardinalities of these infinities are analyzed. It is then shown that the infinities of the transfinite are not sufficient to capture the cardinality of the infinity of the world. On the basis of the history of mathematics, the structuring of the infinite in set theory, its predecessors and extensions are described in order to show the connection between the world and mathematics and the arbitrary constructability of sets and classes. In both cases, the consistent application of the fundamental ontological principle of the relationship between being and entity results in absolute infinity, which in turn gives rise to the necessary foundation of being, both for the world and for mathematics.

Keywords: absolute infinity, absolute space-time continuum, infinity of the world, infinity of mathematics, reality of mathematical objects, philosophy of mathematics