POTENTIAL AND ACTUAL INFINITY: PHILOSOPHICAL CATEGORIES AND THEIR ROLE IN DEVELOPMENTAL PROCESSES

Abstract

The concepts of potential and actual infinity have occupied a central place in philosophical discourse since antiquity. These categories, while originating in metaphysical inquiry, have influenced mathematics, science, and theories of development. Potential infinity refers to an unending process or sequence that can always be extended, whereas actual infinity denotes a completed totality of infinite magnitude. This paper explores the historical evolution of these concepts, their philosophical underpinnings, and their role in understanding developmental and progressive processes in logic, mathematics, and natural phenomena. By analyzing classical and modern perspectives, we argue that recognizing the interplay between potential and actual infinity provides critical insights into human cognition, scientific reasoning, and theoretical frameworks of continuous growth.