Redefining Infinity: A Process-Memory Framework for Infinite Structures

Abstract This paper proposes a process-memory framework for understanding infinite structures, aiming to reconcile classical paradoxes of infinity with a structurally coherent interpretation. By introducing a distinction between static cardinality and dynamic generative processes, the framework offers an alternative perspective on well-known paradoxes such as Galileo’s paradox and Hilbert’s Hotel. The approach does not reject classical set theory, but supplements it with a process-based layer intended to clarify intuitive and formal tensions surrounding infinite collections.