Potential infinity, as distinguished by Aristotle and formalized in constructivist mathematics, denotes an unbounded but never-completed totality, requiring no actual infinite process to be instantiated.

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Aristotle: Aristotle was an ancient Greek philosopher who lived over 2,000 years ago and is one of the most influential thinkers in Western history. He studied nearly every subject—from animals and plants to politics and ethics—and developed practical ways of thinking that shaped how people understand the world. His ideas on logic, nature, and how to live a good life are still taught and debated today because he focused on observing the real world rather than just abstract theories.
Constructivist mathematics(as a mathematical approach): A way of doing math that only accepts numbers and mathematical objects if you can actually build or construct them step-by-step, rather than just assuming they exist.
Unbounded(as used to describe the cosmos): Having no limits or boundaries; infinite or without defined edges or constraints.
actual infinity(Contrasted with 'potential infinity'; generally rejected by intuitionists): An infinity treated as a completed, existing totality rather than an ongoing process

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