Aristotle distinguished 'potential infinity' from 'actual infinity', and unboundedness corresponds to the former—traversability without end—while infinitude requires the latter, actual inexhaustible magnitude.

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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.
Infinitude(as used in mathematics and metaphysics): The quality or property of being infinite, without limit or end.
Traversability(as describing a path or process without end): The ability to move through or cross something from one point to another.
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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