{"id":"zenos-paradoxes","domain":"named-results","also_in_domain":"analysis","type":"Problem","title":"Zeno's Paradoxes","slug":"zenos-paradoxes","url":"/mathematics/named-results/zenos-paradoxes/","proposed":"c. 450 BCE, Zeno of Elea","resolved":"19th century, via rigorous theory of infinite series/limits","summary":"Ancient arguments that motion is logically impossible. Resolved by convergent infinite series (finite sum, finite time). Arrow Paradox resolved by rigorous derivative/instantaneous velocity concept.","added_to_codex":"2026-05-27","last_verified":"2026-05-27","sources":[{"tier":1,"citation":"Aristotle. Physics, Book VI (4th century BCE)."},{"tier":1,"citation":"Huggett, N. (2010, revised 2019). Zeno's Paradoxes. Stanford Encyclopedia of Philosophy."},{"tier":2,"citation":"Grünbaum, A. (1967). Modern Science and Zeno's Paradoxes. Wesleyan University Press."},{"tier":3,"citation":"Mazur, J. (2007). Zeno's Paradox. Dutton."}],"relationships":[{"type":"resolved_by","target":"series-and-convergence","label":"Series & Convergence"},{"type":"resolved_by","target":"limit","label":"Limit"},{"type":"related_to","target":"derivative","label":"Derivative — Arrow Paradox"}],"entry_status":"live","reading_levels_available":["curious","exploring","deep_dive"],"completeness":1.0,"codex_version":"1.8"}
