Analysis and investigation of logical flaw of Zeno’s Achilles-Tortoise paradox

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dc.contributor.authorShega, Mayila
dc.contributor.authorMpimbo, Marco
dc.contributor.authorRugeihyamu, Sylvester
dc.contributor.editorHari M. Srivastava
dc.date.accessioned2024-08-16T09:10:38Z
dc.date.available2024-08-16T09:10:38Z
dc.date.issued2024
dc.descriptionFull text. Available at https://doi.org/10.1080/27684830.2024.2326247
dc.description.abstractIn this paper, we analyze the Achilles-Tortoise paradox, which denies the overtaking of the slowest runner (Tortoise) by the quickest runner (Achilles) because the pursuer must first reach the point whence the pursued started, so the slower must always hold the lead. The paradox translates into a requirement for the quicker to complete one by one an infinite sequence of distinct runs in a finite time to overtake the slower. This feat is impossible because the infinite sequence of distances contains no final distance to run, and the time to complete such a feat is not enough. However, we know better that in a race, the quickest always overtakes the slowest. Then why does the argument say otherwise? There should be logical flaws in its argumentation. Therefore, after an analysis of the paradox, we investigate the existence of such a flaw that exists in the argument itself or in the inferences its premises make. In addition to this, we present the new mathematical solution based on open balls in real Euclidean space, which shows that only a finite number of runs are needed by the quickest to overtake the slowest.
dc.identifier.citationMayila, S., Mpimbo, M., & Rugeihyamu, S. (2024). Analysis and investigation of logical flaw of Zeno’s Achilles-Tortoise paradox. Research in Mathematics, 11(1), 2326247.
dc.identifier.doi10.1080/27684830.2024.2326247
dc.identifier.otherDOI; 10.1080/27684830.2024.2326247
dc.identifier.urihttps://repository.udom.ac.tz/handle/20.500.12661/4585
dc.language.isoen
dc.publisherInforma UK Limited
dc.relation.ispartofResearch in Mathematics
dc.subjectAchilles-tortoise paradox
dc.subjectinfinite sequence of numbers
dc.subjectinfinite sequence of tasks
dc.subjectlogical flaw
dc.subjectanalysis
dc.titleAnalysis and investigation of logical flaw of Zeno’s Achilles-Tortoise paradox
dc.typeArticle
oaire.citation.issue1
oaire.citation.volume11
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