Achilles and the Tortoise

Ιδιωτης will find the paradox of "Achilles and the Tortoise" explained by Mr. Mansel of St. John's College, Oxon, in a note to his late edition of Aldrich's *Logic* (1849, p. 125.). He there shows that the fallacy is a material one: being a false assumption of the major premise, viz., that the sum of an infinite series is itself always infinite (whereas it may be finite). Mansel refers to Plato, *Parmenid.* p. 128. [when will editors learn to specify the editions which they use?] Aristot. *Soph. Eleuctr.* 10. 2. 33. 4., and Cousin, *Nouveaux Fragments, Zénon d'Elée.*