Achilles and the tortoise

E264817

"Achilles and the tortoise" is a famous ancient Greek philosophical paradox illustrating Zeno of Elea’s argument that motion and overtaking are logically impossible despite everyday experience.

All labels observed (3)

How this entity was disambiguated

Statements (47)

Predicate Object
instanceOf Zeno's paradox ⓘ
philosophical paradox ⓘ
thought experiment ⓘ
concludes Achilles can never overtake the tortoise if space and time are infinitely divisible ⓘ
hasAuthor Zeno of Elea ⓘ
hasCulturalRole canonical example of a philosophical paradox ⓘ
frequently referenced in popular explanations of infinity ⓘ
used in teaching introductory philosophy and mathematics ⓘ
hasExampleOf conflict between mathematical reasoning and common sense ⓘ
hasHistoricalContext Eleatic school of philosophy ⓘ
linked to: Eleatic school
hasInfluenced discussions of infinite series in mathematics ⓘ
metaphysics of motion ⓘ
philosophy of mathematics ⓘ
philosophy of time ⓘ
hasInterpretation a challenge to naive conceptions of motion ⓘ
a demonstration of difficulties with actual infinities ⓘ
a stimulus for later developments in calculus and analysis ⓘ
hasLanguage Ancient Greek ⓘ
hasLogicalStructure argument by contradiction ⓘ
reductio ad absurdum ⓘ
hasMainCharacter Achilles ⓘ
a tortoise ⓘ
hasModernResolution concept of limits in mathematical analysis ⓘ
use of convergent infinite series in calculus ⓘ
hasOrigin ancient Greece ⓘ
linked to: Greek Antiquity
hasPurpose to defend Parmenides' doctrine that change and motion are illusory ⓘ
hasScenario Achilles gives the tortoise a head start in a race ⓘ
Achilles must first reach the point where the tortoise began ⓘ
whenever Achilles reaches a point, the tortoise has moved slightly ahead ⓘ
hasTheme continuity and infinity ⓘ
limits of human intuition about space and time ⓘ
paradox of motion ⓘ
relation between mathematics and physical reality ⓘ
illustrates Zeno's argument that motion is logically impossible ⓘ
a problem about infinite divisibility of space ⓘ
a problem about infinite divisibility of time ⓘ
arguments against the possibility of motion ⓘ
arguments against the possibility of overtaking ⓘ
isDiscussedIn Aristotle's Physics ⓘ
later commentaries on Zeno's paradoxes ⓘ
isPartOf Zeno's paradoxes of motion ⓘ
linked to: Paradoxes of motion
isRelatedTo Arrow paradox ⓘ
Dichotomy paradox ⓘ
Stadium paradox ⓘ
usesConcept infinite sequence of points ⓘ
infinite series ⓘ
supertask ⓘ

How these facts were elicited

Referenced by (8)

Full triples — surface form annotated when it differs from this entity's canonical label.

Zeno of Elea → paradox → Achilles and the tortoise ⓘ
Gödel, Escher, Bach → narrativeDevice → Achilles and the Tortoise ⓘ
linked to: Achilles and the tortoise
Paradoxes of motion → includes → Achilles and the tortoise paradox ⓘ
linked to: Achilles and the tortoise
Dichotomy paradox → isRelatedTo → Achilles and the tortoise paradox ⓘ
linked to: Achilles and the tortoise
Arrow paradox → isRelatedTo → Achilles and the tortoise paradox ⓘ
linked to: Achilles and the tortoise
Stadium paradox → relatedTo → Achilles and the Tortoise ⓘ
linked to: Achilles and the tortoise
Takeshi Kitano → notableWork → Achilles and the Tortoise ⓘ
linked to: Achilles and the tortoise
Stadium (Zeno's paradox) → relatedTo → Achilles and the Tortoise ⓘ
linked to: Achilles and the tortoise