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
surface form: Eleatic school of philosophy
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 Greek Antiquity
surface form: ancient Greece
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 Aristotelian physics
surface form: Aristotle's Physics

later commentaries on Zeno's paradoxes
isPartOf Paradoxes of motion
surface form: Zeno's paradoxes of motion
isRelatedTo Arrow paradox
Dichotomy paradox
Stadium (Zeno's paradox)
surface form: Stadium paradox
usesConcept infinite sequence of points
infinite series
supertask

How these facts were elicited

Referenced by (6)

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
this entity surface form: Achilles and the Tortoise
Paradoxes of motion includes Achilles and the tortoise
this entity surface form: Achilles and the tortoise paradox
Dichotomy paradox isRelatedTo Achilles and the tortoise
this entity surface form: Achilles and the tortoise paradox
Arrow paradox isRelatedTo Achilles and the tortoise
this entity surface form: Achilles and the tortoise paradox
Stadium paradox relatedTo Achilles and the tortoise
this entity surface form: Achilles and the Tortoise