Dichotomy paradox
E264818
The Dichotomy paradox is one of Zeno of Elea’s famous philosophical puzzles that argues motion is impossible because any journey requires completing an infinite number of smaller steps.
All labels observed (3)
| Label | Occurrences |
|---|---|
| Dichotomy paradox canonical | 5 |
| Zeno's dichotomy | 1 |
| Zeno's paradoxes | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T2429167 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Dichotomy paradox Context triple: [Zeno of Elea, paradox, Dichotomy paradox]
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A.
Epimenides paradox
The Epimenides paradox is a classic self-referential logical puzzle arising from a Cretan philosopher’s claim that all Cretans are liars, illustrating the problem of statements that refer to their own truth or falsehood.
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B.
Barber paradox
The Barber paradox is a self-referential logical puzzle about a barber who shaves all and only those who do not shave themselves, illustrating a contradiction similar to Russell’s paradox.
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C.
Theseus's paradox (Ship of Theseus)
Theseus's paradox, or the Ship of Theseus, is a classic philosophical thought experiment that questions whether an object that has had all its components replaced remains fundamentally the same object.
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D.
Paradox
Paradox is a relational database management system and development environment originally popular on DOS and Windows, known for its ease of use and integration with Borland’s programming tools.
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E.
Curry paradox
Curry paradox is a self-referential logical paradox that arises in certain formal systems without using negation, showing how naive reasoning about implication and self-reference can lead to triviality.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Dichotomy paradox Target entity description: The Dichotomy paradox is one of Zeno of Elea’s famous philosophical puzzles that argues motion is impossible because any journey requires completing an infinite number of smaller steps.
-
A.
Epimenides paradox
The Epimenides paradox is a classic self-referential logical puzzle arising from a Cretan philosopher’s claim that all Cretans are liars, illustrating the problem of statements that refer to their own truth or falsehood.
-
B.
Barber paradox
The Barber paradox is a self-referential logical puzzle about a barber who shaves all and only those who do not shave themselves, illustrating a contradiction similar to Russell’s paradox.
-
C.
Theseus's paradox (Ship of Theseus)
Theseus's paradox, or the Ship of Theseus, is a classic philosophical thought experiment that questions whether an object that has had all its components replaced remains fundamentally the same object.
-
D.
Paradox
Paradox is a relational database management system and development environment originally popular on DOS and Windows, known for its ease of use and integration with Borland’s programming tools.
-
E.
Curry paradox
Curry paradox is a self-referential logical paradox that arises in certain formal systems without using negation, showing how naive reasoning about implication and self-reference can lead to triviality.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
Zeno's paradox
ⓘ
philosophical paradox ⓘ thought experiment ⓘ |
| assumes |
space is infinitely divisible
ⓘ
time is infinitely divisible ⓘ |
| challengesConcept | completion of an infinite number of tasks in finite time ⓘ |
| concludes | the traveler can never reach the destination in a finite time ⓘ |
| describesScenario |
a moving object must first travel half the remaining distance to its goal
ⓘ
after each step the object must travel half of the remaining distance again ⓘ |
| hasAlternativeName |
Dichotomy paradox
ⓘ
surface form:
Zeno's dichotomy
race course paradox ⓘ |
| hasAuthor | Zeno of Elea ⓘ |
| hasField |
calculus
ⓘ
mathematics ⓘ metaphysics ⓘ philosophy ⓘ philosophy of motion ⓘ philosophy of space and time ⓘ |
| hasHistoricalPeriod | 5th century BCE ⓘ |
| hasMainClaim | motion is impossible ⓘ |
| hasMainTheme |
continuum
ⓘ
convergence of series ⓘ infinite divisibility ⓘ infinity ⓘ motion ⓘ |
| hasModernInterpretation | a confusion between physical processes and mathematical idealizations ⓘ |
| hasOriginPlace |
Greek Antiquity
ⓘ
surface form:
Ancient Greece
|
| hasPhilosophicalContext | Eleatic school ⓘ |
| hasPurpose | to defend Parmenides' doctrine that change and motion are illusory ⓘ |
| hasResolutionIn |
calculus
ⓘ
real analysis ⓘ the concept of convergent infinite series ⓘ |
| implies | the traveler must complete infinitely many steps to reach the goal ⓘ |
| influenced |
debates about the nature of space and time
ⓘ
development of the concept of limit ⓘ philosophical discussions of supertasks ⓘ |
| isDiscussedIn |
introductory calculus education
ⓘ
logic and paradox literature ⓘ philosophy of mathematics ⓘ |
| isIllustratedBy | the geometric series 1/2 + 1/4 + 1/8 + ... ⓘ |
| isRelatedTo |
Achilles and the tortoise
ⓘ
surface form:
Achilles and the tortoise paradox
Arrow paradox ⓘ paradox of plurality ⓘ |
| partOf |
Dichotomy paradox
self-linksurface differs
ⓘ
surface form:
Zeno's paradoxes
|
| usesConcept |
infinite sequence of tasks
ⓘ
infinite series ⓘ infinite subdivision of distance ⓘ limit ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Dichotomy paradox Description of subject: The Dichotomy paradox is one of Zeno of Elea’s famous philosophical puzzles that argues motion is impossible because any journey requires completing an infinite number of smaller steps.
Referenced by (7)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Zeno's dichotomy
this entity surface form:
Zeno's paradoxes