Arrow paradox
E264819
The Arrow paradox is an ancient philosophical argument that challenges the coherence of motion by claiming that a flying arrow must be motionless at every instant of its flight.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Arrow paradox canonical | 5 |
How this entity was disambiguated
This entity first appeared as the object of triple T2429168 — 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.
Target entity: Arrow paradox Context triple: [Zeno of Elea, paradox, Arrow paradox]
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A.
Arrow’s impossibility theorem
Arrow’s impossibility theorem is a foundational result in social choice theory showing that no voting system can convert individual preferences into a collective ranking while simultaneously satisfying a set of seemingly reasonable fairness criteria.
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B.
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.
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C.
Yablo's paradox
Yablo's paradox is a self-referential logical paradox involving an infinite sequence of sentences, each saying that all later sentences in the sequence are false, which challenges traditional notions of semantic paradox and self-reference.
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D.
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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E.
Russell’s paradox
Russell’s paradox is a foundational logical contradiction in naive set theory that reveals problems with sets that contain themselves, leading to major developments in modern logic and the axiomatization of set theory.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Arrow paradox Target entity description: The Arrow paradox is an ancient philosophical argument that challenges the coherence of motion by claiming that a flying arrow must be motionless at every instant of its flight.
-
A.
Arrow’s impossibility theorem
Arrow’s impossibility theorem is a foundational result in social choice theory showing that no voting system can convert individual preferences into a collective ranking while simultaneously satisfying a set of seemingly reasonable fairness criteria.
-
B.
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.
-
C.
Yablo's paradox
Yablo's paradox is a self-referential logical paradox involving an infinite sequence of sentences, each saying that all later sentences in the sequence are false, which challenges traditional notions of semantic paradox and self-reference.
-
D.
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.
-
E.
Russell’s paradox
Russell’s paradox is a foundational logical contradiction in naive set theory that reveals problems with sets that contain themselves, leading to major developments in modern logic and the axiomatization of set theory.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
Zeno's paradox
ⓘ
ancient Greek philosophical argument ⓘ philosophical paradox ⓘ |
| aimsToShow | the concept of motion is incoherent ⓘ |
| aimsToSupport | Parmenides' denial of change and motion ⓘ |
| concludes | the arrow is always at rest ⓘ |
| hasAuthor | Zeno of Elea ⓘ |
| hasCategory |
ancient Greek logic
ⓘ
metaphysical paradox ⓘ philosophy of mathematics ⓘ |
| hasCounterArgument | motion is defined over intervals, not instants ⓘ |
| hasCounterArgumentBy | Aristotle ⓘ |
| hasHistoricalPeriod | 5th century BCE ⓘ |
| hasInfluenced |
analytic philosophy of motion
ⓘ
debates about the structure of time ⓘ discussions of supertasks ⓘ |
| hasInterpretation |
argument against atomistic conceptions of time
ⓘ
challenge to the notion of time as a series of static instants ⓘ |
| hasMainClaim |
a flying arrow is motionless at every instant of its flight
ⓘ
if time is composed of instants, motion is impossible ⓘ |
| hasMainTheme |
change
ⓘ
continuity ⓘ infinity ⓘ instantaneous state ⓘ motion ⓘ time ⓘ |
| hasModernResponse |
calculus-based account of instantaneous velocity
ⓘ
continuous models of time and motion ⓘ four-dimensional spacetime interpretations ⓘ real analysis treatment of limits ⓘ |
| hasOriginalLanguage | Ancient Greek ⓘ |
| hasPhilosophicalTradition | Eleatic school ⓘ |
| hasPurpose |
to defend Eleatic monism
ⓘ
to refute common-sense belief in motion ⓘ |
| isDiscussedIn |
Aristotelian physics
ⓘ
surface form:
Aristotle's Physics
|
| isPartOf |
Paradoxes of motion
ⓘ
surface form:
Zeno's arguments against motion
|
| isRelatedTo |
Achilles and the tortoise
ⓘ
surface form:
Achilles and the tortoise paradox
Dichotomy paradox ⓘ Stadium paradox ⓘ Paradoxes of motion ⓘ
surface form:
Zeno's paradoxes of motion
calculus ⓘ instantaneous velocity ⓘ measure theory ⓘ philosophy of physics ⓘ philosophy of time ⓘ |
| usesAssumption |
at any instant an object occupies a space equal to itself
ⓘ
if an object is at rest in an instant, it is at rest during that instant ⓘ time is composed of discrete instants ⓘ |
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.
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.
Subject: Arrow paradox Description of subject: The Arrow paradox is an ancient philosophical argument that challenges the coherence of motion by claiming that a flying arrow must be motionless at every instant of its flight.
Referenced by (5)
Full triples — surface form annotated when it differs from this entity's canonical label.