Paradoxes of plurality

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Paradoxes of plurality are a set of arguments by Zeno of Elea that challenge the coherence of the concepts of plurality and divisibility in space and time.

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Label Occurrences
Paradoxes of plurality canonical 1

Statements (44)

Predicate Object
instanceOf Zeno's paradox
argument in metaphysics
philosophical paradox
addressesQuestion whether a finite magnitude can consist of infinitely many parts
whether plurality implies both finite and infinite number of parts
aimsToShow divisibility leads to contradiction
plurality is incoherent
associatedWith Eleatic school
Parmenides
category ancient philosophical argument
challengesConcept divisibility
plurality
space
time
concerns composition of bodies
continuity of space
continuity of time
debatedBy contemporary philosophers of logic
historians of ancient philosophy
epistemicStatus known only in fragmentary form
field ancient Greek philosophy
metaphysics
philosophy of space and time
hasInterpretation logical paradox of infinity
metaphysical critique of common-sense ontology
historicalPeriod 5th century BCE
influenced Aristotle
Plato
later discussions of infinity
philosophy of mathematics
language ancient Greek
logicalForm reductio ad absurdum
mainProponent Zeno of Elea
preservedThrough later doxographical sources
reports by Aristotle
purpose to defend Parmenides' denial of plurality and change
relatedTo Paradoxes of motion
surface form: Zeno's paradoxes of motion

paradoxes of infinity
problem of the One and the Many
supportsDoctrine Eleatic school
surface form: Eleatic monism

the One is real and plurality is illusory
usesNotion finite magnitude
infinite divisibility
infinite number of parts

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Zeno of Elea notableWork Paradoxes of plurality