Ontological Reduction and the World of Numbers
E319088
"Ontological Reduction and the World of Numbers" is a philosophical essay by W.V.O. Quine that examines how mathematical entities, particularly numbers, can be understood and justified within a naturalistic and ontologically parsimonious framework.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Ontological Reduction and the World of Numbers canonical | 1 |
Statements (38)
| Predicate | Object |
|---|---|
| instanceOf |
academic article
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philosophical essay ⓘ |
| addresses |
how to justify belief in numbers
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reduction of talk about numbers to talk about concrete entities or structures ⓘ the role of quantification over abstract objects ⓘ |
| arguesFor |
accepting mathematical entities only as required by best scientific theory
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compatibility of mathematics with scientific naturalism ⓘ ontologically parsimonious treatment of mathematical entities ⓘ |
| author |
Willard Van Orman Quine
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surface form:
W. V. O. Quine
Willard Van Orman Quine ⓘ |
| contributesTo |
Quinean program of naturalized ontology
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debate on existence of abstract objects ⓘ methodology of ontological reduction in philosophy ⓘ |
| examines |
criteria for ontological commitment in mathematics
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how mathematical entities can be accommodated in a naturalistic worldview ⓘ status of numbers as abstract objects ⓘ ways to reduce or reinterpret reference to numbers ⓘ |
| focusesOn |
justification of mathematical ontology
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ontological reduction ⓘ relationship between mathematics and empirical science ⓘ |
| hasPhilosophicalDomain |
analytic philosophy
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logic and foundations of mathematics ⓘ metaphysics ⓘ |
| language | English ⓘ |
| mainTopic |
mathematical entities
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naturalism ⓘ numbers ⓘ ontological parsimony ⓘ ontology ⓘ philosophy of mathematics ⓘ |
| philosophicalApproach |
Quinean naturalism
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ontological commitment ⓘ ontological reductionism ⓘ |
| relatedTo |
Quine’s criterion of ontological commitment
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indispensability argument for mathematics ⓘ nominalism ⓘ ontological relativity ⓘ platonism about numbers ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.
Ontological Relativity and Other Essays
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Ontological Reduction and the World of Numbers
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