Principles of Mathematics
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Principles of Mathematics is Bertrand Russell’s foundational work in mathematical logic and the philosophy of mathematics, arguing that mathematics can be derived from purely logical principles.
Aliases (1)
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
book
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non-fiction book → philosophy of mathematics work → work on mathematical logic → |
| addresses |
concept of infinity
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continuity and the continuum → foundations of geometry → logical form of mathematical propositions → nature of classes and relations → nature of numbers → paradoxes of set theory → |
| author |
Bertrand Russell
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|
| countryOfOrigin |
United Kingdom
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|
| genre |
logic
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mathematics → philosophy → |
| hasPart |
Part I: The Indefinables of Mathematics
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Part II: Number → Part III: Quantity → Part IV: Order → Part V: Infinity and Continuity → Part VI: Space → Part VII: Matter and Motion → |
| influenced |
20th-century analytic philosophy
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Principia Mathematica → foundations of mathematics research → philosophy of logic → |
| language |
English
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|
| mainClaim |
all pure mathematics can be derived from logical principles
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mathematics deals with logical relations among abstract entities → |
| notableFor |
early use of symbolic logic in foundations of mathematics
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systematic defense of logicism → |
| philosophicalPositionDefended |
logicism
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mathematics is reducible to logic → |
| publicationYear |
1903
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|
| publisher |
Cambridge University Press
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|
| relatedWork |
Principia Mathematica
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|
| subject |
classes
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continuity → foundations of mathematics → geometry → infinity → logicism → mathematical logic → number theory → philosophy of mathematics → relations → set theory → |
| timePeriod |
early 20th century
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|
Referenced by (3)
| Subject (surface form when different) | Predicate |
|---|---|
|
Bertrand Russell
→
Bertrand Russell → |
notableWork |
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Principles of Mathematics
("Part I: The Indefinables of Mathematics")
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hasPart |