Les Principes du calcul infinitésimal
E627186
Les Principes du calcul infinitésimal is a philosophical and metaphysical critique of modern infinitesimal calculus in which René Guénon examines its foundational concepts from the standpoint of traditional metaphysics.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Les Principes du calcul infinitésimal canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T6901068 — 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: Les Principes du calcul infinitésimal Context triple: [René Guénon, notableWork, Les Principes du calcul infinitésimal]
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A.
Cours d’Analyse
Cours d’Analyse is a foundational 19th-century mathematics textbook by Augustin-Louis Cauchy that rigorously developed the theory of functions, limits, and continuity, helping to formalize modern analysis.
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B.
Réflexions sur la métaphysique du calcul infinitésimal
Réflexions sur la métaphysique du calcul infinitésimal is a foundational 18th-century treatise by Lazare Carnot that examines the philosophical and logical underpinnings of infinitesimal calculus.
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C.
Méthodes de calcul différentiel absolu et leurs applications
Méthodes de calcul différentiel absolu et leurs applications is a foundational mathematical work that systematically develops the theory of tensor calculus and its applications, laying groundwork later used in general relativity.
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D.
Arithmetica Infinitorum
Arithmetica Infinitorum is a 1656 mathematical treatise by John Wallis that systematically develops methods of infinitesimal calculus and infinite series, laying groundwork for later advances in analysis.
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E.
Théorie analytique de la chaleur
Théorie analytique de la chaleur is Joseph Fourier’s foundational 1822 treatise that introduced Fourier series and laid the mathematical groundwork for the modern theory of heat conduction and harmonic analysis.
- 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: Les Principes du calcul infinitésimal Target entity description: Les Principes du calcul infinitésimal is a philosophical and metaphysical critique of modern infinitesimal calculus in which René Guénon examines its foundational concepts from the standpoint of traditional metaphysics.
-
A.
Cours d’Analyse
Cours d’Analyse is a foundational 19th-century mathematics textbook by Augustin-Louis Cauchy that rigorously developed the theory of functions, limits, and continuity, helping to formalize modern analysis.
-
B.
Réflexions sur la métaphysique du calcul infinitésimal
Réflexions sur la métaphysique du calcul infinitésimal is a foundational 18th-century treatise by Lazare Carnot that examines the philosophical and logical underpinnings of infinitesimal calculus.
-
C.
Méthodes de calcul différentiel absolu et leurs applications
Méthodes de calcul différentiel absolu et leurs applications is a foundational mathematical work that systematically develops the theory of tensor calculus and its applications, laying groundwork later used in general relativity.
-
D.
Arithmetica Infinitorum
Arithmetica Infinitorum is a 1656 mathematical treatise by John Wallis that systematically develops methods of infinitesimal calculus and infinite series, laying groundwork for later advances in analysis.
-
E.
Théorie analytique de la chaleur
Théorie analytique de la chaleur is Joseph Fourier’s foundational 1822 treatise that introduced Fourier series and laid the mathematical groundwork for the modern theory of heat conduction and harmonic analysis.
- F. None of above. chosen
Statements (34)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
metaphysical treatise ⓘ |
| approach |
metaphysical critique
ⓘ
philosophical critique ⓘ |
| associatedWith | René Guénon bibliography ⓘ |
| author | René Guénon NERFINISHED ⓘ |
| concerns |
concept of the infinitesimal
ⓘ
continuity and discontinuity ⓘ nature of mathematical abstraction ⓘ |
| countryOfOrigin | France ⓘ |
| criticizes |
modern scientific rationalism
ⓘ
purely quantitative conceptions of mathematics ⓘ |
| critiques | modern infinitesimal calculus ⓘ |
| examines | foundational concepts of calculus ⓘ |
| field |
history and philosophy of science
ⓘ
philosophy ⓘ philosophy of science ⓘ |
| genre |
metaphysics
ⓘ
philosophy of mathematics ⓘ |
| language | French ⓘ |
| mainSubject |
critique of modern science
ⓘ
foundations of mathematics ⓘ infinitesimal calculus ⓘ traditional metaphysics ⓘ |
| notableFor |
metaphysical analysis of calculus
ⓘ
traditionalist critique of modern mathematics ⓘ |
| originalTitle | Les Principes du calcul infinitésimal NERFINISHED ⓘ |
| philosophicalPerspective |
Perennialism
ⓘ
traditionalism ⓘ |
| relatedWorkOfAuthor |
La Crise du monde moderne
NERFINISHED
ⓘ
Le Règne de la quantité et les signes des temps NERFINISHED ⓘ |
| seeksTo | reintegrate calculus into a traditional metaphysical framework ⓘ |
| title | Les Principes du calcul infinitésimal NERFINISHED ⓘ |
| usesStandpointOf | traditional metaphysics ⓘ |
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: Les Principes du calcul infinitésimal Description of subject: Les Principes du calcul infinitésimal is a philosophical and metaphysical critique of modern infinitesimal calculus in which René Guénon examines its foundational concepts from the standpoint of traditional metaphysics.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.