Réflexions sur la métaphysique du calcul infinitésimal
E144232
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.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Réflexions sur la métaphysique du calcul infinitésimal canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T1260570 — 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: Réflexions sur la métaphysique du calcul infinitésimal Context triple: [Lazare Carnot, notableWork, Réflexions sur la métaphysique du calcul infinitésimal]
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A.
Remarks on the Foundations of Mathematics
Remarks on the Foundations of Mathematics is a posthumously published collection of Ludwig Wittgenstein’s later writings that critically examines the nature of mathematical truth, proof, and practice from a philosophical and language-centered perspective.
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B.
Principia Mathematica
Principia Mathematica is a landmark three-volume work in mathematical logic and the foundations of mathematics, co-authored by Bertrand Russell and Alfred North Whitehead, which aimed to derive all mathematical truths from a formal system of symbolic logic.
-
C.
Principles of Cartesian Philosophy
Principles of Cartesian Philosophy is Baruch Spinoza’s early systematic exposition and critique of René Descartes’ philosophy, presented in a geometric, axiomatic style that anticipates his later work.
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D.
Prolegomena to Any Future Metaphysics
Prolegomena to Any Future Metaphysics is a foundational philosophical work by Immanuel Kant that concisely outlines and defends the key ideas of his critical philosophy, especially those developed more fully in the Critique of Pure Reason.
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E.
The Logical Structure of the World
The Logical Structure of the World is Rudolf Carnap’s seminal 1928 work in which he develops a rigorous, formal reconstruction of all scientific concepts from a phenomenalist basis, serving as a foundational text of logical positivism.
- 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: Réflexions sur la métaphysique du calcul infinitésimal Target entity description: 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.
-
A.
Remarks on the Foundations of Mathematics
Remarks on the Foundations of Mathematics is a posthumously published collection of Ludwig Wittgenstein’s later writings that critically examines the nature of mathematical truth, proof, and practice from a philosophical and language-centered perspective.
-
B.
Principia Mathematica
Principia Mathematica is a landmark three-volume work in mathematical logic and the foundations of mathematics, co-authored by Bertrand Russell and Alfred North Whitehead, which aimed to derive all mathematical truths from a formal system of symbolic logic.
-
C.
Principles of Cartesian Philosophy
Principles of Cartesian Philosophy is Baruch Spinoza’s early systematic exposition and critique of René Descartes’ philosophy, presented in a geometric, axiomatic style that anticipates his later work.
-
D.
Prolegomena to Any Future Metaphysics
Prolegomena to Any Future Metaphysics is a foundational philosophical work by Immanuel Kant that concisely outlines and defends the key ideas of his critical philosophy, especially those developed more fully in the Critique of Pure Reason.
-
E.
The Logical Structure of the World
The Logical Structure of the World is Rudolf Carnap’s seminal 1928 work in which he develops a rigorous, formal reconstruction of all scientific concepts from a phenomenalist basis, serving as a foundational text of logical positivism.
- F. None of above. chosen
Statements (42)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematical treatise ⓘ philosophical work ⓘ |
| aim |
to clarify the metaphysical status of infinitesimal quantities
ⓘ
to provide logical justification for methods of infinitesimal calculus ⓘ |
| associatedWith | Lazare Carnot's work on mechanics and mathematics ⓘ |
| author | Lazare Carnot ⓘ |
| contributor | Lazare Carnot ⓘ |
| countryOfOrigin | France ⓘ |
| field |
calculus
ⓘ
mathematics ⓘ philosophy of mathematics ⓘ |
| genre |
philosophical treatise
ⓘ
scientific treatise ⓘ |
| hasPerspectiveOn |
nature of continuity
ⓘ
nature of limits ⓘ status of infinitely small quantities ⓘ |
| historicalPeriod |
Age of Enlightenment
ⓘ
surface form:
Enlightenment
|
| influencedBy |
development of 17th- and 18th-century calculus
ⓘ
works of Gottfried Wilhelm Leibniz ⓘ works of Isaac Newton ⓘ |
| intendedAudience |
mathematicians
ⓘ
philosophers of science ⓘ |
| language | French ⓘ |
| mainTopic |
foundations of calculus
ⓘ
infinitesimal calculus ⓘ logical foundations of analysis ⓘ metaphysics of infinitesimals ⓘ |
| notableFor |
attempt to reconcile intuitive infinitesimals with logical rigor
ⓘ
early systematic analysis of the foundations of infinitesimal calculus ⓘ |
| philosophicalApproach | critical examination of infinitesimals ⓘ |
| philosophicalDiscipline |
epistemology of mathematics
ⓘ
metaphysics ⓘ |
| publicationCentury | 18th century ⓘ |
| relatedConcept |
continuum
ⓘ
derivative ⓘ infinitesimal ⓘ integral ⓘ rigor in analysis ⓘ |
| subjectOf |
studies in history of mathematics
ⓘ
studies in philosophy of mathematics ⓘ |
| timePeriodOfWork | late 18th century ⓘ |
How these facts were elicited
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Instruction
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Input
Subject: Réflexions sur la métaphysique du calcul infinitésimal Description of subject: 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.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.