Methodus Incrementorum Directa et Inversa
E1001731
Methodus Incrementorum Directa et Inversa is an early 18th-century mathematical treatise by Brook Taylor that introduced the calculus of finite differences and what is now known as Taylor series.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Methodus Incrementorum Directa et Inversa canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T12761559 — 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: Methodus Incrementorum Directa et Inversa Context triple: [Brook Taylor, notableWork, Methodus Incrementorum Directa et Inversa]
-
A.
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.
-
B.
Treatise of Fluxions
Treatise of Fluxions is an 18th-century mathematical work by Colin Maclaurin that systematically develops and defends Isaac Newton’s calculus of fluxions.
-
C.
Mirifici Logarithmorum Canonis Descriptio
Mirifici Logarithmorum Canonis Descriptio is John Napier’s seminal early 17th-century treatise that introduced and systematically described logarithms, revolutionizing mathematical computation.
-
D.
De institutione arithmetica
De institutione arithmetica is a foundational late antique Latin treatise on arithmetic that transmitted and systematized ancient Greek number theory for the medieval West.
-
E.
Elementa curvarum linearum
Elementa curvarum linearum is a 17th-century mathematical treatise by Johan de Witt that systematically studies the geometry and properties of linear curves.
- 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: Methodus Incrementorum Directa et Inversa Target entity description: Methodus Incrementorum Directa et Inversa is an early 18th-century mathematical treatise by Brook Taylor that introduced the calculus of finite differences and what is now known as Taylor series.
-
A.
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.
-
B.
Treatise of Fluxions
Treatise of Fluxions is an 18th-century mathematical work by Colin Maclaurin that systematically develops and defends Isaac Newton’s calculus of fluxions.
-
C.
Mirifici Logarithmorum Canonis Descriptio
Mirifici Logarithmorum Canonis Descriptio is John Napier’s seminal early 17th-century treatise that introduced and systematically described logarithms, revolutionizing mathematical computation.
-
D.
De institutione arithmetica
De institutione arithmetica is a foundational late antique Latin treatise on arithmetic that transmitted and systematized ancient Greek number theory for the medieval West.
-
E.
Elementa curvarum linearum
Elementa curvarum linearum is a 17th-century mathematical treatise by Johan de Witt that systematically studies the geometry and properties of linear curves.
- F. None of above. chosen
Statements (33)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematical treatise ⓘ |
| author | Brook Taylor NERFINISHED ⓘ |
| authorBirthYear | 1685 ⓘ |
| authorDeathYear | 1731 ⓘ |
| authorNationality | English ⓘ |
| centuryOfPublication | 18th century ⓘ |
| countryOfPublication | Kingdom of Great Britain NERFINISHED ⓘ |
| era | Age of Enlightenment NERFINISHED ⓘ |
| field |
analysis
ⓘ
calculus ⓘ mathematics ⓘ |
| hasGenre |
mathematical monograph
ⓘ
scientific literature ⓘ |
| hasInfluenced |
development of mathematical analysis
ⓘ
development of numerical analysis ⓘ later work on power series expansions ⓘ |
| historicalPeriod | early modern mathematics ⓘ |
| introducedConcept |
Taylor series
NERFINISHED
ⓘ
calculus of finite differences ⓘ finite difference methods ⓘ |
| language | Latin ⓘ |
| mainSubject |
Taylor series
ⓘ
calculus of finite differences ⓘ |
| notableFor |
early formulation of Taylor series
ⓘ
systematic treatment of finite differences ⓘ |
| originalTitle | Methodus Incrementorum Directa et Inversa NERFINISHED ⓘ |
| publicationPlace | London NERFINISHED ⓘ |
| publicationYear | 1715 ⓘ |
| relatedConcept |
difference equations
ⓘ
interpolation ⓘ power series ⓘ |
| relatedWork | Linear Perspective (Brook Taylor) NERFINISHED ⓘ |
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: Methodus Incrementorum Directa et Inversa Description of subject: Methodus Incrementorum Directa et Inversa is an early 18th-century mathematical treatise by Brook Taylor that introduced the calculus of finite differences and what is now known as Taylor series.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.