Indian mathematics
E406333
Indian mathematics is the ancient and classical mathematical tradition of the Indian subcontinent, notable for foundational developments in arithmetic, algebra, and the concept of zero that significantly shaped later mathematical thought worldwide.
All labels observed (3)
| Label | Occurrences |
|---|---|
| Ganita (mathematics) section of Aryabhatiya | 1 |
| History of Hindu Mathematics | 1 |
| Indian mathematics canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T4013097 — 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: Indian mathematics Context triple: [Al-Khwarizmi, influencedBy, Indian mathematics]
-
A.
Islamic mathematics
Islamic mathematics is the body of mathematical knowledge developed in the Islamic world between the 8th and 15th centuries, notable for major advances in algebra, arithmetic, geometry, and trigonometry that significantly influenced later European mathematics.
-
B.
Egyptian mathematics
Egyptian mathematics is the body of mathematical knowledge and techniques developed in ancient Egypt, notable for its practical arithmetic, geometry, and use of unit fractions in administrative, architectural, and surveying applications.
-
C.
Hindu–Arabic numeral system
The Hindu–Arabic numeral system is the globally dominant positional number system that uses ten digits (0–9) and place value to represent all integers efficiently.
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D.
Aryabhata
Aryabhata was an ancient Indian mathematician and astronomer renowned for pioneering work in arithmetic, algebra, trigonometry, and astronomical calculations, including an early approximation of π and insights into the Earth's rotation.
-
E.
ancient India
Ancient India refers to the early historical and cultural phases of the Indian subcontinent, marked by the development of Vedic traditions, classical Sanskrit literature, and foundational religious, philosophical, and legal systems.
- 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: Indian mathematics Target entity description: Indian mathematics is the ancient and classical mathematical tradition of the Indian subcontinent, notable for foundational developments in arithmetic, algebra, and the concept of zero that significantly shaped later mathematical thought worldwide.
-
A.
Islamic mathematics
Islamic mathematics is the body of mathematical knowledge developed in the Islamic world between the 8th and 15th centuries, notable for major advances in algebra, arithmetic, geometry, and trigonometry that significantly influenced later European mathematics.
-
B.
Egyptian mathematics
Egyptian mathematics is the body of mathematical knowledge and techniques developed in ancient Egypt, notable for its practical arithmetic, geometry, and use of unit fractions in administrative, architectural, and surveying applications.
-
C.
Hindu–Arabic numeral system
The Hindu–Arabic numeral system is the globally dominant positional number system that uses ten digits (0–9) and place value to represent all integers efficiently.
-
D.
Aryabhata
Aryabhata was an ancient Indian mathematician and astronomer renowned for pioneering work in arithmetic, algebra, trigonometry, and astronomical calculations, including an early approximation of π and insights into the Earth's rotation.
-
E.
ancient India
Ancient India refers to the early historical and cultural phases of the Indian subcontinent, marked by the development of Vedic traditions, classical Sanskrit literature, and foundational religious, philosophical, and legal systems.
- F. None of above. chosen
Statements (72)
| Predicate | Object |
|---|---|
| instanceOf |
history of mathematics topic
ⓘ
mathematical tradition ⓘ |
| continent |
South Asia
ⓘ
surface form:
Indian subcontinent
|
| country | India ⓘ |
| culturalContext |
Buddhist scholarly tradition
ⓘ
Hindu scholarly tradition ⓘ Jain scholarly tradition ⓘ |
| developedMethod |
chakravala method for solving indeterminate equations
ⓘ
geometric constructions using cords and altars ⓘ iterative methods for root extraction ⓘ series expansions for trigonometric functions ⓘ |
| field |
algebra
ⓘ
arithmetic ⓘ astronomy ⓘ geometry ⓘ number theory ⓘ trigonometry ⓘ |
| hasNotableConcept |
Brahmagupta–Fibonacci identity
ⓘ
Pascal-type triangle ⓘ Pell-type equations ⓘ algebraic methods in astronomy ⓘ approximations to π ⓘ binomial coefficients ⓘ combinatorics ⓘ cosine function ⓘ early calculus-like methods ⓘ early trigonometric functions ⓘ infinite series ⓘ magic squares ⓘ place-value notation ⓘ positional decimal numeral system ⓘ rule of three in arithmetic ⓘ sine function ⓘ solutions of indeterminate equations ⓘ solutions of quadratic equations ⓘ use of negative numbers ⓘ versine function ⓘ zero as a number ⓘ |
| hasNotablePerson |
Aryabhata
ⓘ
Bhaskara I ⓘ Bhaskara I ⓘ
surface form:
Bhaskara II
Brahmagupta ⓘ Madhava of Sangamagrama ⓘ Mahavira (mathematician) ⓘ Manjulabhadra ⓘ Nilakantha Somayaji ⓘ Varahamihira ⓘ |
| hasNotableSchool |
Jaina mathematical tradition
ⓘ
Kerala school of astronomy and mathematics ⓘ Vedic mathematical tradition ⓘ |
| hasNotableWork |
Aryabhatiya
ⓘ
Bijaganita ⓘ Brahmasphutasiddhanta ⓘ Ganitasarasangraha ⓘ
surface form:
Ganita-sara-sangraha
Lilavati ⓘ Pancanga astronomical tables ⓘ Siddhanta Shiromani ⓘ Shulbasutras ⓘ
surface form:
Sulba Sutras
Yuktibhasa ⓘ |
| influenced |
Islamic mathematics
ⓘ
development of modern numerals ⓘ global arithmetic practices ⓘ medieval European mathematics ⓘ |
| introducedTo |
Europe via Arabic and Latin translations
ⓘ
Islamic world via translations ⓘ |
| timePeriod |
Vedic period
ⓘ
classical period ⓘ medieval period ⓘ |
| usedLanguage |
Prakrit
ⓘ
Sanskrit ⓘ |
| usedScript |
Brahmi numerals
ⓘ
Nagari numerals ⓘ |
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: Indian mathematics Description of subject: Indian mathematics is the ancient and classical mathematical tradition of the Indian subcontinent, notable for foundational developments in arithmetic, algebra, and the concept of zero that significantly shaped later mathematical thought worldwide.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Ganita (mathematics) section of Aryabhatiya
this entity surface form:
History of Hindu Mathematics