Bhutasamkhya System
   HOME

TheInfoList



OR:

The Bhūtasaṃkhyā system is a method of recording numbers in
Sanskrit Sanskrit (; stem form ; nominal singular , ,) is a classical language belonging to the Indo-Aryan languages, Indo-Aryan branch of the Indo-European languages. It arose in northwest South Asia after its predecessor languages had Trans-cultural ...
using common nouns having connotations of numerical values. The method was introduced already in astronomical texts in antiquity, but it was expanded and developed during the medieval period. A kind of
rebus A rebus ( ) is a puzzle device that combines the use of illustrated pictures with individual letters to depict words or phrases. For example: the word "been" might be depicted by a rebus showing an illustrated bumblebee next to a plus sign (+ ...
system, bhūtasaṃkhyā has also been called the "concrete number notation". For example, the number "two" was associated with the word "eye" as every human being has two eyes. Thus every Sanskrit word having the meaning "eye" was used to denote "two". All words synonymous with the meaning "earth" could be used to signify the number "one" as there is only one earth, etc. In the more expansive examples of application, concepts, ideas and objects from all parts of the Sanskrit lexicon were harvested to generate number-connoting words, resulting in a kind of
kenning A kenning ( Icelandic: ) is a figure of speech, a figuratively-phrased compound term that is used in place of a simple single-word noun. For instance, the Old English kenning () means , as does (). A kenning has two parts: a base-word (a ...
system for numbers. Thus, every Sanskrit word indicating an "arrow" has been used to denote "five" as
Kamadeva Kamadeva (, ), also known as Kama, Manmatha, and Madana is the Deva (Hinduism), Hindu god of Eroticism, erotic love, carnal desire, attraction, pleasure and beauty, as well as the personification of the concept of ''kāma''. He is depicted as a ...
, the Hindu deity of love, is traditionally depicted as a warrior carrying five arrows of flowers. The term ''
anuṣṭubh (, ) is a metre and a metrical unit, found in both Vedic and Classical Sanskrit poetry, but with significant differences. By origin, an anuṣṭubh stanza is a quatrain of four lines. Each line, called a ''pāda'' (lit. "foot"), has eight syll ...
'' has been used to signify "eight" as it is the name of a meter with eight syllables in a foot. Any Sanskrit word for "tooth" could be used to denote 32 as a grown-up man has a full set of 32 teeth. Terms implying "the gods" were used to indicate 33, as there is a tradition of "thirty-three gods" ('' trāyastriṃśadeva'') in certain Hindu and Buddhist texts. A potential user of the system had a multitude of words to choose from for denoting the same number. The mapping from "words" to "numbers" is many-to-one. This has facilitated the embedding of numbers in verses in Indian treatises on mathematics and astronomy. This helped in memorising large tables of numbers required by astronomers and astrologers. Single words indicating smaller numbers were strung together to form phrases and sentences for representing arbitrary large numbers. This formation of large numbers was accomplished by incorporating the decimal place value system into the scheme, where digits are named in ascending order. As an example, in an 18th-century inscription from Kalna, a year is given as ''bāṇa-vyoma-dharādhar-indu-gaṇite śāke'' which means "In the Śāka year enumerated by arrow sky mountain and moon , that is, "Śāka 5-0-7-1" = Śāka 1705 = AD 1783. The earliest evidence of this system is found in Yavanajataka, a versification of a Greek astronomical text dated to the early centuries CE. Limited use of Bhutasamkhya is seen in some s, for example Bhagavata Mahatmya of Padma Purana (6.66) uses the word nagaaha'' to refer to "seven days", i.e. ''naga'' "mountain" is used as a synonym of "seven" (because of the "seven principal mountains" or ''kula-giri''), a usage already found in medieval recensions of the
Surya Siddhanta The ''Surya Siddhanta'' (; ) is a Sanskrit treatise in Indian astronomy dated to 4th to 5th century,Menso Folkerts, Craig G. Fraser, Jeremy John Gray, John L. Berggren, Wilbur R. Knorr (2017)Mathematics Encyclopaedia Britannica, Quote: "(...) i ...
. It is found throughout the Indian Buddhist Kalacakra Tantra literature.


See also

* Aksharapalli *
Āryabhaṭa numeration Āryabhaṭa numeration is an alphasyllabic numeral system based on Sanskrit phonemes. It was introduced in the early 6th century in India by Āryabhaṭa, in the first chapter titled ''Gītika Padam'' of his '' Aryabhatiya''. It attribute ...
*
Katapayadi system ''Kaṭapayādi'' system (Devanagari: कटपयादि, also known as ''Paralppēru'', Malayalam: പരല്‍പ്പേര്) of numerical notation is an ancient Indian alphasyllabic numeral system to depict letters to numerals ...


References


External links


Bhūtasaṅkhyā, a Bhūtasaṅkhyā encoding-decoding system


Further reading

* For a list of words commonly used for the representation of numbers in ''bhūtasaṃkhyā'' system see: ** ** ** ** {{cite book, author = C. P. Brown , year = 1869 , title = Sanskrit Prosody and Numerical Symbols Explained , pages=49–54 , url = https://archive.org/stream/sanskritprosody00browgoog#page/n64/mode/2up * Related Vide

Indian mathematics