Categories: Culture

A Very Brief History of Indian Science

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India’s civilization valued science and knowledge above all and some of the most extraordinary scientific advances took place there.

The annual Indian Science Congress, which just concluded, had its usual share of controversies about the history of Indian science and I have been asked to weigh in. It so turns out that I did precisely that in a brief account titled “Science” for Stanley Wolpert’s Encyclopedia of India(2005) and since that is freely available online, I shall be more selective of themes in this revision of the previous essay[1][2]. This account does not include the modern period for which many excellent histories exist.

The Vedic texts assert that the universe is governed by Rita (laws) and that consciousness transcends materiality. The universe is taken to be infinite in size and infinitely old.

Indian archaeology and literature provide considerable layered evidence related to the development of science. The chronological time frame for this history is provided by the archaeological record that has been traced, in an unbroken tradition, to about 8000 BCE. Prior to this date, there are records of rock paintings that are considerably older[3]. The earliest textual source is the Ṛigveda, which is a compilation of very ancient material. The astronomical references in the Vedic books recall events of the third or the fourth millennium BCE and earlier. The discovery that Sarasvati, the preeminent river of the Ṛigvedic times, went dry around 1900 BCE, if not earlier, suggests that portions of the Ṛigveda may be dated prior to this epoch.

The third-millennium urbanization is characterized by a very precise system of weights and monumental architecture using cardinal directions. Indian writing (the so-called Indus script) goes back to the beginning of the third millennium BCE, but it has not yet been deciphered. However, statistical analysis shows that the later historical script called Brahmi evolved from this writing.[4]

Laws and cosmology

The Vedic texts assert that the universe is governed by Rita (laws) and that consciousness transcends materiality. The universe is taken to be infinite in size and infinitely old. By the time of the Puraṇas, other worlds were postulated beyond our solar system.

It is asserted that language (as a formal system) cannot describe reality completely and linguistic descriptions suffer from paradox. Because of this limitation, reality can only be experienced and never described fully. Knowledge was classified in two ways: the lower or dual अपरा; and the higher or unified परा. The seemingly irreconcilable worlds of the material and the conscious were taken as aspects of the same transcendental reality.

It was known that this number 108 is the approximate distance from Earth to the sun and the moon, in sun and moon diameters, respectively.

The texts present a tripartite and recursive view of the world[5]. The three regions of the earth, space, and sky are mirrored in the human being in the physical body, the breath (praṇa), and the mind. The processes in the sky, on earth, and within the mind are assumed to be connected. This connection is a consequence of a binding (Bandhu) between various inner and outer phenomena and it is because of this binding that it is possible to know the world.[6]

There is evidence of the knowledge of biological cycles and awareness that there exist two fundamental rhythms in the body: the 24 hours related to the sun, and the 24 hours and 50 minutes related to the period of the moon (the moon rises about 50 minutes later every day)[7]. This knowledge is not surprising since monthly rhythms, averaging 29.5 days, are reflected in the reproductive cycles of many marine plants and those of animals.

The Ṛigveda 10.90 speaks of these connections by saying that the moon was born of the mind and the sun was born of the eyes of the cosmic self:

candramā mana’so jātaḥ | cakṣoḥ sūryo’ ajāyata | RV 10.90.13

The connection between the outer and the inner cosmos is seen most strikingly in the use of the number 108 in Indian religious and artistic expression[8]. It was known that this number is the approximate distance from Earth to the sun and the moon, in sun and moon diameters, respectively. This number was probably obtained by taking a pole of a certain height to a distance 108 times its height and discovering that the angular size of the pole was the same as that of the sun or the moon. It is a curious fact that the diameter of the sun is also approximately 108 times the diameter of Earth.

This number of dance poses (karaṇas) given in the Naṭya Sastra is 108, as is the number of beads in a Japa mala. The distance between the body and the inner sun is also taken to be 108, and thus there are 108 names of the gods and goddesses. The number of marmas (weak points) in Ayurveda is 107 because, in a chain 108 units long, the number of weak points would be one less.

Ancient Indian views of the universe are more subtle than the corresponding Western views.[9]

Physical laws and motion

The history of Indian physics goes back to Kanada (कणाद) (600 BCE) who asserted that all that is knowable is based on motion, thus giving centrality to analysis in the understanding of the universe [10]. Kanada asserted that there are nine classes of substances: ether, space, and time, which are continuous, and four kinds of atoms two of which have mass and two that have little mass. A brilliant argument was given in support of this view.

Let the basic atoms of Prithvi, Apas, Tejas, and Vayu be represented by P, Ap, T, and V, respectively. Every substance is composed of these four kinds of atoms. Consider gold in its solid form; its mass derives principally from the P atoms. When it is heated, it becomes a liquid and therefore there should be another kind of an atom already in gold which makes it possible for it to take the liquid form and this is Ap. When heated further it burns and this is when the T atom gets manifested. When heated further, it loses its mass ever so slightly, and this is due to the loss of the V atoms.

The atoms are eternal only under normal conditions, and during creation and destruction, they arise in a sequence starting with akasa and are absorbed in the reverse sequence at the end of the world cycle. The sequence of evolution of the elements is given as V→T→Ap→P[11]. The V and T atoms have little mass (since they do not exist in a substantive form), whereas P and Ap atoms have mass. This sequence also hides within it the possibility of transformation from V and T atoms that are energetic to the more massive Ap and P atoms.

Kanada also made a distinction between the mind and the self, or consciousness. The conscious subject is separate from material reality but is, nevertheless, able to direct its evolution. He presented laws of motion and also spoke of invariants[10]. He saw the atom to be spherical since it should appear the same from all directions.

Problems are often presented with their algebraic counterparts. The solution to planetary problems also led to the development of algebraic methods.

The atoms combined to form different kinds of molecules that break up under the influence of heat. The molecules come to have different properties based on the influence of various potentials.

Indian chemistry developed many different alkalis, acids, and metallic salts by processes of calcination and distillation, often motivated by the need to formulate medicines. Metallurgists developed efficient techniques of extraction of metals from ore.

Astronomy

We know quite a bit about how astronomical science evolved in India[12]. The Yajurvedic sage Yajnavalkya knew of a ninety-five-year cycle to harmonize the motions of the sun and the moon, and he also knew that the sun’s circuit was asymmetric. The second millennium BCE text Vedanga Jyotiṣa of Lagadha went beyond the earlier calendrical astronomy to develop a theory for the mean motions of the sun and the moon[13]. An epicycle theory was used to explain planetary motions. Given the different periods of the planets, it became necessary to assume yet longer periods to harmonize their cycles. This led to the notion of maha yugas and kalpas with periods of billions of years.

The innovations of the division of the circle into 360 parts and the zodiac into 27 nakshatras and 12 Rashi’s took place first in India[14]. The schoolbook accounts of how these innovations first emerged in Mesopotamia in the 7th century BCE and then arrived in India centuries later are incorrect.

The Satapatha Brahmana which was compiled soon after the Vedas says: “The sun strings these worlds [the earth, the planets, the atmosphere] to himself on a thread. This thread is the same as the wind…” This suggests a central role to the sun in defining the motions of the planets and ideas such as these must have ultimately led to the theory of expanding and shrinking epicycles.

Astronomical texts called Siddhanta’s begin appearing sometime in the first millennium BCE. According to the tradition, there were eighteen early Siddhanta’s, of which only a few have survived. Each Siddhanta is an astronomical system with its own constants. The Surya Siddhanta speaks of the motion of planets governed by “Cords of Air” that bind them, which is a conception like that of the field.

The great astronomers and mathematicians include Aryabhata (BC. 476), who took Earth to spin on its own axis and who spoke of the relativity of motion and provided outer planet orbits with respect to the sun[15]. This work and that of Brahmagupta (BC. 598) and Bhaskara (BC. 1114) was passed on to Europe via the Arabs. The Kerala School with figures such as Madhava (c. 1340–1425) and Nilakantha (c. 1444–1545) came up with new innovations of analysis based on advanced mathematics.

Evolution of Life

The Sankhya system speaks of evolution both at the levels of the individual as well as the cosmos. The Mahabharata and the Puranas have material on the creation and the rise of humankind[16]. It is said that man arose at the end of a chain that began with plants and various kinds of animals. In Vedic evolution, the urge to evolve into higher forms is taken to be inherent in nature. A system of evolution from inanimate to progressively higher life is assumed to be a consequence of the different proportions of the three basic attributes of the guṇas (qualities): sattva (“Truth” or “Transparency”), rajas (activity), and tamas (“Darkness” or “Inertia”). In its undeveloped state, the cosmic matter has these qualities in equilibrium. As the world evolves, one or the other of these becomes preponderant in different objects or beings, giving specific character to each.

Geometry and mathematics

Indian geometry began very early in the Vedic period in altar problems, as in the one where the circular altar is to be made equal in area to a square altar. The historian of mathematics, Abraham Seidenberg, saw the birth of geometry and mathematics in the solution of such problems[17]. Two aspects of the “Pythagoras” theorem are described in the texts by Baudhayana and others[18]. Problems are often presented with their algebraic counterparts. The solution to planetary problems also led to the development of algebraic methods.

Binary numbers were known at the time of Pingala’s Chandahsastra. Pingala, who might have lived as early as fourth century BCE used binary numbers to classify Vedic meters. The knowledge of binary numbers indicates a deep understanding of arithmetic.

The sign for zero within the place value decimal number system that was to revolutionize mathematics and facilitate the development of technology appears to have been devised around 50 BCE to 50 CE [19][20][21]. Indian numerals were introduced to Europe by Fibonacci (13th century) who is now known for a sequence that was described earlier by Virahanka (between 600 and 800), Gopāla (prior to 1135) and Hemacandra (1150 CE)[22]. Narayana Pandit (14th century) showed that these numbers were a special case of the multinomial coefficients.

Bharata’s Natya Sastra has resulted in combinatorics and discrete mathematics, and Aryabhata has material on mathematics including methods to solve numerical problems effectively[23]. Later source materials include the works of Brahmagupta, Lalla (eighth century), Mahavira (ninth century), Jayadeva, Sripati (eleventh century), Bhaskara, and Madhava[24][25]. In particular, Madhava’s derivation and use of infinite series predated similar development in Europe, which is normally seen as the beginning of modern calculus. Some scholars believe these ideas were carried by Jesuits from India to Europe and they eventually set in motion the Scientific Revolution.[26][27]

A noteworthy contribution was by the school of New Logic (Navya Nyaya) of Bengal and Bihar. At its zenith during the time of Raghunatha (1475–1550), this school developed a methodology for a precise semantic analysis of language. Navya Nyaya foreshadowed mathematical logic and there is evidence that it influenced modern machine theory.[16]

Grammar

Paṇini’s grammar Astadhyayi (Eight chapters) of the fifth century BCE provides four thousand rules that describe Sanskrit completely. This grammar is acknowledged to be one of the greatest intellectual achievements of all time. The great variety of language mirrors, in many ways, the complexity of nature and, therefore, success in describing a language is as impressive as a complete theory of physics. Scholars have shown that the grammar of Paṇini represents a universal grammatical and computing system[28]. From this perspective, it anticipates the logical framework of modern computers.[29]

Medicine

Ayurveda, the Indian medicine system, is a holistic approach to health that builds upon the tripartite Vedic approach to the world. Health is maintained through a balance between three basic touches of humor (dosa) of wind (Vata), fire (pitta), and water (kapha). Each of these humor had five varieties. Although literally meaning “Air,” “Bile,” and “Phlegm,” the dosas represented larger principles. Its division of states into three categories rather than two is more efficient than the binary division of other medical systems.[30]

Caraka and Susruta are two famous early physicians. According to Caraka, health and disease are not predetermined, and life may be prolonged by human effort. Susruta defines the purpose of medicine to cure the diseases of the sick, to protect the health, and to prolong life. The Samhitas speak of organisms that circulate in the blood, mucus, and phlegm. In particular, the organisms in the blood that cause disease are said to be invisible. It is suggested that physical contact and sharing the same air can cause such diseases to spread. Inoculation was practiced for protection against smallpox.[31]

In physical theory there is no place for the observer, computer science cannot explain how awareness arises in the brain-machine, and neuroscience has not found any neural correlate of consciousness.

Indian surgery was quite advanced. The caesarian section was known, as was plastic surgery, and bone setting reached a high degree of skill. Susruta classified surgical operations into eight categories: incision, excision, scarification, puncturing, probing, extraction, evacuation, and drainage, and suturing. Susruta lists 101 blunt and 20 sharp instruments that were used in surgery. The medical system tells us much about the Indian approach to science. There was an emphasis on observation and experimentation.

Mind and consciousness

Vedic deities represent cognitive centers[32]. It is asserted that para-vidya or Atma-vidya (the science of consciousness) cannot be described in words or design. In the Sri-yantra, which is a representation of the cosmos, consciousness (Siva) is shown as an infinitesimal dot in the middle.[33]

The interaction between matter and consciousness is postulated in terms of an observation process called Dristi-Sristi (creation through observation), which is consistent with a world governed by laws[34]. In the orthodox interpretation of the quantum theory, consciousness is a separate category as in Vedanta.[35]

Modern scientific subjects like physics, computer science, and neuroscience have been unable to explain the phenomenon of consciousness. Philosophy cannot reconcile our sense of freedom and agency with the framework of machine-like laws. In physical theory there is no place for the observer, computer science cannot explain how awareness arises in the brain-machine, and neuroscience has not found any neural correlate of consciousness.[36]

At the same time, the very association of information with physical systems as is done using entropy implies postulation of consciousness. So the use of the reductionist method in the analysis of consciousness has hit a wall.

Indian texts assert that the phenomenon of consciousness cannot be studied directly as a material property. Their analysis of consciousness using indirect methods may very well be relevant for further progress of this question in contemporary science.

Scientific speculations and more

Indian thought is unique in the breadth and scope of its scientific speculations that are scattered within its high literature. These range from airplanes (Ramayana) to weapons that can destroy the world (Mahabharata), and to the most astonishing abstract ideas in a text called Yoga-Vasistha.[37]

Many texts speak of the relativity of time and space — abstract concepts that developed in the scientific context just a hundred years ago. The Puranas describe countless universes and time flowing at different rates for different observers.

The Mahabharata has an account of an embryo divided into one hundred parts each becoming, after maturation in a separate pot, a healthy baby; this is how the Kaurava brothers are born. There is also mention of conception in one womb transferred to another: this is how Balarama is a brother to Krishna although he was born to a different mother. This Epic has a major section on battle with a spaceship whose occupants wear airtight suits (Saubha Parva). Are these to be seen as an early form of science fiction?

Universes defined recursively are described in the famous episode of Indra and the ants in Brahmavaivarta Purana. Here Visnu in the guise of a boy, explains to Indra that the ants he sees walking on the ground have all been Indras in their own solar systems at different times. These flights of imagination are more than a straightforward generalization of the motions of the planets into a cyclic universe.

The context of modern science fiction is clear: it is the liberation of the earlier modes of thought by the revolutionary developments of 20th-century science and technology. But how was science fiction integrated into the mainstream of Indian literary tradition over two thousand years ago? What was the intellectual ferment in which such sophisticated ideas arose?

Concluding, India’s civilization valued science and knowledge above all and some of the most extraordinary scientific advances took place there. These include the earliest astronomy, geometry, number theory, the Indian numeral system, the idea of physical laws and invariance, the earliest formal system to describe a complex natural phenomenon (as in Panini’s computer program-like grammar that was not rivaled for 2,500 years), a very subtle Yoga psychology, and the idea of immunization in medicine.

This creativity did not end with the ancient period. For India’s continuing relevance in the world of science, see The Indian foundations of modern science.[16]

Note:
1. The views expressed here are those of the author and do not necessarily represent or reflect the views of PGurus.

References:

[1] Stanley Wolpert – Wikipedia.org

[2] ENCYCLOPEDIA OF India – Vedicilluminations.com

[3] Archaeoastronomy in India – Arxiv.org

[4] Indic Scripts: Palaeographic and Linguistic Perspectives – Amazon.com

[5] Astronomy of the vedic altars – Sciencedirect.com

[6] Knowledge of Planets in the Third Millennium BC – Harvard.edu

[7] From Vedic Science To Vedanta – lsu.edu

[8] ART AND COSMOLOGY IN INDIA – Sutrajournal.com

[9] Greek and Indian Cosmology: Review of Early History – Arxiv.org

[10] Kaṇāda, Great Physicist and Sage of AntiquitySep 26, 2018, Medium.com

[11] Tesla, wireless energy transmission and Vivekananda – Currentscience.ac.in

[12] Birth and Early Development of Indian Astronomy – Arxiv.org

[13] The Astronomy of the Age of Geometric Altars – Harvard.edu

[14] Babylonian and Indian Astronomy: Early Connections – Arxiv.org

[15] A Note on Aryabhata’s Principle of Relativity – Arxiv.org

[16] Indian Foundations of Modern ScienceJul 25, 2018, Medium.com

[17] The origin of mathematics – Springer.com

[18] Baudhayana – St-Andrews.ac.uk

[19] THE SIGN FOR ZERO – Unz.com

[20] India’s impressive concept about nothingAug 8, 2018, BBC.com

[21] Five ways ancient India changed the world – with mathsSep 21, 2017, Theconversation.com

[22] The so-called fibonacci numbers in ancient and medieval India – Sciencedirect.com

[23] PĀṆINI AND BHARATA ON GRAMMAR AND ART – Sutrajournal.com

[24] An overview of Indian mathematics – Archive.org

[25] RATIONALE OF THE CHAKRAVALA PROCESS OF JAYADEVA AND BHASKARA II – Uky.edu

[26] The Crest of the Peacock – Uky.edu

[27] Indians predated Newton ‘discovery’ by 250 yearsAug 13, 2007, Phys.org

[28] Positional Value and Linguistic Recursion – Springer.com

[29] The Paninian approach to natural language processing – Sciencedirect.com

[30] On Ternary Coding and Three-Valued Logic – Arxiv.org

[31] How Ayurveda Pioneered Smallpox InoculationOct 31, 2015, Swarajyamag.com

[32] The Gods Within on the vedic understanding of mind and neuroscience – lsu.edu

[33] The Great Goddess Lalita And The Sri ChakraOct 01, 2016, Swarajyamag.com

[34] Artificial Intelligence, Consciousness and the SelfDec 11, 2018, Medium.com

[35] The Veda Of Physics: Reconciling The Observer And The ObservedDec 12, 2015, Swarajyamag.com

[36] NeuroQuantology – Neuroquantology.com

[37] Concepts of Space, Time, and Consciousness in Ancient IndiaFeb 2, 2008, Arxiv.org

Subhash Kak

Padma Shri Awardee, Author, scientist. Quantum information, AI, history of science.

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