I. The Question Nobody Asks
There is a question that the standard histories of the world are arranged so as never to ask, and it is the only interesting question in the whole subject.
At Karnak the temples stand, the hypostyle hall is intact enough to photograph, the hieroglyphs are legible to specialists. But nobody has offered to Amun-Ra in sixteen centuries. The priesthood is extinct. The language survives as a liturgical fossil in Coptic churches, and the religion it carried is gone so completely that its reconstruction is an academic exercise performed by men who do not believe a word of it.
At Babylon the ziggurats are mounds. Marduk has no devotees. Akkadian was a dead language for two thousand years until Rawlinson and Hincks broke the cuneiform in the nineteenth century, and what they recovered was a corpse, beautifully preserved.
At Athens the Parthenon is a Greek national monument administered by an archaeological service. No hecatomb is offered to Athena. The Eleusinian Mysteries, which ran for two thousand years, ended in the fourth century of the common era and their content is unknown to this day because the last man who could have told us was not asked. Rome, Persia before the Arab conquest, the Maya, the Mexica, the Norse, Carthage, Sumer, the Hittites, the whole long list of what the textbooks call the great civilisations of antiquity: every one of them is a ruin with a gift shop.
And then there is Kashi.
A man stands in the Ganga before sunrise, faces east, cups water in his palms, and recites a verse from the Rgveda that was composed before Homer, before the Torah reached its written form, before the first stone of the Parthenon was quarried. He recites it with the pitch accents intact. He is not performing a reconstruction. He learned it from his father, who learned it from his father, in a chain that has no gap in it. The fire he lights is the same fire, kindled the same way, addressed by the same names. The samskaras that will mark his son's life are the ones described in the Grhya-sutras. The wedding he will conduct uses the identical seven steps, the same verse spoken at the seventh.
Every other ancient civilisation of the world is something we dig up. Bharata is something we walk into.
That is the fact. It is not a matter of opinion, or of pride, or of interpretation. It is the plainest observable datum in world history, and it is almost never stated, because to state it is to invite the question that follows it: why?
Why did this one civilisation, and only this one, survive the total assault that annihilated all the others? Bharata was not spared. She was invaded more comprehensively, over a longer period, by more distinct waves of conquerors, than any other landmass on earth. Arabs, Turks, Afghans, Mongols, Portuguese, Dutch, French, British. Her temples were levelled by the thousand, her universities burned with their libraries inside them, her scholars killed, her wealth carried away by the shipload for four centuries, her land partitioned, her memory colonised, her very categories of self-understanding rewritten in a foreign tongue by men who despised her.
And she is still here. Not as a heritage industry. As a living thing, with the fire still lit.
Continuity of this kind is measurable, not sentimental. The Vedic srauta rites are still performed by families in Kerala, Tamil Nadu, Andhra and Maharashtra whose descent in the ritual is unbroken. The Nambudiri Atiratra, filmed and documented in 1975 by Frits Staal and a team of scholars, was recognised by them as the oldest surviving ritual of humanity, still being conducted by men who had learned it in the ordinary way from their fathers.
The answer to the question is the subject of everything that follows. But the answer cannot be given before the evidence, because most Indians, educated under a syllabus written to make them small, do not actually know what was here. They have been given a sanitised remainder: some spirituality, some spices, a peaceful people who were conquered because they were dreamy and disunited, and who were then improved by railways.
So the evidence first. The mathematics, the metal, the stone, the medicine, the water, the government, the grammar, the philosophy. Then what was done to it. Then the answer.
II. The Deep Floor
What was already here
Before the argument about what Bharata achieved can begin, the floor has to be established, because the floor is deeper than the textbooks admit.
At Mehrgarh in the Bolan pass, in levels dated to the seventh millennium before the common era, archaeologists found human molars with drilled holes in them. Eleven teeth from nine adults. The drilling is conical, made with a bow-drill of the kind used for bead-boring, and in several cases the tooth shows wear on the drilled surface, meaning the patient lived and chewed afterwards. That is dentistry, nine thousand years ago, performed on living people who survived it.
By the third millennium the Sindhu-Sarasvati cities were the largest and most orderly urban settlements on the planet. The scale is the first thing: over two thousand sites identified, spread across a territory larger than Egypt and Mesopotamia combined. But the scale is not the impressive part. The impressive part is the standardisation.
The bricks at Harappa, at Mohenjo-daro, at Kalibangan, at Dholavira, at Lothal, hundreds of kilometres apart, are cut in the ratio 1:2:4. Not approximately. Exactly. Across the entire civilisational area, for centuries. The weights are cubes of chert in a binary and decimal series, the smallest around 0.856 grams, doubling through 1:2:4:8:16:32:64 and then moving to decimal multiples. Weights from opposite ends of the territory match each other to within a fraction of a percent. This is a civilisation that had agreed on a metrology and enforced it over an area the size of western Europe, at a date when most of the world had not agreed on anything.
The water engineering is the second thing. Every substantial house in Mohenjo-daro had a bathing platform, and the platform drained into a covered street sewer with inspection holes and settling pits. Not the palace. The houses. Dholavira, on the salt flat of Khadir in Kachchh, has sixteen reservoirs occupying more than a third of the walled area, cut into bedrock, fed by check-dams on two seasonal streams, the largest of them seventy-three metres long and over ten metres deep. That is a city in a desert that solved its water problem by building a system that would not disgrace a municipal engineer today.
At Lothal there is a basin lined with kiln-fired brick, two hundred and eighteen metres by thirty-seven, with a sluice gate and a spill channel to hold water level at low tide. The identification as a dockyard has been disputed by those who prefer to call it a tank; the sluice, the spill channel, and the marine shell debris on the site favour the dockyard.
At Kalibangan there is a ploughed field, preserved under later deposits, with furrows running in two directions at right angles, wide-spaced one way and close-spaced the other. It is the earliest ploughed field yet excavated anywhere on earth, and the grid pattern for intercropping is the identical pattern used by farmers in that district today.
The name of the river
The Rgveda knows a river called Sarasvati, and it does not describe her as a minor stream. It calls her ambitame naditame devitame, best of mothers, best of rivers, best of goddesses. It places her between the Yamuna and the Sutlej. It describes her as flowing from the mountain to the sea.
Satellite imagery and ground survey have traced a palaeochannel of very large width running exactly there, through Haryana and Rajasthan into the Rann, and the majority of the mapped Sindhu-Sarasvati sites cluster along it rather than along the Indus. The river dried by stages, its headwaters captured by tectonic movement, and the settlements shifted east as it went.
That the Rgveda describes a river in its full flow which had ceased to reach the sea by the second millennium is a fact with consequences, and the consequences are why so much energy has been expended on not drawing them. A text that describes the Sarasvati as a mighty river is a text composed when the Sarasvati was a mighty river. The people who composed it were living on its banks. They were not arriving from anywhere. They were at home.
The nineteenth-century construction of an Aryan invasion, and its softer twentieth-century restatement as a migration, was never an archaeological finding. It was a philological hypothesis that acquired the authority of a fact by being taught as one for a hundred and fifty years, and it was politically useful to the men who taught it: a Bharata whose own civilisation was itself an import could hardly object to another one. There is no destruction layer, no invasion horizon, no break in the ceramic or skeletal record. The tradition never knew of any homeland but this one, and the tradition is right.
III. The Rope and the Altar
The oldest geometry in the world is not Greek. It is liturgical, and it is Indian, and it exists because of a ritual requirement of extraordinary precision.
The Vedic fire altar had to be built to an exact area and an exact shape. The falcon-shaped altar, the syenaciti, had to have a specified area; and when the ritual required it to be rebuilt larger, it had to be rebuilt with the same shape and a greater area, in stated proportion. A square altar might have to be converted to a circle of equal area, or a circle to a square. Two squares might have to be combined into one. This is not decoration. If the altar is wrong, the rite is void.
Out of this requirement came the Sulba-sutras, the cord-rules, of Baudhayana, Apastamba, Katyayana and Manava. Baudhayana is conventionally placed around 800 before the common era and is very probably older. His forty-eighth sutra states the following.
यत्पृथग्भूते कुरुतस्तदुभयं करोति ॥
yat prthagbhute kurutas tad ubhayam karoti
That is the theorem attributed to Pythagoras, stated in general form for the rectangle, some three centuries before Pythagoras was born, in a manual for bricklaying altars. It is stated without fanfare because it is not the point of the text; it is a tool the text needs in order to do its actual job.
The same corpus gives a value for the diagonal of the unit square.
The measure is to be increased by its third, and that third by its own fourth, less the thirty-fourth part of that fourth.
That is 1 + 1/3 + 1/(3.4) - 1/(3.4.34), which equals 1.4142156, against the true value of 1.4142135. It is correct to five decimal places, and it is given as a construction, not a decimal, because the geometers wanted a length they could lay out with a cord and not a number they could write down.
The Sulba texts also give constructions for transforming a square into a circle of equal area and back, for combining and subtracting squares, for building isosceles trapezia and rhombi to specified area, and for the general problem of scaling a figure while preserving its shape. Greek geometry, when it arrives, is a different animal, deductive and axiomatic where this is constructive and operational. But the operations are here first, and the men who performed them knew exactly what they were doing.
IV. Nothing, and the Machine of Number
The most valuable idea anyone has ever had
There is a reasonable case that the single most consequential mathematical invention in human history is the one that made all the others possible: a positional decimal notation with a symbol for the empty place.
Every other system failed at this. Roman numerals cannot be multiplied without an abacus. Greek alphabetic numerals cannot be multiplied at all in any practical sense. Babylonian sexagesimal had positional structure but no consistent zero and no fractional point, so that a written number was ambiguous by factors of sixty and had to be resolved from context. Egyptian numerals were additive. The consequence is that in every one of those civilisations, arithmetic was a specialist craft.
The Indian system made arithmetic something a child could do on a slate. Nine digits and a dot for the empty place, value determined by position, the same algorithms for any magnitude. This is the notation the entire world now uses, and it reached the world by a traceable route: from Bharata to Baghdad in the eighth century, where al-Khwarizmi wrote his treatise on calculation with the Hindu numerals around 825, and from the Arabic translation of that treatise into Latin as Algoritmi de numero Indorum, whence the word algorithm. Fibonacci learned it in Bugia from Arab merchants and published it in Europe in 1202, calling it the modus Indorum, the Indian method.
The names never lied. Europe called them Arabic numerals; the Arabs called them Indian numerals; and al-Biruni, who was in a position to know, said flatly that the Indians did not use letters for arithmetic as others did.
Zero as a number, not a placeholder
A hole in a column is one thing. A number that can be operated upon is another, and it is the second that Brahmagupta gives in the Brahmasphutasiddhanta in 628.
In the chapter on positives, negatives and cipher, he sets out the arithmetic of zero and of negative quantity as a complete system: a debt minus zero is a debt, a fortune minus zero is a fortune, zero minus zero is zero, a debt subtracted from zero is a fortune, the product of a debt and a fortune is a debt, the product of two debts is a fortune. This is the sign rule, stated in the seventh century, in a text that also treats the general quadratic and gives an algorithm for solving what Europe would later miscall Pell's equation.
He also attempts division by zero and gets it wrong, proposing that zero divided by zero is zero. Bhaskara II, five hundred years later, corrects him and gets it right in the way that matters: dividing by an ever-smaller quantity yields an ever-greater result, so the quotient of a finite quantity by cipher is a quantity he calls khahara, of infinite magnitude, and in which no change occurs however much is added or removed. That is a statement about the behaviour of a limit, made in the twelfth century.
The Bakhshali manuscript, on birch bark, uses the dot for zero and contains a remarkably good iterative method for square roots. Radiocarbon dating of the folios produced dates spanning several centuries, which has been read both as evidence for a very early date and as evidence that the manuscript is a composite of leaves of different ages.
Binary, and the combinatorial engine
Pingala's Chandahsastra, a treatise on Sanskrit prosody of perhaps the third or second century before the common era, has the task of enumerating all possible metres. A metre is a sequence of light and heavy syllables. To enumerate all metres of a given length is to enumerate all binary strings of that length.
Pingala therefore develops, as prosodic technique: a rule for listing all such sequences in order, a rule for finding the sequence at a given index and the index of a given sequence, a method for computing two raised to a power by repeated squaring, the array of binomial coefficients which he calls meru-prastara and which Europe calls Pascal's triangle, and the additive sequence generated by counting metres of a given duration, which is the sequence Europe names after Fibonacci. Virahanka states that recursion explicitly by the seventh century, some five hundred years before Leonardo of Pisa.
It is worth pausing on where these results are found. Not in a mathematics department. In a manual of poetics. The Indian intellectual tradition did not partition knowledge the way the modern university does, and its mathematics is scattered through its grammar, its prosody, its ritual manuals, its astronomy and its medicine, because those were the places where problems arose. The partitioning is ours, and it has cost us the ability to see what is in front of us.
V. From Aryabhata to Madhava
Twenty-three years old
Aryabhata finished the Aryabhatiya in 499, and states in the text that he was twenty-three when he did it. It is a work of a hundred and twenty-one verses, and it contains the following.
A value for the ratio of circumference to diameter: add four to a hundred, multiply by eight, add sixty-two thousand, and divide by twenty thousand. That is 62832 divided by 20000, which is 3.1416. What matters more than the accuracy is the word he attaches to it: asanna, meaning approached or approximate. He is marking the value as inexact. No other ancient mathematician says this about pi. That the word marks a suspicion of irrationality, rather than merely an admission of computational limit, is an inference drawn from a single term. It is the natural inference, and it is made eleven centuries before Lambert proved the point.
A sine table, given as differences, in a versified alphanumeric code, at intervals of 3 degrees 45 minutes. Not chords, as in Ptolemy. Half-chords. The Sanskrit is jya, which passed into Arabic as jiba, was misread by a Latin translator as jaib meaning a bay or fold, and was rendered sinus, whence sine. The word every schoolchild uses is a mistranslation of a Sanskrit word, and it has been sitting in the textbooks unexamined for eight hundred years.
A sidereal day of 23 hours 56 minutes 4.1 seconds. The modern figure is 23 hours 56 minutes 4.091 seconds. That is an error of about one hundredth of a second in a value obtained in the fifth century.
And a statement about the rotation of the earth which is worth reading in the original, because of the image he chooses.
अचलानि भानि तद्वत्समपश्चिमगानि लङ्कायाम् ॥
acalani bhani tadvat samapascimagani lankayam
The relativity of observed motion, used to argue that the apparent revolution of the heavens is the rotation of the observer. He also states that the moon and planets shine by reflected sunlight, and gives eclipses as shadows: the lunar eclipse the earth's shadow on the moon, the solar the moon's shadow on the earth, with computational methods for both. This in a world where eclipses were nearly everywhere else understood as the acts of demons.
The Kerala school
Two centuries before Newton was born, on the Malabar coast, a mathematician named Madhava of Sangamagrama did something that no historian of mathematics has yet fully absorbed.
He took the infinite series. Not as a curiosity but as a method, with proofs, with convergence analysis, and with correction terms for accelerating a truncated sum. The power series for sine, for cosine, and for the arctangent are his. The special case of the arctangent series at unity gives the alternating series for a quarter of pi, and Madhava not only has it but knows that it converges too slowly to be useful and supplies three successively better correction terms to fix that. He obtained a value of pi correct to eleven decimal places.
The originals are lost. What survives is the testimony of his successors, who are meticulous about attribution: Nilakantha Somayaji in the Tantrasangraha around 1500, Jyesthadeva in the Yuktibhasa around 1530, Sankara Variar in his commentary. They repeatedly write that this is as told by Madhava.
The Yuktibhasa is the greater of these, because it is not a statement of results. It is a book of proofs, written in Malayalam prose rather than Sanskrit verse, deriving the series with a treatment of the summation of powers and of the limiting behaviour of the terms that constitutes, on any reasonable definition, the integral calculus. The school continued for three centuries. Nilakantha revised the planetary model so that Mercury and Venus orbit the sun while the sun orbits the earth, a geometrically superior arrangement that Tycho Brahe would arrive at a century later.
Selected mathematical results, Indian priority and European rediscovery
| Result | Bharata | Europe | European name |
|---|---|---|---|
| Theorem of the rectangle diagonal | Baudhayana, c. 800 BCE | Pythagoras, c. 530 BCE | Pythagorean theorem |
| Binary enumeration, binomial array | Pingala, c. 200 BCE | Pascal, 1654 | Pascal's triangle |
| Additive recursion sequence | Virahanka, c. 700 | Leonardo of Pisa, 1202 | Fibonacci numbers |
| Rules for zero and negative quantity | Brahmagupta, 628 | Stifel and Cardano, 16th century | Rule of signs |
| Cyclic method for the quadratic indeterminate | Jayadeva and Bhaskara II, 12th century | Brouncker and Euler, 17th and 18th centuries | Pell's equation |
| Mean value form and instantaneous motion | Bhaskara II, 1150 | Rolle, 1691 | Rolle's theorem |
| Power series for sine and cosine | Madhava, c. 1400 | Newton, 1669 | Newton series |
| Power series for arctangent | Madhava, c. 1400 | Gregory 1671, Leibniz 1673 | Gregory-Leibniz series |
The results reached Europe in the seventeenth century by an unknown route or by none; the question of transmission through the Jesuit mission at Cochin, which was collecting astronomical material precisely there and precisely then, remains open and is worth pursuing. But priority does not depend on transmission. The dates are the dates.
Charles Whish laid the whole thing before the Royal Asiatic Society in 1834, under a title announcing that the Hindus had the quadrature of the circle and the infinite series. He was ignored for over a century, and the reason he was ignored is not mysterious. A colonial administration in the business of explaining why Bharata required governing had no use for evidence that Bharata had invented the calculus.
VI. Fire and Metal
The metal that boils
Zinc is a difficult metal and the difficulty is chemical, not mechanical. The reduction of zinc oxide with charcoal requires around 1000 degrees Celsius; but zinc boils at 907. The metal comes off as vapour, and vapour in the presence of the furnace atmosphere immediately re-oxidises into a white powder. Every conventional smelting method therefore destroys the product at the moment of making it. This is why Europe, which had brass by alloying copper directly with zinc ore, did not have metallic zinc as an industrial product until William Champion patented a process at Bristol in 1738.
At Zawar in the Aravallis, south of Udaipur, Indian metallurgists solved it centuries earlier by inverting the problem, literally. The ore was roasted, ground, mixed with charcoal, salt and organic binder, rolled into pellets and packed into brinjal-shaped clay retorts. The retorts were set mouth-downward on a perforated clay plate, above a lower condensing chamber. Heat was applied from above. The zinc vapour, having nowhere to go but down through the retort's neck into the cool chamber below, condensed as liquid metal out of contact with air and ran out.
That is downward distillation, tiryak-patana in the rasasastra literature, and it is a genuine solution to a genuinely hard problem. Banks of seven furnaces have been excavated at Zawarmala, each holding dozens of retorts. Radiocarbon evidence puts mining at the site well before the common era and industrial-scale smelting from around the ninth century, with the great expansion in the eleventh and twelfth. The valley of the Tiri is heaped with spent retorts. Estimates of total ancient production run to a quarter of a million tonnes of metal.
The process is described in the Rasaratnasamuccaya and related alchemical texts before it is described anywhere else in the world. Regular zinc production in China begins in the sixteenth century and the technology is generally held to derive from the Indian one.
The pillar that does not rust
In the courtyard at Mehrauli stands a shaft of wrought iron, seven and a quarter metres tall, over six tonnes, forged around the fourth century and inscribed with a Sanskrit eulogy of a king named Candra. It has stood in the open air of the Delhi plain for sixteen hundred years and it is not eaten away.
The explanation, established by R. Balasubramaniam at Kanpur in a series of papers around 2000, is a three-stage passivation. The iron has an unusually high phosphorus content, roughly a quarter of a percent against hundredths of a percent in modern structural steel, and it carries slag inclusions from the solid-state bloomery process. Initial corrosion enriches the metal-scale interface with phosphorus, which catalyses the formation of a compact amorphous oxyhydroxide layer; the alternating wet and dry of the Delhi year then converts this to a crystalline iron hydrogen phosphate hydrate of very low porosity, sealed against the metal. The rust becomes the armour.
Modern steelmaking removes phosphorus deliberately, because it embrittles. The smiths at Mehrauli were not working from a phase diagram. They were working from a process, refined by generations of trial, that selected a particular ore and a particular forge-welding technique, and the process encoded the chemistry. The object is a working demonstration that a craft tradition can arrive at a materials solution that laboratory science takes fifteen centuries to explain.
And they made it by forge-welding lumps of bloomery iron together, horizontally, into a six-tonne monolith, at a date when the largest iron object in Europe was a sword.
Wootz
The crucible steel of south Bharata, called ukku in Kannada and Telugu and wootz in the English of the traders, was made by sealing iron with a controlled quantity of carbonaceous matter in a clay crucible and holding it at temperature for hours, then cooling slowly. The result is a high-carbon steel with a distinctive microstructure of aligned carbide bands, which on forging and etching produces the watered pattern of the Damascus blade.
The trade route is unambiguous: the ingots went west from the Deccan through Persia to Damascus, where the blades were forged. Europe knew the blades and could not make them, and did not make them until the alloy metallurgy of the nineteenth century, when Michael Faraday, whose father-in-law was a silversmith with wootz samples, spent years trying to reproduce it and failed.
Bronze and the lost wax
The Cola bronzes are not castings in the ordinary sense. The image is modelled in wax over a clay core, invested in fine clay, heated to run the wax out, and filled in a single pour. There is no correcting a mistake and no reworking a flaw; the mould is broken to release the image and cannot be used again. Every surviving Cola bronze is a first and only attempt.
The Nataraja is the hardest object of the kind ever attempted anywhere. A figure balanced on one foot, one leg raised across the body, four arms extended into space at different angles, a ring of flame encircling the whole and joined to it at three points, hair flung outward in separate strands, all in one pour, all of it correct in the metallurgy so that the thin sections fill and the thick sections do not shrink and crack, and all of it in exact conformity with the proportional canon of the silpa texts. They made hundreds.
Selected material and technical achievements with dates and comparanda
| Achievement | Site or source | Date | Comparison |
|---|---|---|---|
| Dental drilling of living patients | Mehrgarh | 7th millennium BCE | No comparable evidence elsewhere |
| Standardised binary weight series | Sindhu-Sarasvati sites | 3rd millennium BCE | Metrology unmatched in scale |
| Covered civic sewerage | Mohenjo-daro, Dholavira | 3rd millennium BCE | Rome achieves comparable civic drainage much later |
| Crucible steel | Deccan | Early centuries CE | Reproduced in Europe in the 19th century |
| Rust-passivated wrought iron monolith | Mehrauli pillar | 4th century | Explained by metallurgy only in 2000 |
| Zinc by downward distillation | Zawar | Industrial from 9th century | Europe from 1738 |
| Single-pour lost wax Nataraja | Cola country | 10th to 12th centuries | Technically unequalled |
VII. The Body Opened
The Susruta Samhita is a surgical text and it is unlike anything else in the ancient world. It describes over a hundred and twenty instruments and some three hundred procedures, classified by operation type: incision, excision, scarification, puncture, probing, extraction, drainage, suturing.
It teaches practice on models before practice on patients, and the list is a teaching curriculum of considerable sophistication: incision on a gourd or a melon, scarification on a hide with the hair on, puncture on the vein of a dead animal or a lotus stalk, probing on worm-eaten wood, extraction on the seeds of a jackfruit, suturing on two pieces of cloth. It requires the study of the body by dissection, and gives a method for it. It describes cataract couching, lithotomy for bladder stone, the management of fractures with splints and traction, the drainage of abscesses, obstetric procedures including the removal of an obstructed foetus, and the classification and treatment of wounds by type.
And it describes the reconstruction of an amputated nose using a pedicled flap of the patient's own skin, raised while still attached so that its blood supply is maintained, rotated into position and sutured, with two tubes to hold the nostrils open while it heals.
The transmission of that one procedure into modern medicine is documented step by step, and it is the cleanest single instance of a pattern that recurs across every field Bharata worked in.
In 1792, during the Mysore war, a bullock-cart driver named Cowasjee, working for the English army, was captured by Tipu's forces; his nose and one hand were cut off. A year later, in Poona, a local surgeon reconstructed the nose using a flap raised from the forehead. Two British surgeons at the Residency, Thomas Cruso and James Findlay, watched, wrote the procedure down step by step and had it drawn. It appeared in the Madras Gazette and was reprinted in the Gentleman's Magazine of London in October 1794, with an engraving, and with the observer's remark that the operation was common in that country and had been practised from time immemorial.
The man whose forces performed that mutilation is still occasionally offered as a patriot who resisted the British. He was nothing of the kind. Tipu Sultan fought the English for the survival of his own dynasty, and he fought Travancore, Coorg, the Marathas and the Nizam with precisely the same object. Inside his own territory his record is the record of a bigot: the deportation and forced conversion of the Kodavas of Coorg; the seizure of tens of thousands of Mangalorean Christians and their removal to Srirangapatna, where very large numbers of them died; forced conversion and the destruction of temples across Malabar. And he wrote to Zaman Shah of Afghanistan urging him to invade Bharata from the northwest and join him. A ruler who invites an Afghan army into this country is not defending it. He was a tyrant, and the resistance to the English in the south was carried by people he was busy mutilating.
Joseph Constantine Carpue, a London surgeon, read it. He then spent twenty years satisfying himself about the method before performing it in England on 22 October 1814. It worked. He published in 1816, the technique spread across Europe under the name of the Indian method, and by the end of the century over a hundred and fifty such operations had been done in Europe. The forehead flap remains the standard reconstruction for a major nasal defect in plastic surgery today. It is taught in every teaching hospital on earth.
Modern plastic surgery does not descend from ancient Indian surgery by some vague influence. It descends from one operation, watched by two Englishmen in Poona in 1793, and written down.
The name that survives in the record is the patient's. Cowasjee was painted, engraved and reprinted across Europe. The surgeon who actually did the work was not named by the observers and is unknown to this day. A colonial press had every reason to make the mutilated Indian the subject of the story and none at all to make the brilliant Indian its subject.
The Caraka Samhita, on the medical side, is equally striking for its method rather than its content. It sets out the conditions of a valid clinical trial, the qualifications of the physician, and the ethics of the profession, and it contains a full treatment of debate: how a physician should argue with another physician, what constitutes a legitimate objection, when a discussion is being conducted in good faith and when it is not. It distinguishes the friendly discussion undertaken to arrive at truth from the hostile one undertaken to win, and gives rules for both. A medical treatise that includes a chapter on the theory of disputation says a great deal about the civilisation that produced it.
Variolation against smallpox was practised systematically in Bharata by an inoculating caste of practitioners who travelled a circuit, using material from the previous year's mild cases, with a regime of diet and cold bathing around the procedure. J. Z. Holwell described the practice in detail to the College of Physicians in London in 1767, noting its antiquity and its low mortality. Europe adopted variolation and then, in Jenner's hands, improved on it with cowpox. The antiquity of the Indian practice rests on the testimony of observers like Holwell rather than on an independent early text, and has been questioned on that ground. That it was long established, systematic and widespread by the time Europeans described it is not in question.
VIII. The Mountain Carved Downward
Kailasa
At Ellora, in the eighth century, under the Rastrakuta king Krsna I, men decided to build a temple by removing everything that was not the temple.
They began at the top of a basalt hillside and cut downward. Three trenches were driven into the rock to isolate a mass; then the mass was carved, from its roof to its floor, into a complete Dravida temple with a gateway, a Nandi shrine, two free-standing columns, a pillared hall, a sanctum, a vimana rising nearly thirty metres, a surrounding cloister of cells, and a full programme of monumental sculpture including a life-size elephant colonnade at the base that appears to carry the entire structure.
It is one stone. There is no joint anywhere, because there is nothing that was ever separate. Estimates of the rock removed run to two hundred thousand tonnes.
That method demands something particular. In ordinary building, an error is corrected by taking the block out and putting another one in. Here there is nothing to put in. Every cut is final, and the cutting proceeds top down, which means the entire finished form, including the interior spaces two storeys below and the sculptural programme on surfaces not yet exposed, must have existed completely and accurately in the minds of the designers before the first blow was struck. There is no drawing that could carry that information. There was a canon, a system of proportion in the silpa texts by which a whole building can be generated from a single module, and there were men who held the whole of it.
Brhadisvara
At Thanjavur, Rajaraja Cola completed in 1010 a temple whose vimana rises sixty-six metres, the tallest in Bharata, built of granite in a region with no granite, hauled from quarries fifty kilometres and more away.
The tower is a hollow corbelled pyramid of dressed granite laid without mortar, held by weight, precision of fit and interlocking. On top of it sits a single dome-shaped capstone whose weight is estimated at up to eighty tonnes. How it was raised is not recorded; the persistent local tradition of a ramp several kilometres long is a plausible reconstruction and no more. The claim, endlessly repeated, that the vimana's shadow never falls on the ground is not true as usually stated, and does not need to be; the building is astonishing without it.
What deserves more attention than the engineering is the archive. The temple walls carry inscriptions recording the endowment in the manner of a public account: the land granted, the villages assigned, the exact quantity of gold and silver and jewels given and by whom, the names and native villages of four hundred dancers settled in the streets around the temple, the names of musicians, drummers, accountants, watchmen, potters, tailors, astrologers, and the precise measure of paddy each was to receive. Rajaraja had the accounts of his foundation cut into stone so that they could be checked. That is a conception of public administration.
The rest of it
Konarka, where a temple was conceived as the sun's chariot, twenty-four wheels of three metres diameter carved along the plinth, each an accurate sundial whose spokes and axle cast time to the interval of a few minutes, drawn by seven stone horses.
Halebidu and Belur, where the Hoysalas worked in chloritic schist, soft when quarried and hardening on exposure, and used the property to carve in a density that has no parallel: figures at the scale of a hand, jewellery on those figures with individual strands, and lathe-turned pillars whose bell profiles are true surfaces of revolution.
Ranakpur, where the Adinatha temple carries 1,444 marble pillars and no two are carved alike, arranged so that from any point in the hall the view of the central image is unobstructed.
Rani ki Vav at Patan, a stepwell seven storeys deep and sixty-five metres long, inverted architecture descending into the earth with over five hundred principal sculptures on its walls, built by a queen in memory of her husband as a piece of public water infrastructure that is also one of the finest sculptural programmes in the country.
Ajanta, where the caves were cut into a basalt scarp and painted in a technique using a mud and vegetable-fibre ground, a lime finish and mineral pigments, producing modelling of the human figure with a mastery of foreshortening and of tonal gradation that Europe would not reach until the Renaissance.
Hampi, where the Vitthala temple's mandapa carries slender granite colonnettes, cut with the shaft, that ring at different pitches when struck.
The silpa and vastu literature, in the Mayamata, the Manasara, the Samarangana-sutradhara and their relatives, is a technical corpus of genuine engineering content: soil testing, foundation depths, proportional systems generated from a module derived from the yajamana's own measure, timber selection and seasoning, iconometric canons giving the proportions of every figure by type, and the geometry of the vastu-purusa-mandala from which a plan is laid out. These are not mystical documents. They are the codified practice of a profession, and they were followed.
IX. Water, Grain, and the Republic of the Village
The temples get the photographs. The waterworks were the greater achievement, and they were the reason the temples could be paid for.
Peninsular Bharata has a monsoon that delivers most of its water in a few weeks and a terrain that will not hold it. The response, developed over centuries and reaching its height under the Colas and at Vijayanagara, was the tank cascade: chains of embanked reservoirs following the contour, each overflowing into the next, with sluices calibrated to release measured quantities, feeding a distribution network of channels down to the individual field. Tens of thousands of these were built. Many are still in use.
At Vijayanagara the system was on the scale of a modern hydraulic project: the Kamalapuram tank, the great aqueducts, the Turuttu canal running for kilometres along a contour cut into rock, the Hiriya canal still carrying water to fields today after five hundred years. Domingo Paes, a Portuguese who saw the capital in the 1520s, described a tank so large that he understood a king would need to move a hill to make it, and reported the work as employing enormous numbers of men.
And these systems were operated by village bodies, which brings us to the most under-reported fact in Indian political history.
Uttaramerur
On the walls of a mandapa in a village in the present Kanchipuram district are cut two long inscriptions from the reign of Parantaka Cola I, dated to his twelfth and fourteenth regnal years, about 919 and 921. They set out, in exhaustive procedural detail, how the village governs itself.
The village is divided into thirty wards. Each ward puts forward names for the committees. The qualifications are stated precisely: a candidate must own a stated minimum of tax-paying land, must live in a house built on his own site, must fall within a stated age range, must be learned in the mantras and the Brahmanas. Disqualifications are stated with equal precision: anyone who has served on a committee and not submitted his accounts is barred, and so are his near relatives, by a list of relationships that runs to a dozen entries; anyone convicted of certain offences is barred; anyone who has taken what belongs to others is barred.
The names of the qualified are written on palm-leaf tickets. The tickets are put in a pot. A young boy, chosen for the purpose, draws them out in front of the whole assembly. The drawn names constitute the committees. Separate committees handle the annual administration, the tanks and irrigation works, the gardens, the gold, and the settlement of disputes. Committees serve fixed terms. Accounts are audited, and failure to render them ends a family's eligibility for generations.
The reasonable objection is that the franchise was restricted by property and learning, and it was. Every historical polity restricted it, including the one that produced the Magna Carta three centuries later and the one that produced the American constitution eight centuries later. The point is not that this was a modern democracy. The point is that a tenth-century village had written rules for selection, defined disqualifications, term limits, functional committees, and compulsory audit as a condition of continued eligibility, and had them cut into stone so that any villager could check them against practice.
That is the substrate on which the great kingdoms sat. Dynasties rose and fell above it and the villages went on running their own tanks, their own temples, their own courts and their own accounts. It is one of the reasons the civilisation proved so hard to kill: the load-bearing structure was not at the top.
X. The Kingdoms
A civilisation is not only its ideas. It is also what it could organise, and Bharata organised on a scale that Europe did not approach until the modern period.
The Mauryas held a territory from Afghanistan to Karnataka with a treasury, a census, a network of spies, a standing army and a body of administrative theory, the Arthasastra, which discusses statecraft with a coldness that has caused Western commentators to reach for Machiavelli, sixteen centuries too late, as the comparison. Asoka's edicts are the oldest deciphered writing in Bharata after the Sindhu script, cut on rock across the subcontinent in the local vernaculars so that they could be read where they stood.
The Guptas presided over the period in which Kalidasa wrote, Aryabhata computed, the Nalanda foundation was laid, and the decimal notation matured. The empire ran a gold coinage of extraordinary artistic quality and a system of land grants that made local endowment the engine of learning.
The Colas built the only Indian thalassocracy. Rajaraja and Rajendra ran a navy that took the Maldives and Lanka and, in 1025, crossed the Bay of Bengal against Srivijaya. That expedition deserves a straight word, since it is the standard counter-example produced whenever anyone observes that Bharata did not go abroad conquering. The Cola fleet went to break a maritime power that was interfering with the passage of Indian shipping to China, and it did break it. What it did not do is what every other empire in the world did as a matter of course: it did not annex, it did not settle a colony, it did not impose a religion, it did not destroy the temples of the defeated, it did not dismantle the local dynasty. The rulers of Srivijaya continued to rule. The Colas came home.
Vijayanagara held the south against the Sultanates for two centuries and made its capital the second largest city on earth. Abdur Razzaq, ambassador of Timur's grandson Shah Rukh, saw it in 1443 and reported that his eye had seen no place like it and his ear had heard of none. Paes and Nuniz described a city with seven rings of fortification, bazaars with jewels sold in the open street by weight, and a scale of prosperity they had no European comparison for. In January 1565 the city was taken and destroyed; the sack lasted months.
The Ahoms held Assam against the Mughals for six centuries and beat them repeatedly, most famously when Lachit Barphukan destroyed a vastly larger force on the Brahmaputra at Saraighat in 1671.
And then the Marathas.
Sivaji Maharaj took a landscape of hill forts and a population that had been told for three centuries that Sanatana sovereignty was finished, and built Hindavi Svarajya out of it. The coronation at Raigad in 1674, conducted with full Vedic rite, was a constitutional act: it asserted that legitimate sovereignty in this land derives from dharma and not from any farman issued at Delhi or Agra. He built a navy, which no Indian power had done in centuries, precisely because he saw what was coming from the sea. Sambhaji Maharaj was captured in 1689 and tortured to death over more than a fortnight for refusing to convert, and the effect of that death was the opposite of what Aurangzeb intended: the Maratha state did not collapse, it dispersed and fought a twenty-seven-year war that consumed the Mughal empire's treasury, its army and finally its emperor.
Within fifty years of Aurangzeb's death the Maratha writ ran from the Kaveri to the Indus. Chimaji Appa took Vasai from the Portuguese in 1739 and ended the Inquisition's reach in the northern Konkan. Ahilyabai Holkar spent three decades of her rule rebuilding what had been broken: Kasi Visvanatha, Somanatha, Grsnesvara, Vishnupad at Gaya, ghats, wells, dharmasalas, roads, the length and breadth of the country, from her own treasury, for temples in regions she did not govern.
The Marathas were not raiders. They were the reconquest. Every chronicle that calls them plunderers was written by a court that was losing to them, or by an empire that wanted their descendants taught it.
The Sikh Panth belongs in the same account and by the same logic: Guru Tegh Bahadur went to Delhi and gave his life in 1675 not for his own community but for the Kashmiri Brahmanas being forcibly converted, which is an act with no parallel in the religious history of the world. Banda Singh Bahadur, the Misls, and Ranjit Singh's kingdom carried the northwest frontier back through the Khyber, and Hari Singh Nalwa held it, closing for good the pass through which a thousand years of invasion had come.
XI. As Others Saw Her
The strongest evidence about a place is often the testimony of people with no interest in flattering it.
Megasthenes was at Candragupta's court at Pataliputra around 302 before the common era as the ambassador of Seleucus, a defeated rival. His Indika survives in fragments quoted by Strabo, Arrian and Diodorus, and what he reports is worth stating precisely, because it is routinely misused.
He describes seven groups in Indian society, not four, and states explicitly that they do not intermarry or change occupation, with the exception of the philosophers. Seven. Not four varnas. Whatever he was looking at, it was not the fourfold scheme, and it was certainly not the thing the nineteenth century would later call caste.
He reports that no Indian is a slave. He reports that the Indians have never sent an army outside their own country, and have never been invaded by anyone but Dionysus and Herakles, by which he means figures of his own Greek tradition and effectively means nobody. He reports that they do not lock their doors, that they have no written contracts, that disputes over deposits are unknown, and that theft is very rare. He reports on the arrangements for the safety of foreigners: officers assigned to look after them, to escort them, to see them home, and to see their property returned if they die.
Fa-Hien walked from China and spent years in Bharata in the early fifth century. He found the country of Madhyadesa peaceful, the people numerous and happy, no registration of households and no magistrates with their rules, no capital punishment, offenders fined according to circumstance, and free rest-houses and dispensaries on the roads maintained by the wealthy for travellers and for the sick, where medicine and food were given without charge.
Xuanzang came in the seventh century and stayed for over a decade, most of it studying at Nalanda, which he describes as an institution with thousands of resident students and hundreds of teachers, a rigorous entrance examination that turned most applicants away, and daily schedules of formal debate in which any doctrine could be challenged by anyone.
Al-Biruni came in the eleventh century in the baggage train of Mahmud's plundering, and learned Sanskrit and read the sastras in the service of a court that was carrying the country away by the cartload. His judgements on what he found are frequently contemptuous. He carries weight for exactly one reason: a hostile witness travelling with the looters has no motive whatever to inflate what he saw, and on the astronomy and the mathematics he is precise, and he sets down that the Indians surpassed his own people in both.
Ibn Battuta, Marco Polo, the Venetian Nicolo Conti, the Russian Afanasy Nikitin, the Portuguese Paes and Nuniz, the Frenchmen Tavernier and Bernier: a five-hundred-year run of observers with completely different agendas, all reporting the same thing about the material condition of the country, which is that it was extraordinarily rich, its cities large, its manufactures unmatched, its diamonds and its textiles the object of the world's demand.
The numbers bear them out. Angus Maddison's reconstruction of world output puts Bharata's share of global product at roughly a quarter to a third for most of the two thousand years to 1700. Paul Bairoch's estimates give Bharata about a quarter of world manufacturing output in 1750.
Bharata's share of world output, from Maddison and Bairoch
| Year | Share of world product | Note |
|---|---|---|
| 1 CE | About 32 per cent | Larger than the whole Roman empire |
| 1000 | About 28 per cent | Before the Turkic invasions |
| 1700 | About 24 per cent | Roughly equal to all of Europe |
| 1750 | About 25 per cent of world manufactures | Bairoch series |
| 1900 | Under 2 per cent of world manufactures | After a century of British rule |
| 1950 | About 4 per cent of world product | At independence |
That is the arithmetic of what happened. A quarter of the world's economy does not fall to two per cent because of the weather.
XII. The Sound That Was Never Lost
An error-correcting code, built out of human beings
The Rgveda is the oldest surviving composition in any Indo-European language. It was transmitted orally for millennia before it was written, and here is the thing that ought to stop every reader: the oral transmission is more accurate than the manuscript tradition. Manuscripts of the Mahabharata diverge across regions. The Rgveda does not. Reciters separated by two thousand kilometres and a thousand years produce the same text, syllable for syllable, accent for accent.
That is not a natural property of memory. It is engineered.
The engineering is the sequence of pathas. In samhita-patha the text is recited as continuous connected speech. In pada-patha every word is separated out, undoing the euphonic combination at the joints, so that the underlying word-forms are exposed. Then come the permutation recitations. Krama takes the words in overlapping pairs: 1-2, 2-3, 3-4. Jata takes each pair forward, backward, and forward again. Ghana takes a still more elaborate braid: 1-2, 2-1, 1-2-3, 3-2-1, 1-2-3.
The function of these is structural. In an ordinary linear recitation, a dropped word is a silent loss. In krama, every word appears twice, in two different contexts. In jata, every word appears in both orders. In ghana, every word is locked into a lattice of relationships with its neighbours, and a single alteration anywhere breaks the pattern audibly in several places at once. Redundancy is deliberately introduced so that corruption becomes detectable and correctable.
This is, in the exact technical sense, an error-correcting code, implemented across generations in the memories of human beings. It was designed by people who understood the problem of transmission over a noisy channel and solved it about three thousand years before Claude Shannon named the problem.
Attached to it is the discipline of siksa, the phonetics of exact articulation, which analyses every sound by place of production, manner, effort and voicing, and gives the Sanskrit alphabet its ordering, which is not arbitrary as the Latin alphabet is but is a systematic table: the stops arranged by place of articulation from the back of the throat to the lips, and within each place by voicing and aspiration. Any student of phonetics recognises this immediately as a phonetic chart. It is two and a half thousand years old.
Panini
And then, around the fifth or fourth century before the common era, in Salatura in the northwest, a man wrote a grammar of Sanskrit in 3,959 sutras which is arguably the most remarkable single intellectual artefact produced by any pre-modern civilisation.
The Astadhyayi is not a descriptive grammar of the kind Europe wrote until the twentieth century, a book of observations and paradigms. It is a generative device. It consists of an inventory of roots and affixes, a set of metarules governing how the rules themselves interact, and a body of ordered rewriting rules which, applied to an underlying representation, derive the correct surface form of any word in the language. It uses a system of technical markers and abbreviatory symbols so compressed that the whole grammar of the most morphologically complex classical language in the world fits in something like the space of a modest pamphlet. It handles rule conflict by an explicit ordering principle in which the more specific rule blocks the more general.
Twentieth-century linguistics recognised what this was as soon as it was in a position to. The formalism of ordered rewriting rules with an underlying and a surface representation is exactly the architecture generative grammar arrived at in the 1950s and 1960s. The formal notation used to specify the syntax of programming languages, the Backus-Naur form, is structurally the same device, and Peter Ingerman proposed in a 1967 letter to the Communications of the ACM that it be renamed the Panini-Backus form in acknowledgement of a twenty-five-century priority.
The other five Vedangas around it are of a piece: vyakarana the grammar, nirukta the etymological and semantic analysis, chandas the metrics, jyotisa the astronomy for calendrical computation, kalpa the ritual procedure. Taken together, they constitute a complete apparatus for the preservation and correct use of a body of text, developed as a system, and there is nothing remotely comparable anywhere else in the ancient world.
XIII. Where the Other Religions Stop
The question they do not ask
Here is a difference that is rarely stated plainly, and it is not a matter of preference but of scope.
The Abrahamic religions answer one question about the human situation, and answer it in the same shape: the human being is a creature, it has one life, at the end of that life it is judged, and it is consigned to a permanent condition. The variations are real but they are variations on that structure. Belief is the operative faculty. The book is closed. Dissent from it has a name, and the name is heresy, and there is a history of what was done to heretics.
Sanatana Dharma addresses a different and larger set of questions, and it addresses them as questions.
What is the thing that is aware? Is it the body? Plainly not, since the body of the child and the body of the old man share no matter and the awareness is continuous. Is it the mind? Plainly not, since the mind is intermittent; it is absent in deep sleep, and yet the sleeper wakes and reports that he slept well, which is a report of an experience, which requires a witness who was present throughout. Is it the sense of individual identity? Also not, since that too varies and is absent in deep sleep.
What survives the three states of waking, dreaming and dreamless sleep? What was present before this body and will be present after it? Is that thing plural or single? If it is single, what is its relation to the ground of all being?
These are the questions of the Upanisads, and they are pursued by argument.
अजो नित्यः शाश्वतोऽयं पुराणो न हन्यते हन्यमाने शरीरे ॥
ajo nityah sasvato yam purano na hanyate hanyamane sarire
The Gita takes the same verse almost word for word and adds the image that has done more work than any other in Indian thought.
तथा शरीराणि विहाय जीर्णान्यन्यानि संयाति नवानि देही ॥
tatha sarirani vihaya jirnany anyani samyati navani dehi
The body is a garment. It has a shape, a duration and a use. It is not the wearer. Everything follows from taking that seriously: the whole apparatus of karma as a description of moral causation extended across lives, the account of birth as the taking of a form suited to what is unresolved, the possibility of an end to the process that is not annihilation but recognition.
Yajnavalkya and Maitreyi
In the Brhadaranyaka, Yajnavalkya prepares to leave household life and proposes to divide his property between his two wives. Maitreyi asks the question the whole tradition turns on: if the entire earth filled with wealth were mine, would I become immortal by it?
He tells her no. There is no hope of immortality through wealth.
And then she asks him to teach her what he knows. What follows is one of the summits of philosophy in any language: that the husband is not dear for the sake of the husband but for the sake of the self, and the wife not for the wife's sake but for the self's, and wealth and the worlds and the gods and all beings likewise; that the self is to be seen, heard, reflected upon and meditated upon; and that when everything has become the self, there is no second, nothing other by which to see, hear, know.
That a woman is the interlocutor in this dialogue is not incidental, and neither is Gargi Vacaknavi, who in the same text stands up in the assembly at Janaka's court and interrogates Yajnavalkya so relentlessly about the ground of things that he finally warns her that her head will fall off if she asks beyond what may be asked. He does not tell her to be silent because she is a woman. He tells her she has reached the limit of what inference can establish. She sits down, and then addresses the assembly to say that none of them will beat this man in debate. No contemporary civilisation has a philosophical literature in which a woman occupies that position.
Advaita
Sankara's achievement, working on the prasthana-trayi of Upanisads, Gita and Brahma-sutras, was to show that the apparent contradictions in the sruti resolve under a single reading: that Brahman alone is real, that the world of multiplicity is a superimposition, and that the individual self is not similar to Brahman, or a part of Brahman, or united with Brahman, but is Brahman, the appearance of separateness being a case of mistaking one thing for another.
The instrument is adhyasa, superimposition, and the standard illustration is the rope taken for a snake in bad light. The fear is real, the racing heart is real, the leap backward is real. The snake is not. And the snake is not removed by killing it, or by prayer, or by any action at all; it is removed by seeing the rope. It never existed to be removed. Bondage, on this analysis, is not a condition to be escaped but an error to be corrected, and the correction is knowledge.
What is being offered here should be marked precisely. Not a reward for obedience. Not a place after death. A correction of a present error, available now, to anyone who will do the work, requiring no intermediary, no membership, no confession of belief and no permission.
A religion states what happens after death. Sanatana Dharma asks who it is that dies, and will not accept an answer that cannot survive examination.
And because the answer is that the atman is unborn, undying and all-pervading, the ethical consequence is immediate and is not an add-on. If the same reality is the self of all, then the injunction to non-injury is not a commandment issued from outside but a statement of fact about the situation. This is why ahimsa in this tradition extends to animals, to trees, to water, to the earth. It is not sentiment. It is the applied form of a metaphysical claim.
तेन त्यक्तेन भुञ्जीथा मा गृधः कस्यस्विद्धनम् ॥
tena tyaktena bhunjitha ma grdhah kasyasvid dhanam
XIV. Debate as Dharma
Purva-paksa
There is a structural feature of the Indian sastra tradition that has no counterpart anywhere else, and it is the central fact about how this civilisation thinks.
Before a text may state its own position, it must state the opponent's position. That is the purva-paksa, the prior view. And the rule of the genre, universally observed, is that the purva-paksa must be stated in its strongest available form. Not a caricature. Not a version selected for its weakness. The best case the opponent can make, often stated better by the opponent's adversary than by the opponent himself, with the objections marshalled in order and given their full weight. Only then comes the uttara-paksa, the answer, and the siddhanta, the settled conclusion.
Sankara's bhasyas run to pages at a time in which he argues the Sankhya position, or the Buddhist position, or the ritualist position, with such force and sympathy that it is not apparent from the text alone whose side the author is on. He is not being generous. He is obeying a rule: an objection that has not been stated in full is an objection that has not been answered.
The consequence is that the entire history of Indian thought is preserved inside the arguments of its opponents. Almost everything that is known about the Carvaka materialists, who held that consciousness is a product of matter, that the Vedas are the work of men, that there is no world after this one, and that the only sensible aim is pleasure, is known because the theistic schools recorded their position in order to refute it, and recorded it accurately. A civilisation that burned its opponents would not have preserved them. This one preserved them because it could not refute them otherwise.
Sastrartha
The formal public debate was an institution with rules, judges, an audience and stakes. The stakes could be very high: the loser might accept the winner's position, or become his student, or accept renunciation.
The tradition remembers Sankara's debate with Mandana Misra, the great ritualist, at Mahismati. It remembers who was appointed judge: Ubhaya-bharati, Mandana's wife, chosen because both parties accepted that she was the most learned person available and neither doubted she would judge honestly against her own husband. She did. And when Sankara had won, she challenged him herself on the one subject his monastic life had left him ignorant of, and he was obliged to concede that he needed time before he could answer her.
The tradition remembers Nyaya, which built a formal logic with a theory of inference, a fivefold syllogistic structure, an analysis of the sources of valid knowledge and a systematic catalogue of the ways an argument can fail. Navya-Nyaya, from Gangesa in the fourteenth century, developed a technical language for expressing relations with a precision that scholars of modern logic have compared to the predicate calculus.
The tradition remembers Sankara's digvijaya as a journey of debates, in which the heterodox schools, remembered as seventy-two in number, were met and answered by argument. Not one of them was met by an army. There was no inquisition, no index of forbidden books, no auto-da-fe, no excommunication, no burning. There has never in the entire history of Sanatana Dharma been an institution empowered to punish someone for wrong belief, for the sufficient reason that there has never been an institution empowered to define right belief.
No blasphemy
The Rgveda itself, in its hymn on the origin of things, ends not with an assertion but with a doubt.
अर्वाग्देवा अस्य विसर्जनेनाथा को वेद यत आबभूव ॥
arvag deva asya visarjanena tha ko veda yata ababhuva
That is in the scripture. Not in a commentary, not in a heretical text, not in the writings of a dissenter. The most sacred body of text in the tradition contains, at its most solemn moment, the admission that the answer may not be knowable and the suggestion that even the one who oversees it in the highest heaven may not know. A tradition whose own scripture models doubt cannot subsequently criminalise it.
And it never did. There is no Sanskrit word for blasphemy, because the concept requires a machinery that was never built. The six orthodox darsanas contradict each other flatly on the nature of the self, the reality of the world, the existence and role of Isvara, the means of valid knowledge and the nature of liberation, and all six are orthodox. The criterion of orthodoxy is not agreement. It is acceptance of the Veda as an authority worth arguing about.
The Cathars were exterminated. The Carvakas were quoted.
This is also why Sanatana Dharma has no missionary structure and never developed one. A tradition that holds the goal to be direct knowledge, arrived at by inquiry, cannot be transmitted by assent to a proposition, and there is therefore nothing to convert anybody to. The absence of conversion is not a failure of nerve or a lack of confidence. It is a logical consequence of the epistemology.
XV. The Household of Three, and the Strangers Who Were Received
The Buddha and Mahavira were not foreigners bringing a new religion to Bharata. They were sramanas of this land, working within its categories, on its questions, in its languages, and disagreeing with prevailing positions in the way that this civilisation had always disagreed. The Buddha's rejection of the atman is a position within an argument that already existed; his four truths use the analytic vocabulary of the tradition; the goal he describes is the goal the Upanisads describe, reached by another route and characterised differently. Mahavira's ahimsa is the tradition's ahimsa taken to its logical maximum.
The three streams then coexisted for two and a half thousand years on the same soil, in the same villages, endowed frequently by the same kings, arguing incessantly, and without religious war. There is no Indian equivalent of the Thirty Years War, the Albigensian Crusade, the wars of the Reformation, the Sunni-Shia conflicts or the sectarian massacres of Europe's early modern period. There were polemics of great ferocity, royal patronage that shifted, periods of decline and revival. What there was not was organised violence to compel belief.
And into this the strangers came.
The Jews arrived in Kerala in antiquity, and around the eleventh century a Cera ruler, Bhaskara Ravi Varman, granted to a Jewish leader remembered as Joseph Rabban a set of copper plates conferring rights, honours and a hereditary position. Those plates are still held by the community. The Jewish population of Cochin lived for something like two thousand years in Bharata, and in the whole of that time not one pogrom, not one expulsion, not one blood libel, not one forced conversion, not one ghetto imposed by the host society. The only persecution the Cochin Jews ever suffered came from the Portuguese, who arrived in the sixteenth century and burned their quarter.
Bharata is the one country on earth of which this can be said. That fact ought to be far better known than it is, and its absence from the standard account of Jewish history is not an oversight.
The Zoroastrians, fleeing the Arab conquest of Persia, landed in Gujarat. The tradition of their reception is preserved in the Qissa-i-Sanjan: the local ruler Jadi Rana sent them a vessel of milk filled to the brim, meaning that his land was full; their priest stirred in sugar and returned it, meaning that they would dissolve into it and sweeten it without displacing anything. They were given land and permitted their fire. The Parsi community became one of the most consequential minorities in the modern history of any country, and its fire temples have burned in Gujarat and Bombay ever since, including a fire the tradition holds to have been carried from Persia and never allowed to go out.
The Syrian Christians of Malabar trace themselves to the first century, and were an accepted part of Kerala society for fifteen hundred years, with rights and honours granted by Hindu kings. Their persecution also began with the arrival of the Portuguese, who found their rites insufficiently Roman and, at the Synod of Diamper in 1599, burned their Syriac books.
The pattern in every one of these cases is identical and it should be stated without softening. Jews, Zoroastrians and eastern Christians all lived unmolested in Bharata for centuries, and in every case the persecution began when Europeans arrived and imposed it. The tolerance was not a fortunate absence of opportunity. It was a positive civilisational disposition, and it was broken from outside.
XVI. What Was Done to Her
The record has to be set down without softening, because the softening is itself part of what was done.
From the eighth century the raids began, and from the eleventh they became systematic. Mahmud of Ghazni conducted seventeen expeditions into Bharata, of which the object was stated by his own court chroniclers: plunder and the destruction of idols. At Somanatha in 1026 the temple was taken, the linga broken, and the wealth carried to Ghazni. Ferishta and the Persian sources give the number killed at the site in the tens of thousands.
The Ghurids followed and stayed. Bakhtiyar Khalji rode into Bihar and took the fortified enclosure that was Odantapuri; Minhaj-i-Siraj, writing in the Tabaqat-i-Nasiri within a generation, records that the Brahmanas of the place were killed, that it was discovered afterwards that the whole thing had been a college, and that the library was so large that nobody was left alive who could read the books. Nalanda, Vikramasila and Odantapuri, three of the largest centres of learning on earth, were destroyed within a few years of each other. The library of Nalanda is reported to have burned for a very long time. The reported figure of nine million manuscripts is a later tradition and cannot be verified; the destruction is not in doubt.
Alauddin Khalji's armies went south and stripped the Deccan and the Tamil country. Malik Kafur reached Madurai. Firoz Shah Tughlaq wrote his own account, the Futuhat-i-Firoz Shahi, in which he describes with satisfaction the destruction of temples and the execution of a Brahmana for practising his rites.
Timur came in 1398, sacked Delhi, and left towers built of severed heads, a practice he had established as doctrine across Asia before he ever reached Bharata.
The Bahmani and Deccan Sultanates fought Vijayanagara for two centuries and in 1565 destroyed the city, its temples systematically defaced, over a sack that ran for months.
Aurangzeb issued the order of 1669 directing the governors of the provinces to demolish the temples and the schools of the infidels and to put down their teaching and religious practices. Kasi Visvanatha was destroyed and a mosque raised over its remains. Kesava Deva at Mathura was destroyed. Somanatha, rebuilt, was destroyed again. The jizya was reimposed in 1679 on a population that had not paid it for over a century. Guru Tegh Bahadur was executed in 1675. Sambhaji Maharaj was tortured to death in 1689 for refusing to convert.
The Portuguese brought a different instrument. The Inquisition was established at Goa in 1560 and ran, with one brief interruption, until 1812. Its jurisdiction extended over converts, and conversion had frequently been produced by pressure, so that the tribunal's business was largely the punishment of Indians for continuing to observe the practices of their ancestors. Cooking without onion and garlic, wearing a dhoti, refusing to eat pork, using turmeric at a wedding, keeping a tulsi plant: these were matters for the Holy Office. The proceedings were secret, the accused was not told the charge or the accuser, and the sentences included confiscation, imprisonment and burning at the stake. The records of the tribunal were destroyed when it was abolished, which tells its own story about what was in them.
And the temples fell in the thousands. Not as collateral damage in war, but as the object of the exercise, recorded as such by the chroniclers of the men who did it, who saw no reason to conceal what they were proud of.
The evidence for the destruction of Sanatana Bharata is not the complaint of the victims. It is the boast of the perpetrators, written down by their own historians, in their own words, for their own glory.
XVII. The British Century
The English arrived as a chartered trading corporation and used commerce as the garb for conquest. That is not a polemical characterisation; it is the sequence of events. A licence to trade became a fortified factory, the fortified factory became a private army, the private army became, at Plassey in 1757, the arbiter of the succession in Bengal, and within a decade the Company had its hands on the revenue of the richest province in the country.
What followed was not misgovernment. It was extraction operating as designed.
The Bengal famine of 1770 killed something in the order of ten million people in the first decade of Company rule over the province, and through it the Company did not reduce its revenue demand but raised it. The famines of 1876 to 1878, 1896 to 1897 and 1899 to 1900 killed tens of millions more, and in each of them grain was exported from Bharata while Indians starved, because the doctrine held that the market must not be interfered with and that relief would encourage dependence. Richard Temple's relief ration in 1877 was set at a level below what was later issued in the Nazi concentration camps. The Bengal famine of 1943 killed some three million people while Churchill's war cabinet refused shipping for relief and diverted Australian grain past Indian ports.
These were policy outcomes. The rains failed as they had always failed; what was new was a revenue system that had destroyed the local granary and the local obligation, an export trade that removed food from a starving country, and an ideology that treated mass death as the operation of natural law.
The economic destruction is measurable and has been measured. The deindustrialisation of Bengal was deliberate: Indian textiles were taxed out of the British market while British cloth entered Bharata at nominal duty, and the finest textile manufacture in the world was destroyed in two generations. A quarter of world manufacturing output fell below two per cent. The drain, in the estimates of Dadabhai Naoroji and R. C. Dutt and in the modern reconstructions, ran to a sum that financed Britain's own industrial rise.
And the railways, which are always produced at this point, were built under a guarantee of five per cent return to British investors charged against Indian revenues, on routes laid out to move raw material to ports and troops to trouble, at a cost per mile far above the world average, using British iron and British engineers, with the profits going out and the losses staying in. They were not a gift. They were an invoice.
The manufacture of caste
The most durable damage was not economic. It was the rewriting of Bharata's understanding of itself.
The word caste is not an Indian word. It is Portuguese, casta, meaning breed or lineage, applied by sixteenth-century observers to something they did not understand. There is no Sanskrit equivalent, because there is no such thing in the sastra. What the sastra knows is varna, a functional order of society, and jati, local community and occupation, fluid, regionally specific, and negotiated.
Megasthenes, at the Mauryan court, counted seven groups, not four, and reported that membership was not by birth. That is the earliest foreign account there is, and it does not describe caste.
What produced caste as it is now understood was administration. From 1871 the British census required every Indian to be enumerated in a single fixed category, ranked in a hierarchy, on a form. H. H. Risley's Ethnographic Survey then attempted to fix these categories anthropometrically, by measuring noses, on an explicit theory of racial gradation. James Prinsep's earlier count at Benares in 1843 had returned one hundred and seven categories in a single city, which is not an observation of a social structure but an artifact of a man with a form asking a question that had no single answer. Nicholas Dirks has documented in detail how the census did not record a social reality but constructed one, hardening what had been fluid into something rigid, enumerated and permanent, and generating the competitive politics of category that followed.
The British had every reason to do this. A population divided into thousands of ranked, mutually resentful and legally distinguished compartments cannot combine against its rulers. And a civilisation persuaded that its own scriptures are the source of its degradation will do the work of dismantling itself.
The same logic explains the specific and sustained attack on the Brahmanas and on Sanskrit. The Brahmana was the transmitter: the memory, the teaching, the manuscript, the rite. Break the transmitter and the transmission stops. Macaulay's minute of 1835 set the policy explicitly, to form a class Indian in blood and colour but English in taste and opinion and intellect, and the educational apparatus built on it removed Sanskrit from the centre of Indian learning and replaced Bharata's account of herself with the account written by her occupiers. The Brahmana was then simultaneously stripped of his function and blamed as the author of an oppression the census had invented.
And the Indian National Congress was founded in 1885 through the offices of A. O. Hume, a retired British civil servant, as a channel through which Indian political feeling could be managed, expressed and contained rather than allowed to become dangerous. What it later became is a separate matter. What it was at its origin is a matter of record.
XVIII. Why She Did Not Break
Now the question can be answered.
There was no single point of failure. Christianity has a Pope, a Vatican, a canon and a council. Islam has a book with a single authorised text and a doctrine of its inimitability. The Zoroastrian, Manichaean and Mesoamerican traditions had central priesthoods and central temples. Take the centre, and the structure falls. Sanatana Dharma has no founder, no single book, no pope, no council, no canon, no city whose fall ends it. The destruction of Somanatha and Kasi and Mathura and Nalanda and Vikramasila destroyed some of the greatest achievements of the civilisation and did not touch the thing itself, because the thing itself was distributed.
The library was in people. A library can be burned. A tradition held in the memories of tens of thousands of men in villages across a subcontinent, encoded with error correction so that it can be checked against itself, cannot be burned, because there is no building to burn. The invader can kill the reciters in a district. He cannot kill them in every district. And the moment the pressure lifts, the text is recopied from those who still hold it.
The unit of transmission was the household. The temple could be levelled, the matha suppressed, the school closed. The daily rite is performed at home, at dawn, by a man and his wife, and it does not require a building or a clergy or a state. The samskaras that mark birth and initiation and marriage and death are domestic. The festivals are domestic. An occupier who wants to stop this must enter every house in Bharata simultaneously and forever, and no occupier has ever had that power.
The tradition had already answered the objections. A system with a two-thousand-year habit of stating its opponent's case in the strongest form and answering it is not disturbed by encountering a new opponent. When the missionaries arrived with their arguments, they found a tradition that had been conducting exactly that kind of argument continuously since before Rome was founded, and that had within its own canon materialists, atheists, sceptics, ritualists, logicians and dualists who had already pressed harder. There was no shock, because there was nothing that had not been asked.
There was nothing to defect from. Conversion out of a creed is a defined act because membership is a defined state. Sanatana Dharma has no membership. A man who stops believing in a personal Isvara has not left; he has become a Sankhyan, or a Mimamsaka, and both are inside. This makes the tradition almost impossible to attack at the point where creeds are vulnerable.
She fought back, every time. This is the part most often omitted, and it is the most important. Bharata was never passive. The Rajputs fought for centuries. Vijayanagara was built specifically as a response to the destruction of the south. Ahilyabai rebuilt the temples that had been broken. The Marathas took the reconquest to Delhi itself and broke the empire that had broken the temples. The Sikhs closed the Khyber. The Ahoms held the east. Every century of the occupation has its resistance, and the resistance was not merely military; it was also the rebuilding, the recopying, the re-endowment, the reconsecration, done immediately and repeatedly and at enormous cost.
And the fire was never allowed to go out. That is not a metaphor. In Kerala, in Tamil Nadu, in Maharashtra, in Kasi, there are households where the srauta fires have been maintained without extinction across the entire period of the occupation, kindled from the fire that came before, tended through the destruction of everything around them. That is the shape of the whole civilisation in miniature.
They broke the temples. They could not break the household. They burned the libraries. They could not burn the memory. They took the throne. They could not take the fire.
XIX. Seventy-Nine Years, and the Measure That Does Not Apply
The arithmetic of a modern state
On the fifteenth of August 2026 the Republic completes seventy-nine years since the occupation ended. It is a real date, it was bought at a price, and it deserves its flags. It is also, set against the thing being celebrated, very nearly nothing.
Seventy-nine years is the age of an administrative arrangement. A constitution, a parliament, a tricolour, a seat at the United Nations, and a set of borders drawn in six weeks by a departing power through a man who had never before set foot in the country and never returned to it. Those are the instruments of a modern state, and modern states are recent objects. Almost every one of them now on earth is younger than the granite of the Brhadisvara.
The civilisation that the Republic administers cannot be dated in that register at all, and the attempt produces immediate absurdity. The reciter standing in the Ganga is performing a text older than every nation now in existence. The furnaces at Zawar were condensing metal while England was a quarrel of earldoms. Uttaramerur was auditing its committee accounts and barring defaulters' relatives from office before the Norman ships reached Hastings. Kailasa was finished, in one piece, four centuries before Oxford taught anyone anything.
Against that, the freedom of 1947 is not the birth of a country. It is the resumption of self-rule by an ancient one, after an interruption. The interruption mattered enormously and its cost was paid in tens of millions of lives. But an interruption is what it was.
Where the boundary is actually drawn
The tradition's own accounts of the country were never boundary definitions in the modern sense, and this is the part that the map-making mind cannot process.
वर्षं तद्भारतं नाम भारती यत्र सन्ततिः ॥
varsam tad bharatam nama bharati yatra santatih
That is a description by watershed and by the people living in it, not a line agreed between chancelleries. Manu gives the same kind of account of Aryavarta, from sea to sea between the two ranges. But the definition that actually did the work for three thousand years is not geographic at all.
स ज्ञेयो यज्ञियो देशो म्लेच्छदेशस्त्वतः परः ॥
sa jneyo yajniyo deso mlecchadesas tatah parah
The criterion there is not a border and not a bloodline. It is where the rite can be performed. The land is defined by the practice, and the practice defines the land. Move the practice and the definition moves with it, which is precisely why the tradition crossed the Himalaya and the sea without an army: Suvarnabhumi, Kambuja, Campa, Yavadvipa, Bali. The largest religious structure on the surface of the earth is a Vaisnava temple in Cambodia, and no Indian soldier ever stood in Cambodia to make it one. It went by merchants, by teachers, by texts and by argument, and it was accepted because it was found to be worth accepting.
Neither conquered nor converted
The distinction the entire record turns on is the distinction between the landmass and the civilisation, and not one invader ever grasped it.
The landmass was invaded and repeatedly held. Delhi was occupied for the better part of six centuries. Bengal was administered from London. That is not in dispute, and softening it would be a lie.
The civilisation was never conquered, because there was nothing to take possession of. There is no capital whose fall transfers title, as the fall of Constantinople in 1453 transferred it and ended the civilisation that had held it. There is no head whose submission binds the body, as the baptism of one king bound whole nations in Europe. There is no single book whose burning ends the transmission, as the burning of the Maya codices at Mani in 1562 ended almost everything the Maya knew, four volumes surviving out of a literature.
What an occupier in Delhi got was revenue squeezed out of villages under threat of the sword, garrisons quartered on people who had not invited them, a mint stamping his name onto other men's wealth, and a court maintained to divide what had been taken. That is the whole yield of seizing the landmass. It does not include the fire kept alight in a house in the Konkan, or the Veda carried in the memory of a village in Tondaimandalam, or the Vedanta argued out line by line, year after year, in the matha at Sringeri that Sankara himself founded and that has never once closed. No instrument he possessed could reach any of the three.
And she was never converted in the sense that would have counted. Individuals were converted in enormous numbers, by the sword, by the tax, by the famine, by inducement and by exhaustion, and the failure to bring many of their descendants home is a real failure and should be named as one rather than explained away. But the civilisation itself never took on the categories of its occupiers. It never accepted that truth is property held by an institution. It never accepted that a question is an offence. It never built the machinery it was invited for a thousand years to build. After all of it the reciters still recite, the debates are still held, the questions are still open, and no man has ever been put to death in this tradition for arriving at the wrong answer.
India is where Indianness is
Bharata is therefore not a landmass with a culture attached to it. Bharata is what occurs wherever the dharma is practised, and the land is holy because that has gone on there longer than anywhere else, not the other way about.
The land can be occupied. Aryavarta cannot, because Aryavarta is not a place that is held. It is a thing that is done.
Which is why she is present now in places no chart of the subcontinent shows. In Bali, where a Hindu civilisation has lived unbroken on an island a thousand miles from the mainland for a millennium, with its own temples, its own calendar and its own priesthood. In Mauritius, Trinidad, Fiji, Guyana and Suriname, where indentured labourers shipped out with nothing reconstructed the festival calendar, the Ramayana recitation and the temple out of memory alone, on the far side of two oceans. In Houston and Toronto and Nairobi and Leicester, where the samskaras are being performed this week for children who have never seen the Ganga.
And every one of them, at the opening of every rite, still speaks the sankalpa, and the sankalpa is a statement of position. It names the kalpa, the manvantara, the yuga, the year, the season, the month, the fortnight and the day; and then it names the place, jambudvipe bharatavarse bharatakhande. A householder in Texas locating himself by the identical coordinates as a householder in Kashi, inside a reckoning of time whose smallest ordinary unit dwarfs the whole of recorded European history.
Seventy-nine years does not register on that clock. It is not meant to. The Republic is young and it is precious and it must be defended with everything, because for the first time in a thousand years the civilisation holds its own instruments of force and its own revenue. But the civilisation is not seventy-nine years old and it is not five thousand years old either, because it does not date itself from an origin at all. It calls itself sanatana, and the word means without beginning as much as without end.
The pressure will come again. It has come in every century and there is no reason to expect an exception. And when it comes the civilisation will do what it has done every single time: give ground at the top where the armies are, hold at the household where they cannot go, argue its way through the challenge until the challenge has been answered on the merits, rebuild in stone what was broken in stone, and outlast the thing that struck it.
That is not faith. That is the record.
XX. The Century Ahead
To say that the coming century is Bharata's is not a boast about growth rates, and it is not a claim that requires anyone else to fail.
It is an observation about what the modern predicament actually is and what resources exist to meet it.
The modern crisis is not a crisis of technology or of production. It is a crisis of meaning in a civilisation that has successfully explained the mechanism of everything and has no account of why any of it matters, that has produced the highest material standard in human history alongside an epidemic of despair, and that has no framework in which the questions of purpose, death, obligation and the moral standing of the non-human world can even be asked in a form that admits an answer.
Bharata has a framework, and it has particular properties that make it unusually well suited to this moment.
It has never had a conflict between religion and science, and could not have had one, because it never held a proposition about the physical world to be beyond examination. There is no Indian Galileo, because there was no institution that could have tried him. A tradition whose scripture asks who really knows, whose method requires the opponent's case to be stated at full strength, and whose highest authority is direct knowledge rather than testimony, is structurally compatible with scientific inquiry in a way that no creedal system is.
It has an ecological ethic that is not bolted on. If the same self is present in all beings, the moral standing of a river or a forest is not a difficult modern extension of ethics but the starting position.
It has a working answer to pluralism, and it is not the modern answer of mutual indifference. It is the far stronger claim of the Rgveda that what is real is one and the wise call it by many names, which permits genuine disagreement about the names while removing the reason to kill over them.
एकं सद्विप्रा बहुधा वदन्त्यग्निं यमं मातरिश्वानमाहुः ॥
ekam sad vipra bahudha vadanty agnim yamam matarisvanam ahuh
And it has a definition of itself that is not a religion at all. Sanatana means eternal, and dharma means that which upholds. What the word names is not a set of beliefs one signs up to but an order one lives within and inquires into, in which questioning is a duty rather than a danger, in which nothing is to be accepted merely because it stands written, in which the teacher expects to be interrogated by the student, and in which the goal is not to be told the truth but to see it.
That is the inheritance. It survived the Ghurids, the Khaljis, the Tughlaqs, Timur, the Mughals, the Inquisition and the British Empire, and it is intact, and it is in the hands of the largest population of young people on earth in a country that is now assembling the industrial and scientific capacity to match it.
The task of the century is not to recover something lost. Nothing essential was lost. The task is to remember accurately what was never lost, to stop telling the version of the story that was written by the men who tried to end it, and to speak plainly.
Bharat Mata ki Jai.
Notes and Sources
On the Sindhu-Sarasvati evidence. The Mehrgarh dentistry was published in Nature in 2006 by Coppa and colleagues. The metrology, brick ratios and drainage are treated in the excavation reports of Marshall, Mackay, Wheeler and, for Dholavira, R. S. Bisht. On the Sarasvati palaeochannel, the satellite and ground survey literature is extensive; the correlation of site distribution with the channel is the load-bearing fact.
On the mathematics. Baudhayana's sutras are available in Sen and Bag, The Sulbasutras. On Brahmagupta and Bhaskara, the standard reference remains Colebrooke's translations, with Kim Plofker's Mathematics in India as the best modern survey. For the Kerala school, C. M. Whish's 1834 paper in the Transactions of the Royal Asiatic Society is the founding notice; K. V. Sarma's edition and translation of the Yuktibhasa and the work of Ramasubramanian, Srinivas and Sriram are the modern authorities. George Gheverghese Joseph's The Crest of the Peacock treats the priority question directly.
On the metallurgy. For Zawar, the excavation and analysis by P. T. Craddock, L. K. Gurjar and K. T. M. Hegde. For the Delhi pillar, R. Balasubramaniam, On the corrosion resistance of the Delhi iron pillar, Corrosion Science 42 (2000), and his monograph on the pillar. For wootz, the work of Sharada Srinivasan and Srinivasa Ranganathan.
On the surgery. The Susruta Samhita in the translation of Kaviraj Kunjalal Bhishagratna. The Cowasjee case appears in the Gentleman's Magazine, October 1794; Carpue's own account is An Account of Two Successful Operations for Restoring a Lost Nose (1816). Holwell's account of variolation was read to the College of Physicians in 1767.
On the architecture. The Archaeological Survey volumes on Ellora and Thanjavur; the Brhadisvara inscriptions are edited in South Indian Inscriptions volume II. On the silpa texts, Bruno Dagens's translation of the Mayamata and the Manasara.
On the village assemblies. The Uttaramerur inscriptions of the twelfth and fourteenth regnal years of Parantaka I, edited in South Indian Inscriptions; the standard treatment of Cola local government is in K. A. Nilakanta Sastri.
On the foreign travellers. Megasthenes survives in the fragments collected by Schwanbeck and McCrindle. Fa-Hien in Legge's translation; Xuanzang in Beal and in Watters. Al-Biruni in Sachau's translation. Abdur Razzaq, Paes and Nuniz on Vijayanagara are collected in Robert Sewell, A Forgotten Empire.
On the economic record. Angus Maddison, The World Economy: A Millennial Perspective and Contours of the World Economy; Paul Bairoch's estimates of world manufacturing output; Dadabhai Naoroji, Poverty and Un-British Rule in India; R. C. Dutt, The Economic History of India; Mike Davis, Late Victorian Holocausts, on the famine policy.
On the manufacture of caste. Nicholas Dirks, Castes of Mind: Colonialism and the Making of Modern India; Bernard Cohn on the census; Risley's own Ethnographic Survey and The People of India, which are best read as primary sources for the mentality that produced them.
On the destruction. Minhaj-i-Siraj, Tabaqat-i-Nasiri; Firoz Shah Tughlaq, Futuhat-i-Firoz Shahi; the Persian chronicles collected in Elliot and Dowson, The History of India as Told by its Own Historians, which despite the editors' framing remains the indispensable compilation of the perpetrators' own testimony. On Goa, the surviving accounts of the tribunal and the reconstruction by A. K. Priolkar, The Goa Inquisition.
On the texts. The Upanisads with Sankara's bhasya, Gita Press and Advaita Ashrama editions. Panini's Astadhyayi in the editions of Bohtlingk and of S. M. Katre. Peter Ingerman's proposal for the Panini-Backus form appeared in the Communications of the ACM in 1967.
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