The Lalitavistara on the contrary is regarded as one of the most sacred Mahāyāna texts, as a Vaipulya Sūtra. It is a text-book of voluminous. Lalitavistara Sutra English version – Ebook download as PDF File .pdf), Text File .txt) or read book online. Lalitavistara Sūtra The Lalitavistara Sūtra is a Mahayana Buddhist sutra that tells the story of Gautama Buddha from the time of his descent from Tushita until his.

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King Suddhodana then asked the Bodhisattva: So the Bodhisattva was told to show his ability. The great mathematician Arjuna asked the Bodhisattva: And next is the numeration called dvajagravati ; with the help of this numeration one could take all the sands of the river Ganges as a subject of calculation and measure them. Above this is the numeration called dvajagranisamani ; and above this is the numeration of vahanaprajnapti ; next comes the numeration called inga ; above this is the numeration of kuruta.

Again above this is the numeration called sarvaniksepawith the help of which one could take the sands of ten Ganges rivers as a subject for calculation and measure them all.

And again above lalitvaistara is the numeration called agrasarawith the help of which lalitavistata could take the sands of a hundred kotis of Ganges rivers as a subject of calculation measure them all. Except for a Tathagata, or a Bodhisattva who has reached the purest essence of Enlightenment, or a Bodhisattva who has been initiated into all the Dharma, there is no being who knows this numerationlalitaivstara myself or a Bodhisattva like me, who has arrived lalitxvistara his last existence, but has not yet left home.

Let the young prince show us the mass of a lalitavistaara, and explain how many subtle particles are found in it.

By this procedure, there are here in the land of Jambu seven thousand yojanas; in the land of Aparagodanaeight thousand yojanas; in the land Purvavidehanine thousand yojanas; in the land of Uttarakuruten thousand yojanas. There are the hundred kotis of Brahma realms; the hundred kotis of Brahmapurohita realms; the hundred kotis of Brahmaparsadya realms; the hundred kotis of Mahabrahma realms; the hundred kotis of Parittabha realms; the hundred kotis of Apramanabha realms; the hundred kotis of Abhasvarana realms; the hundred kotis of Parittasubha realms; the hundred kotis of Apramanasubha realms; the hundred kotis of Subhakrtsna realms; the hundred kotis of Anabhraka realms; the hundred kotis of Punyaprasava realms; the hundred kotis of Brhatphala realms; the hundred lalitavkstara of Asangisattva realms; the hundred kotis of Abrha realms; the hundred kotis of Atapa realms; the hundred kotis stura Sudrsa realms; the hundred llaitavistara of Sudarsana realms; and the hundred kotis of Akanistha realms.

All the calculations of the essence of the lalitavisatra includes the many hundreds of yojanas of subtle particles in this mass of three thousand great thousands of worlds, the many thousands of yojanas, the many kotis of yojanas, and the many niyutas of yojanas. And how many subtle particles are there?

It passes beyond calculation, it is incalculable.

There are an incalculable number of subtle atoms in the mass of the three thousand great thousands of worlds. While this lesson on enumeration was being taught by the Bodhisattva, the great mathematician Arjuna and the multitude of Sakyas listened with pleasure, joy, and happiness.

Everyone there was filled with great admiration, and each of them presented the Bodhisattva with garments and ornaments. The great mathematician Arjuna then uttered these two verses:. One with laliyavistara knowledge of numbers is incomparable! How could these five hundred Sakyas do anything more wonderful?

Then gods and men by the hundreds of thousands uttered cries of admiration and joy. And the devaputras in the lalitavitara of the sky recited this verse:.

Thus, O monks, the Bodhisattva distinguished himself by his superiority over all the other young Sakyas. And as they continued lalitavisatra contests — in jumping, in swimming, in running and all the rest — the Bodhisattva again and again demonstrated his superiority A commentary on the main points in the Lalitavistara Sutra’s mathematical test of the young Buddha.

If this sutta the case, lalitavistafa Lotus Sutra can be dated after the Lalitavistara Sutra. There a worlds form a small chiliocosm, there’s a wall, small chiliocosms form a middle chiliocosm, then again a wall, and this times repeated to constitute the large chiliocosm.

Apart from the convention to allow a total of a billion worlds, the distance between two worlds is settled there at joyana about a light minutea minor travesty. The argument is metaphorical, and builds further upon concepts we’ve met in the Lalitavistara above: Precision is not what is aimed at here, the new quantities are just hinted at for sura power to dazzle the mind, but actually the numbers do not become larger than in the Lalitavistara, as calculated within brackets.

Important in this passage is that only the earth element is rightly qualified to be ground to ink. Given the data from the Lalitavistara Sutra we solve the mathematical riddles in kalitavistara Lotus Sutra as follows. And so a challenge set to mathematicians two millennia ago has finally been answered.

Buddhists may be glib talkers when it comes to numbers, but we do know the end and bounds of all their lands! Furthermore, what strikes us in this passage from the Lotus Sutra is that a higher type of recursion — a repetition of numerations as we find it rising to a power tower in the Avatamsaka Sutra — seems to hide just around the corner, waiting to be discovered. The Buddha addressed the bhikshussaying: Since that buddha became extinct, a very long time has passed. For surra, suppose the earth element in a three thousand great thousandfold world [got kotis of earth worlds] were by someone ground into ink, and he were to pass through a thousand countries in an eastern direction, and then let fall one drop as large as a grain of dust.

And again, passing through another thousand countries, again let fall one drop, suppose he thus proceeds until he has finished the ink made of the earth element — what is your opinion? Let all countries which that man has past, those where he has left a drop and those that he passed, be ground to dust and let one grain of dust be a kalpa [totals 2E66 kalpas] — the time since that buddha became extinct till now still exceeds those numbers by innumerable, unlimited, hundred thousand myriad kotis of asamkhyeya kalpas.

But by the power lalitavistata my Tathagata-wisdom, I observe that length of time as if it were only today. At that time the World-honoured One, desiring to proclaim this teaching over again, spoke in verse:. Suppose someone grinds a three thousand great thousandfold world With its entire earth element, by his physical power utterly to ink, And after he passes a thousand countries, just lets fall one drop, And proceeding in this manner he drops all this atomized ink.

When all these countries, the ink-dropped and those undropped, Are completely ground to dust again and a grain is as a kalpa — The number lalitzvistara those grains are still exceeded by the kalpas Since that buddha became extinct: The Buddha’s wisdom is pure and precise, Flawless and unobstructed, penetrating the infinite kalpas.

S tory of how the young Buddha passes his maths test King Suddhodana then asked the Bodhisattva: The Bodhisattva knows up to ten numerations The great mathematician Arjuna asked the Bodhisattva: Counting the atoms in a yojana and the Earth’s mass Arjuna said: Admiration of this mathematical lesson While this lesson on enumeration was being taught by the Bodhisattva, the great mathematician Arjuna and the multitude of Sakyas listened with pleasure, joy, and happiness.

The great mathematician Arjuna then uttered these two verses: And the devaputras in the expanse of the sky recited this verse: About the initial koti. Here the list of worlds goes beyond the earthly and heavenly realms of desire places of rebirth and also covers the two spheres of form or creation and formlessness or extinctionto add up to kotis of worlds.

This only makes sense if we put the koti value at 1E6. If so the first numeration from a hundred kotis at 1E8 ends with a tallakshana at 1E52a factor ten less than usual. Now the tallakshana may be the first value of the next enumeration also called tallakshana or the next numeration may start at a value after that. It’s not clear if the multiplicative steps again should be and if the number of steps stays equal in all numerations, namely 22 or The upcoming comparisons with the sands of the Ganges seem to suggest these parameters become much smaller, but this can be brushed aside to keep the argument going at a reasonable pace.

Most probably the Sutra writers lalitavistars have a clue what they were doing, but their approach reminds us of the Big number algorithm of Archimedes and may be a flawed attempt to transplant his system to Indian buddhist soil.

Suddenly we have a myriad lalitafistara a myriad and this repeated a hundred times, with a final myriad added on top, beautiful! The right point to change over from lalitavisfara mathematical numbers to the physical world — because curiously in the upcoming numeration of distances, this last number is made to express the smallest length of an atom.

It is as if we were dealing with quantum-information that fills suhra vacuum here. The 10 th numeration of lengths goes from types of particles, to types of dust stirred up by animals of increasing size, to plant seeds, to human bodily measures, a mile, and then ending with the definition of a joyanathe measure of distance most common in buddhist sutras. The intention in the Lalitavistara was obviously to construct ever greater systems of numbers, building one on top of the other.

That’s why we can’t make sense of the transition to measures of mass, where these have no connection with those of lengths.

But maybe we cannot believe the exact expression as given above, which certainly doesn’t look like a serious number. Perhaps a few additional digits have been dropped during the translation or copying, perhaps the original writers were just fools trying to impress, or perhaps it was meant as a riddle.

The lands in the South, West, East and North are measured at yojanasto form an earth world of four continents, or more generally the unit world. In all 30 types of realms are listed, each with a kotis of worlds, constituting the three thousand great thousands of worlds.

If these higher realms do consist of atoms, their type and number is bound to disagree with that of the lowly realm of earth. This being common buddhist knowledge it is mistake to think we can derive with certainty any total number from this list of worlds on top of its first entry: Assume the koti value is 1E7 the usual ten million throughout, as we aim for maximal estimates. When there are kotis of earth worlds in a three thousand great thousandfold worldthe Buddha can have at most 1E9 a billion worlds filled with earth.

Den Haag, 6 april D rops of ink and dust in the Lotus Sutra The Buddha addressed the bhikshussaying: