जै · The Jain Encyclopedia
How the greatest number is defined

The four śalākā pits

शलाका

A thought-experiment with mustard seeds that fixes the boundary between the numerable and the innumerable.

Take a pit one lakh yojana wide, the width of Jambūdvīpa, and a thousand yojana deep. Fill it with mustard seeds, heaped. Now drop one seed on each continent and each ocean of Madhya Loka in turn, working outward, until the pit is empty. Where the last seed falls, dig a new pit of that size and fill it again. That growing pit is the anavasthita, the unsettled one.

Each time an anavasthita empties, drop one seed into the second pit, the śalākā, the tally. When the śalākā fills, drop one seed into the pratiśalākā. When that fills, one seed into the mahāśalākā. Continue until the mahāśalākā is full and can take no more.

Now count every seed in all four pits together with every seed scattered across the continents and oceans. Subtract one. That number is utkṛṣṭa saṃkhyāta, the greatest numerable number, and adding one to it gives the least of the innumerable.

It is worth noticing what this construction is for. It does not produce a figure anyone will write down. It produces a boundary, defined precisely enough that the categories above it can be ordered and reasoned about. The Anuyogadvāra Sūtra is not being poetic here; it is building a definition.

what one samaya isparamāṇupradeśaone atom crosses one point of space, at its slowest= one samayawhy it cannot be dividedA cloth tears in an instant. But each thread parts after the one before it,and each thread is countless fibres. Parting one fibre takes innumerable samaya.counted in samaya1Liberationthe soul's rise to Siddhaśilā, never turning1–4Vigrahagatithe passage from one body to the next8Kevalī samudghātaa soul fills the whole loka and returnsasaṃ.One āvalikāinnumerable samaya · ≈ 1/5,800 second2 →Antarmuhūrtamore than an instant, less than 48 minutesthe ladder of number21 kinds · 3 numerable, 9 innumerable, 9 infiniteANANTAthe infiniteUtkṛṣṭa Anantānantakevalajñāna knows all of it at onceMadhyama Anantānantathe space-points of alokaJaghanya AnantānantaUtkṛṣṭa YuktānantaMadhyama Yuktānantathe siddhas · the souls in nigodaJaghanya Yuktānanta= the number of abhavya soulsUtkṛṣṭa ParītānantaMadhyama ParītānantaJaghanya Parītānantautkṛṣṭa asaṃkhyātāsaṃkhyāta + 1ASAṂKHYĀTAthe innumerableUtkṛṣṭa AsaṃkhyātāsaṃkhyātaMadhyama Asaṃkhyātāsaṃkhyātathe space-points of the loka fall hereJaghanya AsaṃkhyātāsaṃkhyātaUtkṛṣṭa YuktāsaṃkhyātaMadhyama YuktāsaṃkhyātaJaghanya Yuktāsaṃkhyāta= the samaya in one āvalikāUtkṛṣṭa ParītāsaṃkhyātaMadhyama ParītāsaṃkhyātaJaghanya Parītāsaṃkhyātautkṛṣṭa saṃkhyāta + 1SAṂKHYĀTAthe numerableUtkṛṣṭa Saṃkhyātathe four śalākā pits, less oneMadhyama SaṃkhyātaJaghanya Saṃkhyāta= 2 · counting begins here→ the four śalākā pits: how the greatest numerable number is fixed
The samaya, and the ladder of number — The four śalākā pits highlighted

Measurements and counts

Pits4
1stanavasthita — the growing pit
2ndśalākā — the tally
3rdpratiśalākā
4thmahāśalākā
First pit1 lakh yojana wide, 1,000 deep
Filled withmustard seeds
Yieldsutkṛṣṭa saṃkhyāta, less one

Connected

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समयं गोयम! मा पमायए

Do not be heedless, Gautama, for even a single samaya.

Uttarādhyayana Sūtra 10