जै · The Jain Encyclopedia
Number 6 of 21 · the innumerable

Utkṛṣṭa Parītāsaṃkhyāta

उत्कृष्ट परीतासंख्यात

The greatest of the Parītāsaṃkhyāta, the 2nd rank on the ladder of number.

Jain mathematics grades quantity into twenty-one kinds: three numerable, nine innumerable and nine infinite. Each rank comes in a least, a middle and a greatest, and each greatest is one less than the least of the rank above, so the twenty-one tile the whole of number without a gap.

This rank carries no separately named quantity; it is defined by its neighbours, as most of the twenty-one are.

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 — Utkṛṣṭa Parītāsaṃkhyāta highlighted

Measurements and counts

Position6 of 21
Classthe innumerable
RankParītāsaṃkhyāta
DegreeUtkṛṣṭa — greatest

Connected

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समयं गोयम! मा पमायए

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

Uttarādhyayana Sūtra 10