அன்புடையீர்
(dear VSR)

you might also want to see what François Gros wrote in his end notes (on p. 182 of the same 1968 book) concerning lines 77-79 of Paripāṭal 3

பாழெனக் காலெனப் பாகென வொன்றென
இரண்டென மூன்றென நான்கென வைந்தென
ஆறென வேழென வெட்டெனத் தொண்டென


77-79
++++++++++++++++++++++++++++++++++
P. retrouve dans cette énumération les vingt-cinq tattva du Sāṃkhya:
/pāL/, le néant (ou le zéro) c'est le puruṣa inactif; /kāl/, le quart,
mais aussi "le germe", ce sont les cinq éléments qui débutent
par l'éther (i.e. les mahā bhūta); /pāku/ "division" (ou moitié)
ce sont les cinq karmendriy; /un/ c'est le son, qualité de l'éther;
/deux/, le toucher, qualité du vent; /trois/, la forme, qualite du feu;
/quatre/, la saveur, qualité de l'eau; /cinq/, l'odeur, qualité de la terre;
/six/, ce sont les cinq sens d'aperception (buddhīndriy) et le manas,
sens mental qui en détermine la perception; /sept/, l'ahaṃkāra;
/huit/, la buddhi; /neuf/, la mūlaprakṛti. L'exposé est complet et parfaite-
ment correct; le seul problème demeure de savoir si P. n'a pas ici
transposé un peu abusivement la science du Sāṃkhya qu'il avait
étalée par ailleurs aussi brillamment dans le commentaire du /KuRaḷ/ 23.
++++++++++++++++++++++++++++++++++++

[P. = பரிமேலழகர் (Parimēlaḻakar)]

அன்புடன்

-- Jean-Luc

https://htl.cnrs.fr/equipe/jl-chevillard/

On 26/07/2022 21:06, rajam via INDOLOGY wrote:
Exactly!

The part … 'Tu as l'excellence dite par les nombres des âges de quatre sortes : Noir aux yeux rouges, Blanc aux yeux noirs ‘ is crucial for understanding ‘sūnya’ as a part of mathematical counting.

In Tamil, it goes like this:

… *எண்* நவிற்றும் சிறப்பினை

Thanks and Regards,
rajam


On Jul 25, 2022, at 9:48 PM, Anurupa Naik <[email protected] <mailto:[email protected]>> wrote:

If I'm not mistaken, you're referring to this part from Prof Gros' French translation of /Paripatal/ published by the French Institute:

75 Sans souffrir deux ombres, les trois fois sept mondes
C'est Toi qui les protèges sous une ombre unique.
Le néant, le quart, la moitié, un
Deux, trois, quatre, cinq
Six, sept, huit, neuf :
80 Tu as l'excellence dite par les nombres des âges de quatre sortes :
Noir aux yeux rouges, Blanc aux yeux noirs [...]

/(Le Paripāṭal. Texte tamoul/. Introduction, traduction et notes par François Gros, PIFI n°35, IFP, 1968, p. 16)

Thank you,
Anurupa
IFP

On 26-07-2022 02:52, rajam via INDOLOGY wrote:

For whatever its worth … I’m tempted to provide some information from the Tamil paripāṭal (பரிபாடல் : 3) where I see a mathematical counting starting from ’sūnya’ / ‘zero’.

This poem, paripāṭal (பரிபாடல் : 3), is dedicated to tirumāl (திருமால், Vishnu).

Here, the numbers are counted as: pāḻ (பாழ், meaning ’nothing solid/concrete/meaningful…’), kāl (கால், one quarter, 1/4),  pāku (பாகு, one half, 1/2), oṉṟu (ஒன்று, one), iraṇṭu (இரண்டு, two), mūṉṟu (மூன்று, three), nāṉku (நான்கு, four), aiṉtu (ஐந்து, five), āṟu (ஆறு, six), ēḻu (ஏழு, seven), eṭṭu (எட்டு, eight), toṇṭu (தொண்டு, nine).

பாழ்என, கால்என, பாகுஎன, ஒன்றுஎன,
இரண்டுஎன, மூன்றுஎன, நான்குஎன, ஐந்துஎன,
ஆறுஎன, ஏழுஎன, எட்டுஎன, தொண்டுஎன,
நால்வகைஊழிஎண்நவிற்றும்சிறப்பினை…

Now, I request our dear colleague Jean-Luc Chevillard for a translation from Gros for this part of the Paripadal poem.

Thanks and regards,
rajam


On Jul 25, 2022, at 9:19 AM, alakendu das via INDOLOGY <[email protected]> wrote:

Dr.Dahejia,
With due regards, I mention the following points on the issue of "Sunnya" 1) "Sunnyata" of Mahayana Buddhism is a purely philosophical concept developed by Asanga and his brother BasuBandhu, embodying the principal of "ChatushKotiBinirmuktwa".. 2) In the world of Mathematics,probably ,an ancient Indian text dating back to 5th CE B.C, named as "Lokabibhaga" displayed use of decimal system ( including aero) .I would be grateful if any further reference on this text can be furnished. 3) AryaBhatta's name is associated with the concept of zero" with respect,although there is a view that Maya civilization of Central America introduced the concept of zero.

Would like to be enlightened more on this.
Regards
Alakendu Das.



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From: Harsha Dehejia via INDOLOGY <[email protected]>
Sent: Sun, 24 Jul 2022 16:20:43 GMT+0530
To: Indology List <[email protected]>
Subject: [INDOLOGY] Sunya

Friends:

Is there any evidence that the sunya of mathematics arose out of the sunyata of Mahayana Buddhism?

Kind regards,

Hrtsha
Harsha V. Dehejia

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--
Ms. Anurupa Naik
Head, Library and Publication Division
French Institute of Pondicherry (IFP)
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