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Concept of Sūnya (Zero) in Jaina Canons :
(135)
sangraha and Gommațasāra (9-10th CE) tell us that the zero could be subjected to all these eight operations as below: 30 (i) Addition: The addition of zero to any number will not change the original number:
n+ 0 = n (ii) Subtraction: The subtraction of zero from any number will not change the original number:
n -0 =n However, subtraction of any number from zero will have the negative number:
0 - n =-n (iii) Multiplication: Any number multiplied by zero becomes zero:
nx0 = 0 (iv) Division: Any number divided by zero remains the same as per
Mahāvīrācārya but it turns into "Kha" (infinity) as per other
authors. (v) Square and square roots: The square and square root of zero is
zero itself. (vi) Cube and cube root: The cube and cube root of zero is zero itself.
Jain” refers to Gommațasāra commentary (Keśava Varnī, 1359 CE) and Jñānacandrikā (Todarmal, 1761 CE) indicating the various uses of zero in many earlier Jaina texts. Accordingly, . (a) Zero denotes the number of living beings of 1-sensed, 2-sensed
etc. (b) Zero is used in filling up of empty spaces (c) Zero is used in decimal system in calculating the value of powers
to the numbers (d) Zero facilitates the expressions of large numbers (e) Zero gives the value of numbers based on its place values (f) Zero makes the calculations easier 33
Table 5: Zero in Jaina Texts
S.No 1.
Symbol
Period App. 3000 BC 450 BC
Source Sramanic culture, Indus valley seals Acărănga
Sünya word
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