Jain Journal 1990 10

Author(s): Jain Bhawan Publication
Publisher: Jain Bhawan Publication

Page 47

OCTOBER, 1990
more or being less) of mathematically exact actual infinities. In Appendix70 is reproduced that section of Dhavala which gives mathematics of transfinites while locating mithyadrsti jiva răsi in order of alpabahutva. Algebraic transliteration of the prakrit passage is also given in Appendix. In Table V is given order of transfinites layed out in the text reporduced in Appendix.
TABLE V
Hierarchy of Ananta-S
Let=P
log, log, (pa) loga (jpa) log, log, (jaa)
28
class of asamkhyātasamkhyāta (AA)
jpa
log, (jaa) log, log2 (x)
22B 28 2ß' +'=B" (228)2
class of jaghanya paritānanta (pa)
jpaa
jaa
228
28"
logg(x) loga loga (y) jaa?
26" +B=B" (228) 228"
X
28
loga(y) log, log(2)
class of jaghanya anantānanta (jaa)
x2
28"" +ß""=B (228"')2 228
loga(z)
28.
(228"')?
22peren
maa
non quantitative non quantitative
S
class of madhyama anantānanta (maa)
In Table V171 is given alpabahutva order of most important actual infinities. For various classes of souls a much detailed order of alpabahutva not only of infinites but also of finites, as available from Dhavala
samoch detailed order of alga
70 Text reproduced from Dhavala [III, pp. 21-26). 71 Constructed on the basis of Dhavala (III, pp. 30-31).