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What is the "logic" in Buddhist logic?(5)

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     disregards  the  special  features  of the  ablative
     "because"   and   translates   the   three-membered
     syllogism as if it contained conditionals. Following
     Daye, I suggest  that  that  move  is too hasty, and
     that  we must regard  the ablative  "because"  as an
     operator connecting the hetu and d.r.s.taanta to the
     thesis.  Since  the Sanskrit  ablative  expresses  a
     relation   of   physical   or  conceptual   removal,
     separation, distinction, or origin, it was  used  to
     convey  the notion of causal explanation.  This fact
     gives  prima facie evidence  for interpreting  it in
     the sense  of "a reason  for." Such an understanding
     is reinforced by the meaning of "hetu," which is the
     name of the explanatory part of the three-

              P.186

     membered syllogism.  According  to Tachikawa, "hetu"
     primarily  means  'reason'.(8) This is solid  ground
     for reading  'q because  p' as: 'p is the reason for
     q', 'p is the explanatory hypothesis for q', or even
     the Peircean 'if p were true, q would be a matter of
     course'.

      Beyond   points   of  translation,  one  of  the
     strongest   reasons  for  seeing the  three-membered
     syllogism   of   the   Nyaayaprave`sa   as   a
     retroduction-deduction   is  the  existence  of  the
     five-membered   syllogism   in  the  earlier  Nyaaya
     tradition, particularly  the  Nyaaya  Suutra.(9) The
     five-membered  syllogism  of the  Nyaaya  Suutra  is
     perfectly  symmetrical  between  its  three  initial
     retroductive steps and its two culminating deductive
     steps:


      15. Thesis(pratij~naa)   for  example, there  is
       fire on the mountain.

      16. Reason (hetu)- The mountain smokes.

      17. Exemplification   (d.r.s.taata) -   Wherever
       there  is  smoke.  there  is  fire, as  (for
       example) on the hearth in the kitchen.

      18. Recapitulation of the reason (upanaya) - The
       mountain smokes.

      19. Conclusion (nigamana) There is fire on the
       mountain.


     If one were to picture  this pattern as an isosceles
     triangle, one side would represent  the retroduction