(1) All men are mortalThe Hindu expression of the argument contains five statements:
(2) Socrates is a man
(3) Therefore, Socrates is mortal
(1) Socrates is mortalNow there is nothing fundamentally different about the nature of the reasoning in these respective forms; the only difference is in the expression. Note that the first and fifth statements in the Hindu syllogism are the same, as are the second and fourth. All the Hindu syllogism does is to state at the beginning where the argument is going and bring attention to the minor premise. It is really an enthymeme of the Aristotelian form appended to the beginning.
(2) For he is a man
(3) All men are mortal
(4) Socrates is a man
(5) Therefore Socrates is mortal
There is a lot of talk about how different Eastern logic is from Western, but if there is a difference, it certainly isn't evident here.