In Nyaya Syllogism, all the three terms stand synthesized in which of the…

Concept

A five-membered Nyaya inference connects a particular subject (paksha), the reason or middle term (hetu), and the property to be proved (sadhya). Each member has a distinct role in moving from the stated thesis to an established conclusion.

Synthesis occurs when the universal relation illustrated earlier is brought back to the particular subject: the subject is shown to possess the reason that is pervaded by the property to be proved.

Application

In the standard hill-and-fire inference, the universal relation between smoke and fire is illustrated first. Upanaya then applies that relation to the hill by affirming that the hill has smoke; this synthesizes the particular subject, the reason present in it, and the property established through their universal relation.

Contrast

• Udaharana supplies the universal concomitance and a familiar example; it does not yet apply that relation to the present subject.

• Nigamana restates the proposition as the established conclusion after the application has been made.

• Hetu states the reason present in the subject, but the universal relation has not yet been applied back to that subject.

Result

Therefore, the step in which all three terms stand synthesized is Application (Upanaya).