Vyāpti is the technical term in Nyāya logic that refers to the universal, invariable relation between the reason (hetu) and the probandum (sādhya). It is the guarantee that wherever the hetu is present, the sādhya is also present, as in the relation between smoke and fire in proper cases. This invariable concomitance is what justifies moving from the presence of the sign to the conclusion about what it signifies. Without established vyāpti, inference would lack logical force.
Option A:
Option A refers to nigamana, the concluding statement of the five-membered inference, not the relation between reason and probandum.
Option B:
Option B points to the middle term, hetu, which is the sign in the minor term, but vyāpti concerns the relation involving this term, not the term itself.
Option C:
Option C correctly identifies vyāpti as the pervading relation, often described as “wherever smoke, there fire,” which underlies the possibility of anumāna.
Option D:
Option D is dṛṣṭānta or udāharaṇa, the example that illustrates the universal relation, distinct from the relation itself.
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