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The distinction between factual knowledge and inferential knowledge has been explored by the discipline of general semantics.
(1962) Inferential knowledge transcendental deduction.
Inferential knowledge is based on reasoning from facts or from other inferential knowledge such as a theory.
Doubt about vyapti and certainty of the absence of vyapti act as hindrances to inferential knowledge; the certainty about vyapti is the cause of inferential knowledge.
Exactly similar remarks apply to the difference between expectation, such as we have when waiting for the thunder after a flash of lightning, and assent to a proposition about the future, such as we have in all the usual cases of inferential knowledge as to what will occur.