Karika 4

दृष्टमनुमानमाप्तवचनं च सर्वप्रमाणसिद्धत्वात्।
त्रिविधं प्रमाणमिष्टं प्रमेयसिद्धिः प्रमाणाद्धि॥ ४॥

Translation by Henry Thomas Colebrooke (1837): Perception, inference, and right affirmation, are admitted to be threefold proof; for they (are by all acknowledged, and) comprise every mode of demonstration. It is from proof that belief of that which is to be proven results.

Translation by John Davies (1881): Perception, inference, and fit testimony are the threefold (kinds of) accepted proof, because in them every mode of proof is fully contained. The complete determination or perfect knowledge (siddhi) of what is to be determined is by proof.

Translation by Ganganath Jha (1896): Perception, Inference, and Valid Testimony are admitted to be the three kinds of proof necessary; because they include all kinds of proof. It is by proof that a fact is ascertained.

Translation by Nandalal Sinha (1915): Perception, Inference, and Testimony (are the Proofs; by these) all proofs being established, Proof is intended to be threefold. From Proof verily is the establishment of the Provables.

Translation by Har Dutt Sharma (1933): The means of right cognition are recognised to be of three kinds, - perception, inference and valid testimony; as all the means of right cognition are proved (to be included in these three). Verily, a provable is proved by means of right cognition.

Translation by Radhanath Phukan (1960): There are only three recognised modes of proof which can lead us to an understanding that the knowledge we have arrived at about a thing is true. They are: (1) direct cognition by the sense-organs, (2) inference by logical reasoning, and (3) valid testimony (Āpta-vacanam) - other modes of proof being included in these three; the establishment of the truth to be known about anything depends on the correctness of the mode of proving it.

Translation by Swami Virupakshananda (1995): Perception, Inference and Valid Testimony are the means; (by these) all other means of right cognition too are established (as they are included in the above three); proof is intended to be of three kinds. It is through the proofs that the provables are established.

Translation by G. Srinivasan (recent): Siddhi or conclusive holistic proof is arrived at by a process of logical and theoretical analysis of information from observations, inferences and axiomatic principles. When such holistic conclusions are further condensed by using the threefold analytical process with appropriate rationale and theory, it is established as a conclusive axiomatic theorem.