Not only have the Naiyanikas supplied proofs for the existence of God, they have also stated an argument that such a God can only be one. In Nyaya Kusumanjali, this is discussed against the proposition of the Mimansa school-for example, if one assumes there were many demigods (Devas) and sages (rishis) in the beginning, who wrote the Vedas and created the world. Nyaya says that:

(if they assume such) omniscient beings, those endowed with the various superhuman faculties of assuming infinitesimal size, and so on, and capable of creating everything, then we reply that the law of parsimony bids us assume only one such, namely Him, the adorable Lord. There can be no confidence in a non-eternal and non omniscient being, and hence it follows that according to the system which rejects God, the tradition of the Veda is simultaneously overthrown; there is no other way open.

In other words, Nyaya states that the polytheist would have to give detailed proofs for the existence and origin of his several celestial spirits, none of which would be logical. So it is much more logical to assume only One, eternal and omniscient God.