'dvitīya catur-vyūha' ei--turīya, viśuddha
vāsudeva-the expansion named Vāsudeva; saṅkarṣaṇa-the expansion named Saṅkarṣaṇa; pradyumna-the expansion named Pradyumna; aniruddha-the expansion named Aniruddha; dvitīya catuḥ-vyūha-the second quadruple expansion; ei-this; turīya-transcendental; viśuddha-free from all material contamination.
Vāsudeva, Saṅkarṣaṇa, Pradyumna and Aniruddha constitute this second quadruple. They are purely transcendental.
Śaṅkarācārya also says (sūtra 44) that he cannot accept the devotees' idea that Saṅkarṣaṇa, Pradyumna and Aniruddha are equally as powerful as the absolute Personality of Godhead, full in the six opulences of knowledge, wealth, strength, fame, beauty and renunciation, and free from the flaw of generation at a certain point. Even if They are full expansions, the flaw of generation remains. Vāsudeva, Saṅkarṣaṇa, Pradyumna and Aniruddha, being distinct individual persons, cannot be one. Therefore if They are accepted as absolute, full and equal, there would have to be many Personalities of Godhead. But there is no need to accept that there are many Personalities of Godhead, because acceptance of one omnipotent God is sufficient for all purposes. The acceptance of more than one God is contradictory to the conclusion that Lord Vāsudeva, the absolute Personality of Godhead, is one without a second. Even if we agree to accept that the quadruple forms of Godhead are all identical, we cannot avoid the incongruous flaw of noneternity. Unless we accept that there are some differences among the personalities, there is no meaning to the idea that Saṅkarṣaṇa is an expansion of Vāsudeva, Pradyumna is an expansion of Saṅkarṣaṇa, and Aniruddha is an expansion of Pradyumna. There must be a distinction between cause and effect. For example, a pot is distinct from the earth from which it is made, and therefore we can ascertain that the earth is the cause and the pot is the effect. Without such distinctions, there is no meaning to cause and effect. Furthermore, the followers of the Pañcarātric principles do not accept any differences in knowledge and qualities between Vāsudeva, Saṅkarṣaṇa, Pradyumna and Aniruddha. The devotees accept all these expansions to be one, but why should they restrict oneness to these quadruple expansions? Certainly we should not do so, for all living entities, from Brahmā to the insignificant ant, are expansions of Vāsudeva, as accepted in all the śrutis and smṛtis.