'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.
"Saṅkarṣaṇa, Pradyumna and Aniruddha have all the potent features of the absolute Personality of Godhead, according to the revealed scriptures, which contain undeniable facts that no one can refute. Therefore these quadruple forms are never to be considered ordinary living beings. Each of Them is a plenary expansion of the Absolute Godhead, and thus each is identical with the Supreme Lord in knowledge, opulence, energy, influence, prowess and potencies. The evidence of Pañcarātra cannot be neglected. Only untrained persons who have not genuinely studied the Pañcarātras think that the Pañcarātras contradict the śrutis regarding the birth or beginning of the living entity. In this connection, we must accept the verdict of Śrīmad-Bhāgavatam, which says: 'The absolute Personality of Godhead, who is known as Vāsudeva and who is very affectionate toward His surrendered devotees, expands Himself in quadruple forms who are subordinate to Him and at the same time identical with Him in all respects.' The Pauṣkara-saṁhitā states: 'The scriptures that recommend that brāhmaṇas worship the quadruple forms of the Supreme Personality of Godhead are called āgamas [authorized works of Vedic literature].' In all Vaiṣṇava literature it is said that worshiping these quadruple forms is as good as worshiping the Supreme Personality of Godhead Vāsudeva, who in His different expansions, complete in six opulences, can accept offerings from His devotees of the results of their prescribed duties. Worshiping the expansions for pastimes, such as Nṛsiṁha, Rāma, Śeṣa and Kūrma, promotes one to the worship of the Saṅkarṣaṇa quadruple. From that position one is raised to the platform of worshiping Vāsudeva, the Supreme Brahman. In the Pauṣkara-saṁhitā it is said: 'If one fully worships according to the regulative principles, one can attain the Supreme Personality of Godhead, Vāsudeva.' It is to be accepted that Saṅkarṣaṇa, Pradyumna and Aniruddha are as good as Lord Vāsudeva, for They all have inconceivable power and can accept transcendental forms like Vāsudeva. Saṅkarṣaṇa, Pradyumna and Aniruddha are never born, but They can manifest Themselves in various incarnations before the eyes of pure devotees. This is the conclusion of all Vedic literature. That the Lord can manifest Himself before His devotees by His inconceivable power is not against the teaching of the Pañcarātra. Since Saṅkarṣaṇa, Pradyumna and Aniruddha are actually the predominating Deities of all living entities, the total mind and the total ego, the descriptions of Saṅkarṣaṇa, Pradyumna and Aniruddha as jīva, mind and ego are never contradictory to the statements of the scriptures. These names identify these Deities, just as the terms 'sky' and 'light' sometimes identify the Absolute Brahman.