Krishna has unlimited names according to His unlimited activities; all religions seek the same Supreme Being under different names.Listen — Srila Prabhupada Uvaca
Śrīmad-Bhāgavatam 1.8.33 — October 13, 1974, Māyāpur 741013SB-MAYAPUR [35:10 Minutes] SB-01.08.33_741013SB-MAYAPUR Nitāi: Oṁ namo bhagavate vāsudevāya. Oṁ namo bhagavate vāsudevāya. Oṁ namo bhagavate vāsudevāya. [devotees repeat] [leads chanting of verse, etc.] apare vasudevasya devakyāṁ yācito 'bhyagāt ajas tvam asya kṣemāya vadhāya ca sura-dviṣām [SB 1.8.33] [break] [01:03] "Others say that since both Vasudeva and Devakī prayed for You, You have taken Your birth as their son.
Undoubtedly You are unborn, yet You take Your birth for their welfare and to kill those who are envious of the demigods." Prabhupāda: apare vasudevasya devakyāṁ yācito 'bhyagāt ajas tvam asya kṣemāya vadhāya ca sura-dviṣām [SB 1.8.33] There are... Actually, Kṛṣṇa is unborn, aja, but Aja is taking birth. That is already explained. This is the bewilderment, viḍambanam.
It is already explained. So this viḍambanam, speculation or bewilderment, how many types of speculation are there, that is being described by Kuntīdevī. Somebody says that Kṛṣṇa is Yādava. Yādava.
Yādavāya mādhavāya keśavāya namaḥ. Yādava means born in the Yadu dynasty. And somebody says Kṛṣṇa is Vāsudeva, son of Vasudeva, Devakī. And Kṛṣṇa...
And some of them, they say nanda-kumārāya, now, son of Nanda Mahārāja. So Kṛṣṇa has many speculations, but actually He is aja. Ajas tvam asya kṣemāya. Kṛṣṇa... This is to be understood, that everyone thinking that He is born in the Yadu family, He is born of Vasudeva, or He is the son of Mother Yaśodā and Nanda Mahārāja.
This is Kṛṣṇa's pastimes. When the impersonalist says, or there are many philosophers, that "God has no name," actually that is a fact. God has no name. But He has name according to His activities.
Just like when He acts as the chariot driver of Arjuna, His name is Pārtha-sārathi. When He plays as the child of Mother Yaśodā, He is called Yaśodā-nandana. When people say that He is born of Nanda Mahārāja, He is called Nanda-nandana. When people say that He came to protect Vasudeva and Devakī, He is called Vāsudeva, or Devakī-nandana.