In general, the monists cannot grasp the intricate philosophy of nondualism. So Dr. Radhakrishnan has spun out of his imagination a theory by which he tries to establish dualism in nondualism. When Dr. Radhakrishnan writes that we must surrender to "the Unborn, Beginningless, Eternal who speaks through Kṛṣṇa," he implies that it is the impersonal Brahman within Kṛṣṇa who is speaking about surrender. Once it is established that the impersonal Brahman can speak, then He must also possess the instrument of speech, namely the tongue. Thus we see that Dr. Radhakrishnan's whole concept of impersonalism is immediately undermined. There is sufficient evidence in the scriptures to conclude that one who talks can also walk. And a being capable of speaking and walking must indeed be endowed with all the senses. Then He must also be able to perform other activities, such as eating and sleeping. So how can Dr. Radhakrishnan claim that his beginningless, eternal object is impersonal?
In his "Introductory Essay," on page 62, Dr. Radhakrishnan writes,
When we are emptied of our self (?), God takes possession of us. The obstacles to this God-possession are our own virtues, pride, knowledge, our subtle demands, and our unconscious assumptions and prejudices.
From his own arguments we can safely surmise that Dr. Radhakrishnan, due to his carelessness and previous upbringing, is seeing a difference between Lord Kṛṣṇa's body and His soul. He is still not free from false ego, that is, "emptied of self." Therefore his "virtues, pride, knowledge, subtle demands, and unconscious assumptions and prejudices" are all preventing him from understanding the transcendental truth. He must have been brought up in an atmosphere of Māyāvāda thought; for this reason he was unable to grasp the truth.
Śrīpāda Śaṅkarācārya, the founder and propagator of Māyāvāda philosophy, proved that the material world was an illusion—mithyā—and so he diligently pursued the path of austerity and renunciation, and he stressed it in his teachings. He did not waste valuable time trying to lord it over this illusory material world. But if he were to see the present condition of the philosophy he propounded, perhaps he would be ashamed. We have no doubt that Dr. Radhakrishnan was influenced by him; this is evident from his writings. Yet in his "Introductory Essay," page 25, he writes, "The emphasis of the Gītā is on the Supreme as the personal God who creates the perceptible world by His Nature (prakṛti). He resides within the heart of every being; He is the enjoyer and Lord of sacrifices. He stirs our heart to devotion and grants our prayers. He is the source and retainer of values. He enters into personal relations with us in worship and prayer."