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Śrīmad-Bhāgavatam
[Canto 2, Ch. 5]
nāṇṛtam tava taccāpi yathā mām prabravīṣi bhoḥ avijñāya param matta etāvat tvam yato hi me
na—not; aṇṛtam—false; tava—of yours; tat—that; ca—also; api—as you have stated; yathā—in the matter of; mām—of myself; prabravīṣi—as you describe; bhoḥ—O my son; avijñāya—without knowing; param—the Supreme; mattaḥ—beyond myself; etāvat—all that you have spoken; tvam—yourself; yataḥ—for the reason of; hi—certainly; me—about me.
TRANSLATION
Whatever you have spoken about me is not false because unless and until one is aware of the Personality of Godhead, who is the ultimate truth beyond me, one is sure to be illusioned by observing my powerful activities.
PURPORT
“The frog in the well” logic illustrates that a frog residing in the atmosphere and boundary of a well cannot imagine the length and breadth of the gigantic ocean. Such a frog, when it is informed of the gigantic length and breadth of the ocean, first of all does not believe that there is such an ocean, and if someone assures him that factually there is such a thing, the frog then begins to measure it by imagination by means of pumping its belly as far as possible, with the result that the tiny abdomen of the frog bursts and the poor frog dies without any experience of the actual ocean. Similarly, the material scientists also want to challenge the inconceivable potency of the Lord by measuring Him with their frog-like brains and their scientific achievements, but at the end they simply die unsuccessfully, like the frog.
Sometimes a materially powerful man is accepted as God or the incarnation of God without any knowledge of the factual God. Such a material assessment may be gradually proceeded on, and the attempt may reach to the highest limit of Brahmājī, who is the topmost living being within the universe and has a duration of life unimaginable by the material scientist. As we get information from the most authentic book of knowledge, the  Bhagavad-gītā  (Bg. 8.17), Brahmājī’s one day and night is calculated to be some hundreds of thousands of years on our planet. This long duration of life may not be believed by “the frog in the well,” but persons who have a