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>>but he probably overlooked the fact, that he himself (along with his thoughts) are as a result of such contemplation... (if we were to go by his theory)... and this self defeating logic is the major flaw in his theory<<
Other than Brahman, everything else, including the universe, material objects and individuals, are false. Brahman is at best described as that infinite, omnipresent, omnipotent, incorporeal, impersonal, transcendent reality that is the divine ground of all Being. Brahman is often described as neti neti meaning "not this, not this" because it cannot be correctly described as this or that. It is the origin of this and that, the origin of forces, substances, all of existence, the undefined, the basis of all, unborn, the essential truth, unchanging, eternal, the absolute. How can it be properly described as something in the material world when itself is the basis of reality? Brahman is also beyond the senses, it would be akin a blind man trying to correctly describe color. It (grammatically neutral, but exceptionally treated as masculine), though not a substance, is the basis of the material world, which in turn is its illusionary transformation. Brahman is not the effect of the world. Brahman is said to be the purest knowledge itself, and is illuminant like a source of infinite light.
Due to ignorance (avidyā), the Brahman is visible as the material world and its objects. The actual Brahman is attributeless and formless (see Nirguna Brahman). It is the Self-existent, the Absolute and the Imperishable (not generally the object of worship but rather of meditation). Brahman is actually indescribable. It is at best "Satchidananda" (merging "Sat" + "Chit" + "Ananda", ie, Infinite Truth, Infinite Consciousness and Infinite Bliss). Also, Brahman is free from any kind of differences. It does not have any sajātīya (homogeneous) differences because there is no second Brahman. It does not have any vijātīya (heterogeneous) differences because there is nobody in reality existing other than Brahman. It has neither svagata (internal) differences, because Brahman is itself homogeneous.
According to Adi Shankara, Māyā is the complex illusionary power of Brahman which causes the Brahman to be seen as the material world of separate forms. It has two main functions — one is to "hide" Brahman from ordinary human perception, and the other is to present the material world in its stead. Māyā is also said to be indescribable, though it may be said that all sense data entering ones awareness via the five senses are Māyā, since the fundamental reality underlying sensory perception is completely hidden. It is also said that Māyā is neither completely real nor completely unreal, hence indescribable. Its shelter is Brahman, but Brahman itself is untouched by the illusion of Māyā, just like a magician is not tricked by his own magic. Māyā is temporary and is transcended with "true knowledge," or perception of the more fundamental reality which straddles Māyā.
Since according to the Upanishads only Brahman is real, but we see the material world to be real, Adi Shankara explained the anomaly by the concept of this illusionary power Māyā.
source wikipedia.
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