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Brahman is that which the universe grows forth from. (Provisionally: the higher teachings of advaita do not accept creation as an 'actual,' discrete event)
Although you have asked for the advaita perspective - which I subscribe to, it should also be noted that different philosophical schools define brahman differently.
In advaita, there is nothing but Brahman. Perception of multiplicity independent of Brahman is unreal; Brahman is the underlying unity. Perception of [provisional] multiplicity within Brahman, however, is 'real.' Brahman is the inner, the outer, and even the construct which pretends at separation between the two.
Brahman is absolutely full as well as completely empty; and from This fullness, only fullness [appears] to proceed from. That is to say, any seemingly individual construct - whether a supposedly insentient object, or a sentient being, is That fullness - not just a part. Spatial ideas such as parts do not really apply to that which, though including space, is utterly beyond.
It should also be emphasized that Brahman, as a philosophical concept, is a corpse of the truth. Brahman can never actually be described, or in any way circumscribed by words. We can only approximate. If we speak of Brahman, it should be as a means leading up to actual experience of Brahman - otherwise we have only dead philosophical toys to play with.
The core of the pure advaita vision (of Shankaracharya) centres on the statement atma=Brahman, with atma being the an unchanging part of the jiva. If you agree, is not pure advaita a metaphysical (magical) concept rather than religion?
Here is a Personalist point of view, for whatever it is worth:
The constitution of Brahman is immortality, imperishability, eternity, and happiness. Brahman is the beginning of transcendental realization. Paramātmā, the Supersoul, is the middle, the second stage in transcendental realization, and the Supreme Personality of Godhead is the ultimate realization of the Absolute Truth. Therefore, both Paramātmā and the impersonal Brahman are within the Supreme Person.
vadanti tat tattva-vidas
tattvaḿ yaj jñānam advayam
brahmeti paramātmeti
bhagavān iti śabdyate
"The Absolute Truth is realized in three phases of understanding by the knower of the Absolute Truth, and all of them are identical. Such phases of the Absolute Truth are expressed as Brahman, Paramātmā, and Bhagavān." [S.B. 1.2.11]
Lord Kṛṣṇa also says in the Bhagavad Gītā says:
brahmaṇo hi pratiṣṭhāham
amṛtasyāvyayasya ca
śāśvatasya ca dharmasya
sukhasyaikāntikasya ca
And I am the basis of the impersonal Brahman, which is immortal, imperishable and eternal and is the constitutional position of ultimate happiness. [B.G. 14.27]
I do not think that metaphysical = magical, as magical generally refers to supernatural phenomena of the physical.
What exactly do you mean by religion? A congregation of believers in some particular doctrine? The practice of a spiritual philosophy?
As I had said, advaita as a philosophical concept is useless without its practice.
Excellent answer given by Shuddasattva.
Brahman means the infinite, all encompassing, absolute reality. There is nothing outside of infinite, infinite is all pervading. Although Brahman has no attributes, the nature of Brahman is that it is existence/beingness/truth(Sat) consciousness/awareness(Chit) and unending/eternal/blissful(Ananda).
Advaita is to correctly discriminate the nature of Brahman, Satchitananda, from the empirical reality that we experience, ultimately realizing that all of empirical reality can be negated into nothingness, however what remains is the Self, Atman. Hence necessarily concluding that Atman = Brahman.
To add: Just as Brahman cannot be negated. The self can also not be negated. Hence the Self remains as an absolute undeniable and incontrovertible truth.
Note: Buddhists disagree that the Self is an absolute truth, but the denial is self-defeating, for who is the one that denies the self The self does not require proof, because it is self-evident in all experience. There cannot be experience without an experiencer; knowledge without a knower; denial without a denier.
I have heard that the practice of pure advaita in terms of atma=Brahman leads to gyana/jnanum, one becomes enlightened from that realisation and jivanmukti or moksha results. That is not religion is it?
Brahman means the infinite, all encompassing, absolute reality. There is nothing outside of infinite, infinite is all pervading. Although Brahman has no attributes, the nature of Brahman is that it is existence/beingness/truth(Sat) consciousness/awareness(Chit) and unending/eternal/blissful(Ananda).
Advaita is to correctly discriminate the nature of Brahman, Satchitananda, from the empirical reality that we experience, ultimately realizing that all of empirical reality can be negated into nothingness, however what remains is the Self, Atman. Hence necessarily concluding that Atman = Brahman.
Just want to note:
Yogacara and Madhyamaka [Buddhist] dialectic goes far in explaining how there can be experience without a substantial experiencer, but the upper echelons of Buddhist thought recognize the Self - it is called variously as dharmakaya, vajrakaya, tathagatagarbha, dharmadhatu, prabhassara-chitta, satya-atman(!), etc. It's actually an extension of the Prajnaparamita doctrine of the Absolute Void as the negation of negation by the Self-Existent.
This is mostly because Buddha and subsequent Buddhist masters wanted to separate the idea of the personal self from the absolute reality of Self Awareness.
I find that in advaita thought, the idea of the Self is often taken as a personalized object, which is doubly incorrect. It is not a defect of advaita itself, but insufficient understanding. Buddhist dialectic was to cut through this, but of course, it comes with its own brand of misunderstandings such that now most Buddhists dogmatically cling to the idea of no-self.
Secondly, the emperical reality that we experience cannot however be negated into nothingness for we are infact composed of various kinds of atoms only to be recycled in Nature until the Solar System collapses etc. All future predictions of the course of the universe seem to show that we will exist in atomic or subatomic or an energy form for billions of years until Brahman re-manifests itself (if it has the capacity) in some way by another Big Bang universe.
thirdly, once we are dead, there is no experiencer left (our atoms will become microorganisms and plants), only atma or Paramatma. The atma is not the Self so it must actually be the Paramatma spirit that had permeated the human body to do the experiencing while the jiva was alive.
Advaita is the siddhanta revealed by the Upanishads and supported by Smriti and Yukti. When one does not know the siddhanta then one sees differences in Brahman, and becomes subject to fear, and therefore raga/dvesha and suffering come. The purpose of Advaita (teaching) is to remove the ignorance that causes the suffering by revealing the vision of the Vedic texts.
The great pronouncement of the last century was E = MC2, to understand how energy and matter convert into one another. The great pronouncement of this century is going to be how energy and mind convert into one another.
Surya Deva,
Please note that to posit an all pervading, absolute and eternal reality (Sat) and also the negation of the empirical world into 'nothingness' is a contradiction, since an all-pervading existence cannot admit of either difference or non-existence within itself. The world of names and forms is resolved into Sat, not asat, hence the revelation 'I was Manu, and the Sun' and 'All this is Brahman', and thousands of others.
Will science be able to discern between the conversion of energy into the mind of a criminal and that of a saint?
There is nothing illusory about about the pragmatic/empirical world. It is the truth we experience so the most real thing that there is. What is at fault is the conception of nothingness.Absolutely, it is a contradiction, this is why it is maya, illusory. The mirage cannot be resolved into something real, because there is no actual substratum for the mirage.
The Samkhyans argue parinamvada that the unmanifest primordial matter transforms itself into the manifest existence, and then evolves into many evolutes. The argument they adduce to support this is the argument that the effect is pre-existent in the cause, in the same manner the apple tree is pre-existent in the apple seed. Hence we can resolve all effects to their causes, in this case the cause being the unmanifest primordial matter.
The Vedanta, however, argue that the effect is merely an appearance of the cause, and it is not really existent. Like an optical illusion on 2D paper which appears to look 3D, the 3D is non-existent, but the 2D paper its cause is existent(the stock example used in Vedanta is the snake seen in the rope beig non-existent) Similarly, in the example of the apple seed and the apple tree, the apple seed and the apple tree are not completely identical to one another, so the effect is apparently different to the cause.
In the very famous Upanishad mantra it says: This is full, that is full, from fullness comes fullness, if fullness is taken from fullness, fullness alone remains, a very important clue is given to the nature of reality. It is impossible that infinite Brahman could have ever really transformed itself and become immanent as this finite reality. It is impossible for the infinite to become finite; infinite can only ever remain infinite. Thus the answer is given that our perception of finite reality stems from ignorance, avidya. There is in fact no finite reality. It is a delusion of our mind, bound by time, space and causality, unable to witness the transcendental reality of Brahman.
Who cares if a fool calls a murderer a saint?Nope, because 'criminal' and 'saint' are just subjective labels. What one calls a criminal, another may call a saint.
What science can do however is innovate new scientific methods via which mind and matter transformations can be directly seen. That would be as momentous a discovery as the discovery of the atom bomb. Currently, scientific instruments are not subtle enough to be able to detect such subtle phenomenon. However, this does not mean it will not be possible. At one point science had no idea about infrared radiation or UV radiation, but instruments exist today that can detect them. To be able to detect the very subtle machinations of nature will require incredibly fine instruments.
The knowledge that the sages had was either through rational philosophical investigations(such as Samkhya) or through direct meditation. Today, we have come upon some of the same knowledge using the modern scientific method. I am very optimistic about the future of science, and how science will revolutionize religion.