First Definition - 
Putran Maheshwar
 
              anirvachanIya may be translated as "inexplicable" or "indefinable".  
              I. Basic review  
               Advaita philosophy affirms a non-dual substratum
                Reality (brahman) behind the manifold universe
                of our experience. The common analogy is that
                of the rope being seen as a snake in dull light;
                similarly Brahman is seen as the universe in
                the context of upAdhi-s (or avidyA, or mAyA).  
              This "context of upAdhi-s" defines
                the subject-object divide in consciousness. It
                is non-absolute (relative, "ever changing")
                and hence unreal. The effect/correspondence to
                this divide is the superimposition of duality
                (ego-world/God), again non-absolute and unreal.
                (The upAdhi-s or limiting-adjuncts determine
                the frames of reference relative to which Brahman
                appears in such and such manner.)  
              II. The individual  
              Now who asks a question? The individual.  
              The individual is ('continually') predefined
                through/in the upAdhi-s and so is the universe
                that is (seemingly) "observed and analysed".
                For the individual however, observation, analysis
                and conclusion are real processes. The referential
                context, though evidently non-absolute, is continually
                regarded as real unto itself, and duality/change
                is affirmed as the only truth.  
              III. What to ask?  
              Any valid question that the individual may hope
                to answer must therefore lie within the bounds
                of the starting assumption of individuality.
                We may ask about the body, mind, world, and of
                change/relativity. Firm belief in karma-karmaphala
                (cause-effect) corresponds with our starting
                assumption and serves as the basis for our answers.  
              We may also enquire regarding the enquirer,
                the witness to all. Who am I? A rational enquiry
                will perhaps conclude that the Self is non- different
                from the context of upAdhi-s that defines the
                individuality and thereby characterizes the Self
                either as ephemeral consciousness or as the product
                of material law. Thus the individual ever aware
                of its own non-absolute status convinces itself
                that the Self is also unreal, and that the inescapable
                proclamation of "I am" from within
                is sheer imagination.  
              IV. Anirvachaniya (one attempt)  
              According to advaita however, the Self/I is
                the non-dual Reality (brahman) that in the referential
                context appears divided as ego and world. This
                conclusion is transcendental, beyond the individual's
                reach. Itself a product of superimposition and
                pertaining to upAdhi-s, the individual cannot
                fathom the Self/Brahman nor can it hope to answer
                questions of "how/why this Real appears
                thus unreal?" The answer to such questions
                is "anirvachanIya" - inexplicable.
                At best, the individual can assess what is truth
                in the referential contexts: karma, Ishvara,
                big-bang, etc, or what the scripture says is
                the underlying Truth (devoid of individuality)
                of all referential versions of existence.  
              V. Anirvachaniya (another attempt)  
              Duality is real/true in the individual's referential
                context (vyAvahArika) and yet unreal/non-existent
                in the "context of Brahman" (pAramArthika),
                i.e. devoid of the "context of upAdhi-s".
                In view of this dichotomy, advaita classifies
                the status of duality as anirvachanIya or indefinable.
                It exists (as if real) relative to a referential
                context (individuality) that is concurrent with
                it and 'vanishes' (into the Real) with the surrender
                of individuality `in' Brahman. Questions regarding
                its origin and nature can either be answered
                within a relative context (for instance, Ishvara,
                big-bang, etc.) or by simply pinpointing the
                fact of questioning itself. Why universe? - Because
                individual. Why duality? - because you see it.
                It is the avidyA or ignorance of the questioner
                that this world is.  
              This type of answer is given because the questions
              do not belong in the context of brahman. If the
              questioner retains individuality (as real), the
              best answer is Ishvara (or karma-karmaphala) and
              not (nirguNa) brahman - Ishvara brings forth this
              duality through His power of mAyA and is the antaryAmin
              (inner controller) of all beings. Such an answer
              is either a correct reply to a weaker empirical
              question, or simply a disguised way of saying, "we
              don't know, ultimately" to those who seek
              a deterministic response. Duality is an inexplicable
              fact of experience for the mind experiencing; it
              is anirvachanIya. The goal is to realize the non-dual
              Truth/Unity (that "aham brahmAsmi") and
              not to dwell upon the duality for its own sake;
              the latter method cannot resolve the problem of
              ignorance.  
                
               Note from Sunder
              Hattangadi:               
              The word 'anirvachanIya' occurs in the following
                upaniShad-s: 
                   
  Mandala-Brahmana 4:1;  
  Tripad-vibhuti-mahanarayana 7:7; 
  Niralamba 5; 
  Yogatattva 1:7; 
  Paingala 1:2 
              Shankara has used the word anirvachanIya in: 
                   
  Upadeshasahasri # 18 in Prose section, and 
  Vivekachudamai #109 (# 111 in Bharatiya Vidya Bhavan edition).                  
  Dr. K. Sadananda adds: 
  The simplest definition of anirvachanIya is anirvachanIya
    itself: “that which cannot be defined.”     
    Definition – S. N. Sastri 
    The word 'anirvachanIya' is derived from the verbal root
      'vac' which means 'to say' or 'to describe'. 'vachanIya'
      means 'what can be described', 'nirvachanIya' means 'what
      can be specifically described'. 'anirvachanIya' therefore
      means 'what cannot be specifically described'. The word
      'anirvachanIya' can be used in any situation where we want
      to say that something is incapable of being described in
      specific terms. In advaita vedAnta it has been given a
      specific meaning. In the context of advaita vedAnta we
      have to add the words 'as real or as unreal', .so that
      the meaning becomes 'what cannot be specifically described
      as real or as unreal'.  
    Though the word 'anirvachanIya' is often used by itself
      in advaitic literature, it is understood to stand for 'sattvena
      asattvena vA anirvachanIya). The world is 'sattvena asattvena
      vA anirvachanIya, i.e., it cannot be described as either
      real or unreal. It does not have the same reality as brahman,
      nor is it unreal like the horn of a rabbit. It has vyAvahArika
      reality only. anirvachanIya thus has the same meaning as
      'mithyA'. 
    As regards the term 'upAdhi', its derivation is – upa
      samIpe svIyam dharmam AdadhAti—which means—upAdhi
      is that which transmits its own quality to some thing near
      it. The pot gives to the total space surrounding it its
      own qualities of being of a particular size and shape.
      Space looks as if it has taken on the size and shape of
      the pot. The mind gives its quality of thinking to the
      Self and so it appears as if the Self is thinking, and
      so on with all other upAdhis such as gross body, etc.       
    Other essays on this topic may be found at the Oneness Commitment site.  
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