Definition - S. N. Sastri  
              'bAdha' is a technical term in advaita vedAnta
                which is used in a specific sense by all writers
                on advaita from Sri Shankara onwards. The actual
                definition of this term is given in vedAntaparibhAshA,
              which is the authoritative work on such matters. The following is the definition:--  
              The destruction of an effect is of two kinds.
                In one the destruction is together with that
                of the material cause, and in the other the material
                cause remains intact. The first is bAdha or ‘sublation’,
                and the second is nivRtti or ‘cessation’.
                The cause of the first is the realisation of
                the truth of the substratum, brahman, for without
                that, Nescience which is the material cause is
                not removed. The cause of the second is the rise
                of a contrary mental modification, or the removal
                of defects, like the cessation of a pot by the
                blow of a club, in which case the material cause
                of the pot, namely clay, still remains. Another
                example is, when a person first sees a snake
                in a rope and subsequently thinks that it is
                not a snake but a crooked stick. In this case
                also the material cause, ignorance of the rope,
                remains and so there is only nivRtti or cessation
                of the illusion of a snake, and not bAdha. If
                he realizes that it is only a rope, then there
                is bAdha because the ignorance of the substratum,
                rope, has also been removed.  
              The same definition has also been given in vivaraNa
                of prakASAtman and in vivaraNaprameyasangraha
                of svAmI vidyAraNya. The definition is:  
              ajnAnasya svakAryeNa saha tattvajnAnena nivRttiH
                bAdhaH-  
              This has been translated by G.Thibaut as follows:--  
              "Sublation (bAdha) is the termination,
                by means of the cognition of truth, of Nescience
                together with its effects".  
              It follows from the above that when brahman
                is realized there is bAdha or sublation of Nescience
                along with its effect, the world.  
              advaita vedAnta has, like any other science, its
              own terminology and consequently its own technical
              terms. The meaning of such technical terms has
              to be understood by seeing in what sense writers
              in Sanskrit on advaita have used them. Other such
              technical terms are upAdhi, prAj~na, etc. The term
              'upAdhi' has a totally different meaning in nyAya
              philosophy from that given to it in advaita. The
              word 'prAj~na' has a meaning in mANDUkya upaniShad
              which is quite different from the dictionary meaning.
              All this is already known to most members, but
              I am stating this only for the information of beginners
              in advaita.
               
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