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<span style="color:navy"><span style="font-family:'Courier';"><span style="font-size:1.5em">The titles non-dual and Advaita attempt to describe the principle of wholeness, unicity or that which is already at one.
A unified reality in which there are "not two" or there is "no other" surely confirms the illusory nature of separation. If separation is illusory, then any attempt to not be separate is rooted in a dualistic perspective. So the basic principle of any teaching which attempts to transform an illusory state of being separate into a state of at-oneness is based on the belief in a divided reality and cannot therefore claim to be non-dual.