When investigated, the mind is nothing but a bundle of thoughts. It has no independent existence whatsoever apart from the consciousness. The mind can only conceptualize anything in terms of space and time. Every object that is conceived must occupy space and must be present for a duration of time for it to be conceived by the mind. The absence of conceptualization is the absence of space and time. In deep dreamless sleep, there are no thoughts and there is no identity whatsoever. You are essentially a no-thing and yet you still are for you wake up in the morning and immediately can say "I am". By knowing that you are a no-thing, is it not the absence of conceptualization? Therefore, is it not true that conceptualization is possible only in the presence of consciousness? If so, is it not absurd for the mind which is itself an object in consciousness, to try to conceptualize the consciousness? Is it possible for the eye to see itself? How can an object see the subject? If so, the object would be the subject itself!! The shadow can never know the substance of which it is the shadow!!
Your true identity, which is Awareness ( or whatever word you want to give it, it does not matter) is beyond conceptualization because all concepts are an appearance in Awareness.
To put it simply, the world is an appearance in the mind, which in turn cannot but have any independent existence apart from the consciousness, which in turn is but a reflection of Awareness.