Doron your claim of "you did not exposed to it" clearly exposes that exposed (past tense of expose) is just on the list of things that you, being “directly aware” “without any thoughts about it”, just can not understand.
ETA:
Agian, please get back to us when you actually have any practical applications.
It is practical to be directly aware of the source of your thoughts that is not itself a thought. Then you are able to establish theoretical and practical frameworks, which are tuned to precisely express the source of your thoughts without loosing your direct awareness of the source of your thoughts, also at the level of thoughts.
This finest ability to be directly aware of the simplest state of awareness, has a fundamental influence on any chosen framework, and in this thread the chosen framework is Logic and Mathematical Science.
By not loosing the direct awareness of its own simplest state, one is aware of both absolute and relative aspects of it, where the relative aspect is the expressed field of thoughts.
At the first level one gets the simplest state of awareness only at the personal level (I is that), such that the intellectual aspect (analysis or serial thinking) is fulfilled.
At the second level one gets the simplest state of awareness also at the non-personal level (You are that), such that the feeling aspect (Intuition or parallel thinking) is fulfilled.
At the the third level one gets the simplest state of awareness also at the non-personal level of also unaware things (All is that) such that the unity of both intellect and feeling ( (analysis or serial thinking)
AND (Intuition or parallel thinking) ) are fulfilled.
Please pay attention that I use
AND connective, which is currently understood only in terms to the first level.
A
AND ~A is a contradiction only by direct awareness' first level, which is characterized by personal (local) awareness of the simplest state of awareness (I is that).
A
AND ~A is not a contradiction by direct awareness' second level, which is characterized also by non-personal (non-local) awareness of the simplest state of awareness (You is that).
A
AND ~A is not a contradiction by direct awareness' third level, which is characterized also by non-personal (non-local) awareness of the simplest state of awareness also about unaware things (All is that).
Actually at the third level there is only Unity, which is beyond A;~A and logical connectives, which are first and second levels' concepts.
Furthermore, Unity is beyond any attempt to get it by Logic;Intuition or any distinction that is based A;~A and the intermediate states (serial or parallel) between A;~A.
Moreover, the use of concept like Unity can't capture that is naturally beyond any attempt to define it (it is naturally undefined and also "naturally undefined" can't capture it).
The Man said:
So now your “magnitude of existence” can have a negative value?
Let us say it that way:
Emptiness is the totality of non-existence.
Fullness is the totality of existence.
Collection is a relative (serial and/or parallel) existence between these totalities.
Unity is beyond any definition, whether it is described totally or relatively.
I hope that this post give some example of the gap of communication between you and me, about the Mathematical Science and the meaning of practical applications during our daily life.