Data defines aware as
Aware: (sometimes followed by `of') having or showing realization or perception. 'was aware of his opponent's hostility', 'became aware of her surroundings', 'aware that he had exceeded the speed limit'.
my five cents
like anything it can be viewed closer, showing gray area,
"variations"
if you draw a line at one center meter then if you look at the measurement under a microscope the line shall start to come appart.
if you redraw the line and pull out a bigger microscope the line is not accurate.
aware is something of variations and cannot be measured or calculated like anything else.
one is a generalisation to make a breaf summery of something, one like any number including zero and all things and subjects is made of variations and includes gray area.
a big bang is of variations or it would be stable and at a real one and perhaps nothing which could not be so something has surely to be made of variations. nothing is all of anything is interesting to ponder.
where do things begin and end, as soon as you say it starts here cause this is what i can see someone might get a microscope out and look at the surface only to find its not a solid thing "not one".
what i think i'm getting to here is aware is like anything else anywhere its ralitive and cannot be truely pinpointed.
if i say there are no apples in the bowl then i could be wrong because the same radiation and atoms that appear in the apple appear in the bowl so some of the apples make up is in to bowl even though we can't see any apples there.
Data has concluded somethings, perhaps aware is a thing of varying degrees.
if i tell Data my guitar is red then perhaps Data is aware my guitar is red.
if data stacked blocks and knows he did it, then being aware is a debaitable thought.
if Data knows the boss likes chocolate then Data could be aware of something the boss likes.
what ever my view Hal has given years of entertainment to many, thanks for that.
Bye for now and be well from Will and Mr Data [

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