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Wiktionary
unperceiving

a. Not perceive; devoid of perception.

WordNet
unperceiving

adj. lacking perception; "as unperceptive as a boulder" [syn: unperceptive] [ant: perceptive]

Usage examples of "unperceiving".

Thorley Rushworth play toward a fond and unperceiving husband: a smiling, bantering, humouring, watchful and incessant lie.

She was of Igwarl's age, looked his wiry double, had the same greenish-blond hair close-cropped, and bore before her like a sword at thrust a slender two-edged knife as she advanced inexorably upon the unperceiving boy.

I can't see how awareness of objects, of others, could arise: an unperceiving response.