"conscious self" is correct and usable in written English.
You can use it when you are trying to refer to the self-aware part of a person. For example: "The conscious self is capable of making decisions, while the subconscious is responsible for instincts and intuition."
The human brain is perhaps the most complex system there is, and the emergence of a conscious self is its highest achievement.
He preferred to imagine his poetry being made by his unconscious bumping up against the world, with his conscious self not much involved, except as an editor.
This sets up a fascinating battle between, as it were, the mind and the body, the conscious self and the survival machine.
"Language and memory are critical tools of this idea of a conscious self — the 'I' behind these subjective experiences," says Sargent.
To "escape from idealism," then, "life includes both the subject [the conscious self] and the world".
In addition to the conscious self, she is also interested in the psychic workings of the unconscious as postulated in psychoanalysis.
At about that time, American decline entered a new phase: conscious self-inflicted decline.
In the years of conscious, self-inflicted decline at home, "losses" continued to mount elsewhere.
Gertrude and Alice's Paris salon was a model of middle-class decorum, but this conscious self-confinement seemed to negatively affect Stein's writing.
Without a hint of conscious self-parody, the administration said Nato partners fully supported the US move but had not yet offered to match it.
This frames our political imagination, shapes our understanding of what is possible and provokes an only partially conscious self-censoring that feeds on our sense of anxiety.
