It's nice to back here - it's been a while.
It occurs to me that this may be just a question of terminology, and sequence. To “remember oneself”, should be capitalized, “one’s Self” -- at least for a mind which believes in hierarchy and differentiation – which Self, capitalized, essentially is the God that we all are. To remember one’s Self, therefore, is to remember God. By doing so consistently, there is less separateness, more unity, and thus, more holiness, or wholeness – the ultimate goal of any seeker. However, in that process, one concurrently remembers oneself, because one understands and “knows” that one’s self is THE Self, or God being one’s self.
Likewise, “to know oneself”, is to know who one truly is, which is the same -- God manifesting as a being with a “self” which believes itself to be separate. If that investigation into knowing oneself, results in the understanding that there is nothing BUT God -- which, if pursued diligently, ultimately does result in that understanding -- and that we, as everything else is, is God manifested, then to know oneself, is to remember one’s Self, because one knows one’s Self, and in so doing, remembers one's self. The only difference might be in terms of persistence – to remember one’s Self, requires constancy and discipline, something that the seeker needs, and frequently lacks. Whereas to “know oneself”, particularly in the beginning, can be an entertainment, and thus, sometimes is more distracting, and less fruitful therefore. Remembering one’s Self, thus, is less distracting, because it is frequently “boring”, and certainly not entertaining or distracting, and thus becomes a useful discipline of the mind. (The mind of man loves distraction, in any form, and hates repetitiveness, or “boredom”, in any form. If one follows this concept to its bitter end, one realizes how controlled and driven we are by mind.)
Therefore, the “mantra” of “remembering one’s Self”, is a form of prayer, or a meditation, or a focus, or a constant “remembering” to the exclusion of the divisionary dualistic mind that constantly separates and defines. The act of remembering interferes with the mind’s chatter, and brings one back to the heart center, which is quiet, and non intellectual. All it is is a discipline, to control the vagrant mind, which, afterall, is the cause of all our misunderstanding and misery. Without control of the mind, we are servants to the mind.
Unfortunately, the process of “knowing oneself”, unless grasped fully to mean knowing “who" one is, and that “who” is God manifesting as that "who”, can often develop into an elaborate extension of the divisionary dualistic mind, because it is frequently used as a means for accumulating more “knowledge” as opposed to “knowing-being” – the difference being crucial to the spiritual seeker. The ultimate end of the spiritual seeker is indeed her actual end – and knowing oneself can sometimes interfere with that goal if that knowledge does not result in a shedding of concepts and mind images. True “knowing oneself”, therefore, is understanding, or revelation that one’s self, is in actual fact, THE Self, or God being whoever it is that is inquiring, and the mind ceases dominion upon that understanding.
Thus, it seems to me, that the two go hand in hand. One cannot remember who one is, until one knows who one is. But once one knows who one is, then to remember that is to persist in, or stand in the position of, that understanding, and thus, to persist in further knowledge about who one is, is redundant, and counterproductive, because it interferes with the process of union and “beingness”.