Anatta - No-self or Not-self

What is anatta? Below is a quotation from "No-self or Not-self?"

QUOTE
So, instead of answering "no" to the question of whether or not there is a self - interconnected or separate, eternal or not - the Buddha felt that the question was misguided to begin with. Why? No matter how you define the line between "self" and "other," the notion of self involves an element of self-identification and clinging, and thus suffering and stress. This holds as much for an interconnected self, which recognizes no "other," as it does for a separate self. If one identifies with all of nature, one is pained by every felled tree. It also holds for an entirely "other" universe, in which the sense of alienation and futility would become so debilitating as to make the quest for happiness - one's own or that of others - impossible. For these reasons, the Buddha advised paying no attention to such questions as "Do I exist?" or "Don't I exist?" for however you answer them, they lead to suffering and stress.
To avoid the suffering implicit in questions of "self" and "other," he offered an alternative way of dividing up experience: the four Noble Truths of stress, its cause, its cessation, and the path to its cessation. Rather than viewing these truths as pertaining to self or other, he said, one should recognize them simply for what they are, in and of themselves, as they are directly experienced, and then perform the duty appropriate to each. Stress should be comprehended, its cause abandoned, its cessation realized, and the path to its cessation developed. These duties form the context in which the anatta doctrine is best understood. If you develop the path of virtue, concentration, and discernment to a state of calm well-being and use that calm state to look at experience in terms of the Noble Truths, the questions that occur to the mind are not "Is there a self? What is my self?" but rather "Am I suffering stress because I'm holding onto this particular phenomenon? Is it really me, myself, or mine? If it's stressful but not really me or mine, why hold on?" These last questions merit straightforward answers, as they then help you to comprehend stress and to chip away at the attachment and clinging - the residual sense of self-identification - that cause it, until ultimately all traces of self-identification are gone and all that's left is limitless freedom.
In this sense, the anatta teaching is not a doctrine of no-self, but a not-self strategy for shedding suffering by letting go of its cause, leading to the highest, undying happiness. At that point, questions of self, no-self, and not-self fall aside. Once there's the experience of such total freedom, where would there be any concern about what's experiencing it, or whether or not it's a self?
UNQUOTE

I have thought of this problem and came to the same conclusion of not holding to self because self is pride. But if not self, then what? The Bible gives the true answer.

I have been crucified with Christ. It is no longer I who live, but Christ who lives in me. And the life I now live in the flesh I live by faith in the Son of God, who loved me and gave himself for me. (Galatians 2:20 ESV)
So, whether you eat or drink, or whatever you do, do all to the glory of God. (1 Corinthians 10:31 ESV)
"You are worthy, our Lord and God, to receive glory and honor and power, for you created all things, and by your will they were created and have their being." (Revelation 4:11 NIV)