Analysis of information sources in references of the Wikipedia article "Nirvana" in Danish language version.
One important caveat must be noted: for many lay Buddhists all over the world, rebirth in a higher realm - rather than realizing nirvana - has been the primary religious goal. [...] while many Buddhists strongly emphasize the soteriological value of the Buddha's teaching on nirvana [escape from samsara], many other Buddhists focus their practice on more tangible goals, in particular on the propitious rebirth in one's next life.
[Nirvana is] beyond the processes involved in dying and reborn. [...] Nirvana is emptiness in being void of any grounds for the delusion of a permanent, substantial Self, and because it cannot be conceptualized in any view which links it to 'I' or 'mine' or 'Self'. It is known in this respect by one with deep insight into everything as not-Self (anatta), empty of Self.
There has been some dispute as to the exact meaning of nirvana, but clearly the Buddhist theory of no soul seems to imply quite a different perspective from that of Vedantist philosophy, in which the individual soul or self [atman] is seen as identical with the world soul or Brahman [god] (on the doctrine of anatta[no soul] ...
Even the Atman depends on the Brahman. In fact, the two are essentially the same. [...] Hindu theology believes that the Atman ultimately becomes one with the Brahman. One's true identity lies in realizing that the Atman in me and the Brahman - the groud of all existence - are similar. [...] The closest kin of Atman is the Atman of all living things, which is grounded in the Brahman. When the Atman strives to be like Brahman it is only because it realizes that that is its origin - God. [...] Separation between the Atman and the Brahman is proved to be impermanent. What is ultimately permanent is the union between the Atman and the Brahman. [...] Thus, life's struggle is for the Atman to be released from the body, which is impermanent, to unite with Brahman, which is permanent - this doctrine is known as Moksha.
Like all other things or concepts (dhammā) it is anattā, 'not-self. Whereas all 'conditioned things' (samkhāra - that is, all things produced by karma) are 'unsatisfactory and impermanent' (sabbe samkhāra dukkhā . . . aniccā) all dhammā whatsoever, whether conditioned things or the unconditioned nibbāna, are 'not-self (sabbe dhammā anattā). [...] The absolute indescribability of nirvana, along with its classification as anattā, 'not-self, has helped to keep the separation intact, precisely because of the impossibility of mutual discourse.
He makes no mention of discovering the True Self in the Anattalakkhana Sutta. As we have seen, the Buddha explains how liberation comes from letting-go of all craving and attachment simply through seeing that things are not Self anatta. That is all there is to it. One cuts the force that leads to rebirth and suffering. There is no need to postulate a Self beyond all this. Indeed any postulated Self would lead to attachment, for it seems that for the Buddha a Self fitting the description could legitimately be a suitable subject of attachment. There is absolutely no suggestion that the Buddha thought there is some additional factor called the Self (or with any other name, but fitting the Self-description) beyond the five aggregates.
Buddhism: the soteriological goal is nirvana, liberation from the wheel of samsara and extinction of all desires, cravings and suffering.