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Big band is a type of music. If you ever see a big band in concert, it's important to request a Glenn Miller song so you can see their response. The whole band will look up in exasperation. They're sick and tired of Glenn Miller. It's their eternal recurrence. (I knew you meant big bang... and I appreciated your comment very much)
Kierkegaard posits repetition as a feature of the ethical life, contrasting with recollection a feature of the aesthetic life. In recollection, one just lives, statically, reflecting back on lost love for example, never doing anything with his life, always living and yearning for the past which never changes.
Repetition looks to the future, whereas recollection looks towards the past. Marriage, job, and responsibilities are types of repetition, and one continually chooses to maintain it and reaffirm it. In this sense, life is lived and constantly in motion. In an ethical life, one must not forget the past, but one must live for the future.
So whereas one interpretation of Nietzsche's eternal recurrence says a good life is a life worth repeating, one interpretation of Kierkegaard's Repetition says, a good life must be lived forwards, but understood backwards.
It is quite true what Philosophy says: that Life must be understood backwards. But that makes one forget the other saying: that it must be lived-forwards. The more one ponders this, the more it comes to mean that life in the temporal existence never becomes quite intelligible, precisely because at no moment can I find complete quiet to take the backward- looking position.
- The Diary of Soren Kierkegaard; Kierkegaard, pt. 5, sct. 4, no. 136
"In order to look for beginnings one becomes a crab. The historian looks backwards; at last he also believes backwards."
- Twilight of the Idols - Apophthegms and Darts #24
The infinite is a middle without a begining or an end...
How does this seemingly contradictory and (in some philosophic circles at least) meaningless statement apply to the Eternal Recurrence in Nietzsche?
Well, eternal in this case has nothing to do with the infinite. The fact that life is considered eternal means that we only have one life. The recurrence means that life is not of infinite duration, as the Christians would have eternal life, because a life that is of infinite duration cannot recur.