Math tales: a short story about everything

At the edge of the Universe, located in its center, there is an amazing Machine: with an unimaginable speed it repeats again and again some very simple operations. At  first it extracts Something from All Things That Already Exist, then from the same source — from the All Things That Already Exist — it takes Some Set. Having these two, it proceeds to the third operation — the Union — and gets as a result a New Set. The fourth operation is combining items of the New Set in all possible ways. It worth to mention here that the Machine is able to extract items without corruption of their source.

So, after the fourth step the Machine has a Set Of Subsets of the New Set.

At the fifth operation it creates One More Set, but… its content is undefined. Yes, it is undefined because at this stage the Machine doesn’t know it. At the sixth step it resorts to the Union again — now it applies it to the One More Set and the New Set mentioned above. On the seventh step our mechanism behaves quite tricky: it jumps to two-step-earlier past — thankfully it’s easy enough for the Machine as each operation lasts exactly 0 seconds — and at the fifth step (two-step-earlier than the current seventh step) and talks to itself from the past that what is the content of the One More Set is — thus revealing that it is the United set produced  at the sixth step.

And the final chord — Operation №8 (of course after completing the 7th the Machine returns to the present time): putting all the entities produced by 1..7 operations into the All Things That Already Exist — obviously excluding anything that is already there — and in such way Everything is born in the Universe.

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