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 ...