Twin Prime Conjecture
White Walls amidst infinity
Load Full StoryNext ChapterThe set-theoretic axiom of infinity states that there is an inductive set, a set such that for every element, its successor is also an element of the set. Just as for every wall amidst nothing that she was passing by, there would be another, and then another and another and yet another and then the amount left would still be infinite. This set is called the natural numbers, because that’s what they are, numbers that can always increase by one. If she had walked across this white plane for a month already, then that was insignificant, because almost all numbers were larger than that. if she had walked for a thousand years, then that was insignificant, because almost all numbers were larger than that. It didn’t even matter whether one counts hours, seconds, or nanoseconds, because almost all numbers are larger than any finite number. If she walked amidst these walls, for as long as it took for the rest of the universe to crumble to dust, or to reach permanent prosperity if that could be avoided, then this time would be insignificant, because almost all numbers were larger than that.
It was not possible for her mind to comprehend any of this, or to feel an amount of horror that was appropriate, because for every amount of horror she felt, no matter how it was measured, almost all numbers were larger than that. But even what she did feel would not be finite, because the amount of time she would feel it for was not finite, she would walk further and by more walls and feel and more fear and then more and walk further and more steps towards more walls and infinite endless eternal infinity countable but never ending inductive and insanity. If she walked on for long enough, and every finite time would be exceeded, what state would her mind enter? What stable equilibrium did such a function have? Would she cease to comprehend altogether, rendering her moments of comprehension ultimately finite because, from some point onward, all remaining elements would be multiplied by zero? But even then her experience would never cease. Perhaps she would degenerate into an animal, walking amidst this plane forever and ever and only ever feeling only ever perceiving but never understanding. Perhaps this was what every particle in the universe felt, a constant stream of information that could never be comprehended, experiencing everything but never understanding anything.
White walls, White walls, White walls, White walls, White walls, White walls, forever and ever and ever forever and ever.
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