One more advanced math concepts is the theory of the infinity between 0 and 1. The way that this is possible is that the decimals directly after zero, such as 0.1, 0.01, 0.001 and so on, can go on forever. Even if it was possible to find an end of the 0.1's, you would immediately go to 0.11 or 0.2, which ever way you look at it. Another idea that supports the infinity between zero and one is a paradox. In the same way that the decimals can keep getting smaller and smaller, you cannot possible leave the room you are in, because each step necessary to leave can be divided smaller and smaller. For instance, if you are halfway through a 6 foot room, the necessary 3 foot step could be two 1.5 ft steps, and that could be four .75 foot steps etc. The infinity between two whole numbers is an interesting and complex concept.
 


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