Between two objects in Tspace there is an exact, spatial distance without numbers. This renders it impossible for real numbers to create an infinity between the objects, such as a half of a half of a half of a . . . . When the two objects come together and touch there is no longer a distance between them. That might sound simplistic, but this logic helps to prove that motion exists in the real world.
   Irrational numbers can be used in Tspace if, and only if, a finite part of the number is used. Take pi for example. Pi is used to solve many problems in Tspace, but only if a finite part of this number is used; perhaps, 3.14159.
   Infinity is a difficult concept to work with, even as the Big 3 have come to realize over the years. And because of the infinity aspect, Cantor's CH has been a puzzle for more than a hundred years.

Cantor's Continuum Hypothesis

   Cantor created a theory about the possible sizes of infinite sets. With the results of his research, he concluded that some infinite sets can be larger than others. Even though this idea sounds absurd, and even though it brought him a lot of ridicule from other mathematicians, it nevertheless helped to pave the way for the mathematics of set theory.

   "A short summary is that Cantor invented set theory, and then used it to study the construction of finite and infinite sets, and their relationships with numbers. One of the very surprising conclusions was that you can compare the size of infinite sets: two [infinite] sets have the same size if there’s a way to create a one-to-one mapping between their members. An infinite set A is larger than another infinite set B if every possible mapping from members of B to members of A will exclude at least one member of A. Using that idea, Cantor showed that if you try to create a mapping from the integers to the real numbers, for any possible mapping, you can generate a real number that isn’t included in that mapping – and therefore, the set of reals is larger than the set of integers, even though both are infinite."2

           
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