(In another chapter it will be proven by the use of logic that matter and space are infinite in Tspace. Therefore, there are an infinite number of real things, such as rocks.)

Solving Cantor's Paradox in Ispace

   Immediately, it can be seen that there is a disparity in the paradox, because of the concepts of 'infinite' and 'finite.' This paradox is easy to solve. It only has to be understood that there can be no comparison nor contrast between the infinite and the finite. Only finite sets can be compared or contrasted with each other. The purpose of sets is to compare or contrast objects in Tspace, or ideas or concepts in Ispace, but an infinite set with an infinite number of elements is too vast, and this concludes that a comparison or contrast of the finite cannot be made with something that continues to exist forever. The paradox proves that the difference between the infinite and the finite is too great. The only relationship between the two is that the infinite contains all things finite. And, it's a fact, that anything finite cannot become infinite, and this includes the abstract concept of potential infinity. Therefore, the infinite power set cannot produce a paradox with the finite power set, because there is no relationship between the two.

A Prelude to Russell's Paradox

   Paradoxes are created in Ispace. They cannot and do not exist in three dimensional reality where all things real exist. Material objects and real life situations cannot be a paradox. In Ispace, paradoxes can be solved and oftentimes they can become part of the real world. But if they cannot be transposed to Tspace, then most of the time they are not useful in the real world. Whenever a paradox arises in any discipline in Ispace, it is usually because of illogical manipulation of ideas or words, illogical semantics, illogical concepts, or a contradiction in terms—but possibly other paradox forming constructs could also be a factor.
   Once it has been determined how a paradox can be solved, then the part of the paradox causing the paradox can be restructured either semantically, logically, or both, or its properties can be changed, and the resultant can often times be translated to Tspace, but the translation will no longer be the original paradox. On the other hand, if the original paradox is left untouched, then it will be forever in the confines of Ispace.

           
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