In the past, the CH (continuum hypothesis) has been unsolvable, but
this paper shows a new method, using Ispace and Tspace, for tackling the
unsolvable problems. There is a process for dealing with these types of
problems, even if they cannot be solved.
If those of the Big 3 are not concerned with relating to the real world,
such as those who are involved in highly advanced theoretical
mathematics, then it's not necessary for them to differentiate between
Ispace and Tspace; however, if the philosophers, scientists, and
mathematicians are concerned with discoveries that will lead to new
inventions, for example, an antigravity motor, then during, or even
before the research has started, those of the Big 3 should determine
whether the research is taking place in Ispace or Tspace. And the goal
should eventually be to move the research or the solutions into Tspace.
Sometimes it might be best to start in Tspace by studying all the
inventions made that relate to the new project, and then move into the
theoretical research in Ispace.
Along this line of thinking, what are some of the more important
questions in the realm of mathematics? What are some of the more
important questions in mathematical research, or the ideas gained from
the research, or from particular concepts? It's whether or not
mathematical ideas can be brought from Ispace through mathematical
modeling and become useful in the real world. If the idea(s) are forever
false, should the mathematician continue to research the idea(s)?
The reason this is brought up is because ideas in math can only be of
use for the general population of humankind if they can translate to
Tspace, and more specifically to technology. And it is with this as a
guide that this essay will tackle Cantor's Continuum Hypothesis (CH),
Cantor's theorem, Cantor's paradox, and Russell's paradox.
Numbers, Including Infinity
In Nature, numbers do not exist. Nature continues to perform its functions on
material objects in Tspace as Earth moves in a continuous motion through space;
and numbers are not a part of it. However, numbers do become a part of reality
when they are associated with material objects.
