An Algorithmic Approach to Solve Continuum Hypothesis

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Carson Lam Kai Shun


The continuum hypothesis has been unsolved for hundreds of years. In other words, can I answer it completely? By refuting the culturally responsible continuum (Lam, 2014), one can link the problem to the mathematical continuum, and it is possible to disproof the continuum hypothesis (Lam, 2018). To go ahead a step, one may extend our mathematical system (by employing a more powerful set theory) and solve the continuum problem by three conditional cases. This event is similar to the status cases in the discriminant of solving a quadratic equation. Hence, my proposed algorithmic flowchart can best settle and depict the problem. From the above, one can further conclude that when people extend mathematics (like set theory — ZFC) into new systems (such as Force Axioms), experts can solve important mathematical problems (CH). Indeed, there are different types of such mathematical systems, similar to ancient mathematical notation. Hence, different cultures have different ways of representation, which is similar to a Chinese saying: “different villages have different laws.” However, the primary purpose of mathematical notation was initially to remember and communicate. This event indicates that the basic purpose of developing any new mathematical system is to help solve a natural phenomenon in our universe.

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