Current Topics on Mathematics and Computer Science Vol. 7 | 2021
Study on the Proof of the Existence of Transfinite Cardinals Strictly Smaller than ℵ𝟎 with an Ensuing Solution to the Twin Prime Conjecture
Abstract
In this paper the author submits a proof using the Power Set relation for the existence of a transfinite cardinal strictly smaller than , the cardinality of the Naturals. Further, it can be established taking these arguments to their logical conclusion that even smaller transfinite cardinals exist. In addition, as a lemma using these new found and revolutionary concepts, the author conjectures that some outstanding unresolved problems in number theory can be brought to heel. Specifically, a proof of the twin prime conjecture is given.