Study on the Proof of the Existence of Transfinite Cardinals Strictly Smaller than ℵ_0 with an Ensuing Solution to the Twin Prime Conjecture | Chapter 10 | Current Topics on Mathematics and Computer Science Vol. 7

 The existence of a transfinite cardinal strictly smaller than, the cardinality of the Naturals, is proved in this work utilising the Power Set relation. Taking these arguments to their logical conclusion, it may also be demonstrated that even smaller transfinite cardinals exist. Furthermore, the author conjectures that some outstanding unsolved issues in number theory can be brought to heel utilising these newly discovered and novel concepts as a lemma. A demonstration of the twin prime conjecture is given in particular.

Author (S) Details

Karan Doshi
Chemical Engineering, Texas Tech University, USA and Chemical Engineering, University of Mumbai, India.

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