Authors: Daniel Cordero Grau
In this paper we prove the Generalized Continuum Hypothesis, which is, as Universal Algebra and Category Theory, a complete theory, proving that the infinite initial ordinals and the transfinite cardinals are isomorphic universal algebras. For isomorphic universal algebras are isomorphic categories, isomorphic categories are isomorphic theories, by the Fundamental Theorem of Categorical Logic, and so, isomorphic universal algebras are isomorphic theories.
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