Set Theory and Logic

    

The Continuum Hypotheses

Authors: Daniel Cordero Grau

In this paper I prove the continuum hypothesis by categorical logic, proving that the theory of initial ordinals and the theory of cardinals are isomorphic. To prove that since isomorphic structures are isomorphic theories by the fundamental theorem of mathematical logic, we use the definition of a theory, the definition of an isomorphism of structures in its equivalent categorical form, the definition of an isomorphism of categories, the definition of a structure, the definition of a formal language, the definition of a functor, the definition of a category, the axioms of mathematical logic and the axioms of the theory of categories

Comments: 2 Pages.

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Submission history

[v1] 2013-10-11 20:55:54 (removed)
[v2] 2013-10-12 12:56:04 (removed)
[v3] 2013-10-12 18:28:57 (removed)
[v4] 2013-10-13 19:47:24 (removed)
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[vT] 2013-12-27 16:55:44 (removed)
[vU] 2014-01-01 19:40:12 (removed)
[vV] 2014-03-18 13:30:15 (removed)
[vW] 2014-03-18 20:34:36 (removed)
[vX] 2014-04-18 11:11:16
[vY] 2019-10-25 17:00:34

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