Set Theory and Logic


Refutation of Lifting Countable to Uncountable Arithmetic

Authors: Colin James III

In reverse mathematics (RM) we evaluate an axiom which is not tautologous. Because RM derives theorems from axioms, if an axiom is refuted, then its derived theorem is also refuted, hence refuting RM itself and derived conjectures such as “uplifting” countable mathematics to uncountable mathematics. These results form a non tautologous fragment of the universal logic VŁ4.

Comments: 2 Pages. © Copyright 2019 by Colin James III All rights reserved. Note that Disqus comments here are not read by the author; reply by email only to: info@cec-services dot com. Include a list publications for veracity. Updated abstract at

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[v1] 2019-10-29 14:23:22

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