Set Theory and Logic

1912 Submissions

[8] viXra:1912.0226 [pdf] replaced on 2019-12-12 17:25:18

Refutation of Triangular Bases of Fuzzy Sets in Łukasiewicz Infinite-Valued Logic

Authors: Colin James III
Comments: 1 Page. © 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 ersatz-systems.com.

We evaluate the first lemma of properties of fuzzy sets for strictly min-convex as not tautologous. This refutes subsequent conjectures for the logical content of triangular bases of fuzzy sets in Łukasiewicz infinite-valued. These results form a non tautologous fragment of the universal logic VŁ4.
Category: Set Theory and Logic

[7] viXra:1912.0172 [pdf] submitted on 2019-12-08 23:40:44

Refutation of Diversity, Dependence. and Independence

Authors: Colin James III
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 ersatz-systems.com.

We evaluate the seminal first definition as not tautologous which thereby denies the axioms for diversity, dependence, and independence. These results form a non tautologous fragment of the universal logic VŁ4.
Category: Set Theory and Logic

[6] viXra:1912.0125 [pdf] submitted on 2019-12-06 13:56:15

Refutation of Perfectly Parallel Fairness Certification of Neural Networks

Authors: Colin James III
Comments: 1 Page. © 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 ersatz-systems.com.

e evaluate the seminal definition of causal fairness which is not tautologous. This refutes the conjecture of perfectly parallel fairness certification of neural networks. These results form a non tautologous fragment of the universal logic VŁ4.
Category: Set Theory and Logic

[5] viXra:1912.0111 [pdf] submitted on 2019-12-06 06:03:47

Refutation of Duty to Warn in Strategic Games

Authors: Colin James III
Comments: 1 Page. © 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 ersatz-systems.com.

We evaluate two axioms for duty to warn modalities: negative introspection from epistemic logic S5 and the conjecture introspection of blameworthiness. Both are not tautologous and refutations. This forms a non tautologous fragment of the universal logic VŁ4.
Category: Set Theory and Logic

[4] viXra:1912.0091 [pdf] submitted on 2019-12-04 21:38:28

Refutation of Disjunction as Defined in Alternative Herbrand Functional Interpretation

Authors: Colin James III
Comments: 1 Page.

For alternative formulation of the Herbrand functional interpretation, we evaluate disjunction as defined from the other connectives and quantifiers which is not tautologous. This refutes the conjecture to simplify types of witnesses in the Herbrand functional interpretation, avoiding the use of “sets of functionals”. These results form a non tautologous fragment of the universal logic VŁ4.
Category: Set Theory and Logic

[3] viXra:1912.0075 [pdf] submitted on 2019-12-04 04:59:47

Refutation of Flow Theory

Authors: Colin James III
Comments: 3 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 ersatz-systems.com.

We evaluate two theorems, one postulate, and nine examples of ZFC axioms as not tautologous. This refutes flow theory. These results form a non tautologous fragment of the universal logic VŁ4.
Category: Set Theory and Logic

[2] viXra:1912.0026 [pdf] submitted on 2019-12-02 14:28:34

Refutation of Abstract Argumentation and the Rational Man

Authors: Colin James III
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 ersatz-systems.com.

We evaluate the rational man in abstract argumentation. It is not tautologous, hence refuting its bounded rationality in choice. This forms a non tautologous fragment of the universal logic VŁ4.
Category: Set Theory and Logic

[1] viXra:1912.0022 [pdf] submitted on 2019-12-01 21:06:56

Refutation of Axiomatisability of the Class of Monolithic Groups in Nilpotent Groups

Authors: Colin James III
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 ersatz-systems.com.

We evaluate main theorem of the paper which is not tautologous, refuting the conjecture of axiomatisability of the class of monolithic groups in a variety of nilpotent groups. This forms a non tautologous fragment of the universal logic VŁ4.
Category: Set Theory and Logic