Set Theory and Logic


Refutation of Induction by Numerical Identity of (-1≤C≤1) = (C≤1)

Authors: Colin James III

We evaluate the numerical identity of (-1≤C≤1) = (C≤1). It is confirmed by induction in 1MM iterations not to have a counter example. However, the numerical identity as a logical equation is not tautologous. When mapped as an implication (-1≤C≤1) → (C≤1), it is tautologous. This experiment speaks to the fact that induction when defined as an implication is not tautologous not deduction when defined as an implication is tautologous. These conjectures 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] 2019-10-01 18:48:11

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