Set Theory and Logic


Refutation of Higher-Order Logic as Bivalent © Copyright 2018 by Colin James III All Rights Reserved.

Authors: Colin James III

We evaluate higher-order logic based on the principle of mathematical induction. Meth8/VŁ4 treats sets and variables as variables. The quantification over quantification is not bivalent. We alleviate this constraining condition by distributing the quantified expression over nested expressions. At each nested level, the quantification is explicitly distributed for clarity. We conclude that higher-order logic is not bivalent and that nested quantification is better expressed as explicitly distributed.

Comments: 1 Page. © Copyright 2018 by Colin James III All rights reserved.

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[v1] 2018-02-21 22:19:21

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