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# Mathematical Foundations

## Cantor’s Fallacy: Proof that All Sets are Countable in a True Infinitism Foundation for Mathematics

Cantor’s Fallacy – Proof that All Sets are Countable in a True Infinitism Foundation for Mathematics Definitions Let a “class” be anything with parts. Let an “atom” be anything that is not a class. Let a thing x be “distinguishable from” a thing y if and only if x is part of a class y …

## P v NP Resolved In a DeCantorized Foundation for Mathematics

Abstract P v NP is resolved by refuting Cantor’s Uncountability Theorems, but allowing them to live on in a finite model of ZFC which interprets the least infinite cardinal as the greatest finite number ever referred to, and which turns out to make ZFC consistent and complete under that finite interpretation. This result relies on …

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