Semantic Intertwine: The anathema of Mathematics

The recent scientific observation that human information processing involves four independent data types, has pinpointed a source of fallacious arguments within many domains of human thought. Our species-unique ability to assign observable characteristics to purely conceptual entities has created beautiful poetry and literature. However, this ability to generate ‘Semantic Intertwine’ has also created our most incomprehensible paradoxes and conundrums. Semantic Intertwine can be created between, or within, Semantic Categories; and in either case it then lies at the heart of fallacious, yet often very persuasive, reasoning. This paper describes how to detect mathematically-related Semantic Intertwine in erroneous arguments involving: operands (VIII), mathematical induction (VIIA), orthogonal axiom sets (VIIB), continuous functions (VIIA), exclusive disjunction (VIIA), propositional calculus (VI) and the hitherto thorny problems arising from ambiguous intra-category use of ‘infinity’ (VIIB).