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).