Dividing by zero-And other mathematical fallacies

Abstract

In this paper I shall discuss a fallacy involving dividing by zero. And then I shall more briefly discuss fallacies involving misdrawn diagrams, and a fallacy involving mathematical induction. I discuss these particular fallacies because each of them seems at first-and seemed to me myself at one time-to be a counterexample to a theory of mine. The One Fallacy Theory says that every real fallacy is a fallacy of equivocation, of playing on some sort of ambiguity. But these particular fallacies do not seem to involve ambiguity, and yet do seem to be real fallacies.