The Aristotelian Habit of Either–Or

Classical Aristotelian logic rests on several fundamental principles. One of these is the law of the excluded middle, articulated by Aristotle.

The rule states that every proposition must be either true or false. No middle position exists. Something is, or it is not.

This principle works well in mathematics.

For example:

1 + 1 = 2

In arithmetic there is no ambiguity. The statement is either correct or incorrect. Within a formal mathematical system this binary logic functions perfectly.

However, the problem arises when this rigid structure is applied to the messy complexity of the real world.

Reality rarely behaves in such clean categories.

The world presents us not with sharp boundaries, but with gradients, transitions, and degrees.