To cross each other or meet at a point, like two roads crossing; or to have something in common with another thing.
From Latin 'inter-' (between) and 'secare' (to cut). The word originally meant to cut between or divide by cutting, and evolved to mean any crossing point where two lines or paths meet.
In mathematics and logic, the 'intersection' of two sets is where they overlap—it's why we use the word 'intersectionality' in sociology to describe how different parts of your identity (race, gender, class) overlap and interact with each other.
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