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What is a duality?

What is a duality? Here are some definitions.

Noun
  1. A classification into two subclasses or opposed parts.
  2. (projective geometry) The interchangeability of points and planes.
  3. (mathematics) The mathematical equivalence of two seemingly different theoretical descriptions of a physical system.
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Examples
Presumably it's meant to further illustrate the themes of duality and inner struggle, but the only effect is that of an irritating side-show.
The film is about a good guy going bad and depicts the essential duality of human nature that oscillates between good and evil.
But our poem's horizon expanded far beyond this confined duality to embrace the universal, the human, as well as the intimate and personal.
In recent years, both hip-hop and UK garage have developed a culture of duality.
It is a duality that only the most mushyheaded of his admirers can blissfully ignore.
Despite her good deeds, this wizened enchantress's sinister duality surfaces when she senses the threat of a changeling among the Quinn clan.

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