The quality or state of having two values, meanings, or valences; something that can be understood in two different ways at the same time.
From Latin 'bi-' (two) + 'valentia' (strength/worth), derived from 'valere' (to be strong). The term entered English via chemistry but expanded into psychology and semiotics to describe dual meanings.
Ambiguous words like 'bank' (a financial institution or a river's edge) show bivalence—your brain actually processes both meanings simultaneously even if you only use one! This weird phenomenon helps explain why puns work and why we sometimes misunderstand each other.
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