Capable of being crossed by a bridge; able to be spanned or connected by a bridge; also used figuratively to mean able to be resolved or connected.
From 'bridge' with the suffix '-able' (meaning 'capable of being'). This productive suffix in English allows creation of adjectives from verbs, indicating possibility or capacity.
The word 'bridgeable' has interesting metaphorical power—when we call a gap 'bridgeable,' we're using the literal idea of a bridge to express hope that a division can be crossed, showing how concrete words about infrastructure become tools for discussing abstract social or political problems.
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