A disjunction is a broken connection. If you expect to be a doctor but you haven't taken any science courses since high school biology, you would have a disjunction between your expectations and your training.

The -junct- in disjunction is the same Latin root that gives us yoke, the harness that joins two oxen together. So if you have a disjunction, things are not joined together — there's a disconnect. If you order a pizza and the waiter brings you caviar, that's a disjunction. In logic, a disjunction is made by joining two sentences with "or" — "I'm tired, or I'm hungry" — while a conjunction joins two sentences with "and" — "I'm tired, and I'm hungry."

Definitions of disjunction
  1. noun
    state of being disconnected
    synonyms: disconnectedness, disconnection, disjuncture
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    connectedness, connection, link
    the state of being connected
    the capability of being separated
    incoherence, incoherency
    lack of cohesion or clarity or organization
    lacking order or coherence
    type of:
    the state of lacking unity
  2. noun
    the act of breaking a connection
    synonyms: disconnection
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    type of:
    the act of dividing or disconnecting
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