A binary connective whose truth conditions are taken to mirror the central aspects of the natural language use of the word ‘and’. For example, in many semantic presentations of a conjunction , a condition like the following is included:
While rare, there are some non-classical connectives sometimes construed as conjunction for which the above does not exhaust their truth conditions. For example, the binary connective of fusion—often encountered in relevant logics—has an interpretation as an intensional type of conjunction, in which is read as ‘ and are mutually compatible’ or ‘ and are compossible’.