Literally, a bringing in; introduction; entrance. Hence,

In logic and rhetoric, the act of drawing a consequence from two or more propositions, which are called premises.

The method of reasoning from particulars to generals, or the inferring of one general proposition from several particular ones.

The conclusion or inference drawn from premises or from propositions which are admitted to be true, either in fact, or for the sake of argument.

The introduction of a clergyman into a benefice, or giving possession of an ecclesiastical living; or the introduction of a person into an office by the usual forms and ceremonies. Induction is applied to the introduction of officers, only when certain oaths are to be administered or other formalities are to be observed, which are intended to confer authority or give dignity to the transaction. In Great Britain, induction is used for giving possession of ecclesiastical offices. In the United States, it is applied to the formal introduction of civil officers, and the higher officers of colleges.