Induction is inferencing as science carries it out: from the specific to the general.
Induction is distinguished by its modus ponens rule: $p_{1} \Rightarrow q_{1}, p_{2} \Rightarrow q_{2}, \ldots, p_{n} \Rightarrow q_{n}; p \Rightarrow q$
This is not valid in logic, but happens all the time in science. With repeated observations of something (the premises) comes the eventual ability to (at least propose) a general rule (the conclusion).