noun A possible, or indirect, effect or result of a decision or action.
Dumping waste in the river will have serious implications for the environment.
noun An implying, or that which is implied, but not expressed; an inference, or something which may fairly be understood, though not expressed in words.
noun The connective in propositional calculus that, when joining two predicates A and B in that order, has the meaning "if A is true, then B is true".
noun Logical consequence. (Can we add an example for this sense?)