Full Idea
'Implying' is different from 'inferring', because a person who infers draws the conclusion, but a person who implies leaves it to the audience to draw the conclusion.
Gist of Idea
A person who 'infers' draws the conclusion, but a person who 'implies' leaves it to the audience
Source
Thomas Mautner (Penguin Dictionary of Philosophy [1996], p.279)
Book Reference
Mautner,Thomas: 'Dictionary of Philosophy' [Penguin 1997], p.279
A Reaction
I had always taken it just that the speaker does the implying and the audience does the inferring. Of course a speaker may not know what he or she is implying, but an audience must be aware of what it is inferring.