Implication and inference are two related words which are opposites.
To imply is to suggest something is true without actually saying it. Examples:
- Your former spouse: suggests you did have a spouse to whom you are no longer married.
- Have you finalized the divorce proceedings? suggests not only that you are married, but that you have been in the process of divorce.
To infer is to see the implication in the sentence. When you realize the meaning of the second sentence, and protest "I have never beaten her", you have made an inference.
Here are the rules:
- The person who makes the suggestion implies it.
- The person who recognises the suggestion infers it (or draws an inference).
- Inference always comes after an implication: I imply, then you infer.