Infer means deduce, conclude. is to reach a final conclusion, about some fact that occurred, through deductions.
Infer is a transitive verb that is conjugated in the same way as the verb to adhere. from latin infers, which means to deduct.
Inferring is to form a final idea, from some information, through reasoning, by examining the facts. E.g.: I lack elements for infer your honesty.
When we reach a conclusion of some fact based on assumptions, just by assuming something, we are making a conjecture.
Information can be passed and contain ideas that are implied and to understand them we have to seek the reasoning to try to infer
The word infer is often used in juridical area. E.g.: "It cannot be inferred from the documentation gathered in the records". (draw conclusion); "Consensual divorce allows us to infer the occurrence of final and unappealable foreign judgment". (conclude); "Looking in the records for the reasons that lead to inferring the benefit of the defendant". (bring the conclusion)