A conveying system for intended use in sorting articles and related methods of conveying and sorting articles are disclosed. In one embodiment, the system comprises a first conveyor extending in a first direction and a second conveyor extending in a second direction, with the directions intersecting. A transfer conveyor, such as a transpositor conveyor, may be provided for transferring articles from one of the first conveyors to one of the second conveyors. The system may be used to sort articles delivered from one or more storage locations for distribution, or may instead be used to sort articles for delivery to one or more storage locations. Related aspects and methods are also described.