Plot summary
Reese and Fusco race to find the next number, Carl Elias. They reach his hideout in a bank in Manhattan, but The Brotherhood arrive and capture them all. It turns out that Harper now works for Dominic. The Brotherhood tortures Elias for his intel, and Reese and Fusco for information on Harold. Elias tricks Dominic to kill his right-hand man, Link, to avenge the death of Anthony. In Washington, D.C., Control is interrogating a female Samaritan handler posing as a teacher, for a Samaritan's strategy called "The correction". Root receives a call from Shaw for help.
Surprised, she and Finch follow The Machine's instructions to try to find Shaw, driving to a mental hospital, which is also Samaritan's base. Samaritan's operatives capture Finch and Root and give a choice to The Machine: to reveal its location, or both Root and Finch dies. Root kills Martine by breaking her neck. The Machine exchanges its location for Finch and Root's life. Greer takes a group to go in search for The Machine's location. Root tells Finch to reach that location before Samaritan in order to save The Machine. Shaw is last seen being driven away in a van.
Credits
Adapted from Wikipedia contributors, Person of Interest season 4. HTML formatting and reference markers removed.