Unlike many of Poe’s other writings, “The Murders in the Rue Morgue” is a tale reliant on realism rather than supernatural as a means to confront the unknown. Please discuss the different approaches used in “The Murders in the Rue Morgue” and "The Fall of the House of Usher" by Edgar Allan Poe.

"The Fall of the House of Usher" is an 1839 short fictional story written by famed American writer, poet, and literary critic Edgar Allan Poe. It tells the story of an unnamed man who goes to visit his friend Roderick Usher, who is unwell. Eventually, Roderick's sister, Madeline, is buried alive in the family vault; soon, the narrator must try and escape the house as it self-destructs. Thus, the story is often considered an example of gothic fiction and even supernatural horror. Two years later, in 1941, Poe published another short story, titled "The Murders in the Rue Morgue," about a detective who solves the murder of two women. This is considered to be one of his most influential short stories and is commonly regarded as one of the first detective stories ever written.
In "The Murders in the Rue Morgue," Poe uses a theoretical approach. For instance, he incorporates his concept of ratiocination to explain his main protagonist's (Detective Dupin's) inductive reasoning. Thus, Poe popularized the genre "tales of ratiocination." One way to explain this theoretical and analytical approach is to understand that the author's intention is to present a well-constructed and carefully planned story. Essentially, by using this approach, Poe managed to excite but at also "control" the audience and their reactions.
In "The Fall of the House of Usher," Poe uses a similar analytical approach, but this time he focuses more on the characters than the plot, which means that he uses a psychoanalytical approach. The purpose of the psychoanalytical approach is to gradually (and often in great detail) uncover more of the story and the characters' mental states so that the reader can better understand them.
In both stories, Poe abandons the classical method of literary transcendence, and works his way "down" (into the disordered human psyche) instead of "up" (toward divinity and universality). Thus, we have two stories that are based on the concept of death and destruction, which are then analyzed until the readers understand why they are structured in such a way.