Question: Detective Eric Matthews, (originally scripted to be named Eric Mason) is a fictional character from the "Saw" franchise, he officially appears in which 2005 American horror film, a sequel to 2004's "Saw" and the second installment in the "Saw" franchise, directed and co-written by Darren Lynn Bousman and series creator Leigh Whannell?

Context paragraphs:
Eric Matthews (Saw): Detective Eric Matthews (originally scripted to be named Eric Mason) is a fictional character from the "Saw" franchise.  He first appeared in a fake documentary entitled, "Full Disclosure Report: Piecing Together Jigsaw", featured on the Uncut Edition of the original film.  He officially appears in "Saw II", "Saw III", and "Saw IV".  It was originally stated that Donnie Wahlberg (who portrayed Eric Matthews) would not be reprising his role in "Saw III" due to creative differences, but this turned out to be a hoax conceived by Lions Gate Entertainment to throw off fans of the series trying to dig up details on the film.

Saw IV: Saw IV is a 2007 American-Canadian horror film and the fourth installment in the "Saw" franchise.  It was directed by Darren Lynn Bousman and written by newcomers Marcus Dunstan, Patrick Melton, and Thomas Fenton.  It stars Tobin Bell, Scott Patterson, Costas Mandylor, Betsy Russell, and Lyriq Bent.

List of Saw characters: The "Saw" series of horror films features a large cast of characters created primarily by directors and screenwriters James Wan, Leigh Whannell, Darren Lynn Bousman, Patrick Melton, and Marcus Dunstan.  The series focuses on the character of John Kramer (Tobin Bell), the "Jigsaw Killer", who seeks out those he considers to be wasting their lives and subjects them to torturous and lethal traps, referred to as "tests" and "games", in an attempt to make them appreciate living.  The series comprises eight films: "Saw" (2004), "Saw II" (2005), "Saw III" (2006), "Saw IV" (2007), "Saw V" (2008), "Saw VI" (2009), "Saw 3D" (2010) and "Jigsaw" (2017).

Saw (2004 film): Saw is a 2004 American horror film directed by James Wan.  It is Wan's feature film directorial debut.  The screenplay, written by Leigh Whannell, is based on a story by Wan and Whannell.  The film stars Cary Elwes, Danny Glover, Monica Potter, Michael Emerson, Ken Leung, Tobin Bell and Leigh Whannell.  In the film, Elwes and Whannell portray two men who awake to find themselves chained in a large dilapidated bathroom, with one being ordered to kill the other or his family will die.  It is the first installment in the "Saw" franchise.

Saw II: Saw II is a 2005 American horror film, a sequel to 2004's "Saw" and the second installment in the "Saw" franchise, directed and co-written by Darren Lynn Bousman and series creator Leigh Whannell.  The film stars Donnie Wahlberg, Franky G, Glenn Plummer, Beverley Mitchell, Dina Meyer, Emmanuelle Vaugier, Erik Knudsen, Shawnee Smith, and Tobin Bell.

Alleluia! The Devil's Carnival: Alleluia!  The Devil's Carnival is an American musical horror film directed by Darren Lynn Bousman and written by Terrance Zdunich.  It is a sequel to Bousman's 2012 short film "The Devil's Carnival".  Unlike the previous film, "Alleluia" is a feature-length project.  Production started in August 2014.

Saw III: Saw III is a 2006 American horror film directed by Darren Lynn Bousman from a screenplay by Leigh Whannell and story by James Wan and Whannell.  It is the third installment in the "Saw" franchise and stars Tobin Bell, Shawnee Smith, Angus Macfadyen, Bahar Soomekh, and Dina Meyer.  "Saw III" marks the first appearances of Costas Mandylor and Betsy Russell, albeit minor roles; they would later become major characters in the series.

The Devil's Carnival: The Devil's Carnival is a 2012 musical horror film directed by Darren Lynn Bousman and starring Sean Patrick Flanery, Briana Evigan, Jessica Lowndes, Paul Sorvino, Emilie Autumn and Terrance Zdunich.  The film marks the second collaboration of Bousman and writer/actor Terrance Zdunich, their previous work being on the unrelated musical film "Repo!  The Genetic Opera".  The film also brings back several of the cast members of "Repo!" , such as Sorvino, Alexa Vega, Bill Moseley and Nivek Ogre.  "The Devil's Carnival" has Aesop's Fables at the core of its story, with the main characters each representing a fable.  Flanery's character John represents "Grief and His Due", Evigan's character Merrywood represents "The Dog and Its Reflection", and Lowndes' character Tamara represents "The Scorpion and the Frog".

Insidious: The Last Key: Insidious: The Last Key is an upcoming American supernatural horror film directed by Adam Robitel and written by Leigh Whannell.  It is the fourth installment in the "Insidious franchise", and the second chronologically following 2015's "".  The film stars Lin Shaye, Leigh Whannell, Angus Sampson, Spencer Locke, Kirk Acevedo and Bruce Davison.

Saw (franchise): Saw is an American horror franchise distributed by Lionsgate, produced by Twisted Pictures and created by James Wan and Leigh Whannell, that consists of eight feature films and additional media.  In 2003, Wan and Whannell made a short film to help pitch as a potential feature film.  This was successfully done in 2004 with the release of the first installment at the Sundance Film Festival.  It was released theatrically that October.  The sequels were directed by Darren Lynn Bousman, David Hackl, and Kevin Greutert, and were written by Wan, Whannell, Bousman, Patrick Melton, and Marcus Dunstan, and were released subsequently every October, on the Friday before Halloween, between 2004 and 2010.  Both of the creators remained with the franchise as executive producers.  On July 22, 2010, producer Mark Burg confirmed that the seventh film, "Saw 3D", is the final installment of the series.  Lionsgate reportedly expressed interest in continuing the franchise in 2012 with a reboot.  However, in November 2013, it was reported that they were in active development of a sequel.

Supporting paragraphs: Eric Matthews (Saw) Saw II
Answer: Saw II