"Proposition Infinity" was inspired by the political battle over California Proposition 8 in the United States and heavily satirizes the controversy over same-sex marriage.
The title is a reference to the aforementioned proposition, with the "8" sideways, thus becoming the infinity symbol (∞).
The camp where Bender is being "re-educated" parodies conversion therapy camps for homosexuals.
The episode also satirizes people against same-sex marriage, in particular the National Organization for Marriage (NOM); the episode depicts an anti-Proposition Infinity advertisement ("No on Infinity"), which is a direct parody of NOM's 2009 "Gathering Storm" campaign.
Many of the jokes in the episode were inspired by the actual vote regarding Proposition 8 and similar legislative debates over same-sex marriage throughout the United States, with several critics noting that the episode was favorable toward same-sex marriage.
Planet Tornadus is named after a Flying-type Pokémon of the same name introduced in Gen V.
Trivia[]
Bender's vandalism spree, where he lays tile mosaics of his face all over New New York, is a reference to the French street artist Invader, who pastes mosaics based on characters from the game Space Invaders on walls in cities all around the world. One of the mosiacs is later seen in the Season 7 episode "2-D Blacktop".
The name of the prison is Will Riker's Island, a nod to both the real-life New York prison and Commander William Riker from Star Trek: The Next Generation, played by Jonathan Frakes (who had a guest shot in "Where No Fan Has Gone Before").
When Amy, Leela, Fry and Bender are sitting in the club, Leela says "Here's to Amy. Single, lonely and fabulous!". This is a possible reference to Sex and the City.
A hot dog stand turns into a robot, and he calls himself a "pre-op Transformer". This is a parody of the Autobots/Decepticons from the Transformers franchise and a reference to transsexuals.
Leela contradicts herself in this episode by saying she believes there is nothing wrong with robosexuals, even though when Fry dated a robot, she said she thought it was wrong. However, she could have changed her opinion.
URL references Spock and Rapper LL Cool J's song "Momma Said Knock You Out" by saying "Momma Said Spock You Out!" as he Vulcan-neck-pinches a convict who has taken Amy hostage.
During the Pride Parade scene, the character of Gay Robot, created by comedian Nick Swardson, is seen dancing.
When Bender is naming the couples that were allowed to marry, he says at the end of the list "Even Ghost and Horse!", a possible reference to the Headless Horseman of Sleepy Hollow. Apparently, the fact that the last ghost died centuries ago according to Leela in "The Honking" wasn't enough to extinguish the species, because one of the married couples seen supporting robosexual marriage at the rally is a "ghost-and-horse" pairing. The robot Medium must not have been there or seen them, because she asserts in "Ghost in the Machines" that "...there's no such thing as ghosts, you donkey-monkey!". There, we learn of at least three varieties of ghost: robot ghosts, g-g-g-ghosts and "the regular kind", according to the Robot Devil.
The interracial couple shown during the parade is a reference to the Star Trek episode "Let That Be Your Last Battlefield", where two species harbor intense hatred of each other. One species has black on the left side of their faces and white on the right, and the other species has black on the right and white on the left.
Robosexuality must have been outlawed between "I Dated a Robot" and this episode, otherwise KidNappster (the internet site that allows one to download a celebrity onto a robot) would have been illegal. Plus, the Professor frowns on robosexuality in this episode, but is supportive (at first) of Fry using KidNappster.
The planet "Tornadus" shares its name with a legendary Pokémon from Pokémon: Black & White.
This is the first episode in which Zoidberg addresses Bender by his name instead of "robot" (or "robut").
The Professor was against robosexuality because when he was robosexual at one point in his life, it led to a serious heartbreak.
Amy's "hunk of the month" calendar has the same days as July 3010.
this is the first time Kif has appeared in a episode without Zapp.
Amy claims that Kif isn't like a space cucumber "where it counts". This seems to be a joke about penis size and implies they have sex, although it is unknown if the latter is possible when Kif's species does not reproduce in the same way as humans.