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2 + Torture = 5

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TwoPlusTortureMakesFive
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Advertisement:propertag.cmd.push(function() { proper_display('tvtropes_mobile_ad_1'); })A Mind Rape technique popularised by Nineteen Eighty Four: The villain has the hero in his clutches, but the hero simply... won't... crack. Sometimes the villain has to do more, i.e., to make the hero's mind break. This means using Cold-Blooded Torture (both physical and psychological) to make the hero see things that aren't there or being forced to acknowledge things that are patently untrue, self-contradictory, and/or irrational.
The villain needs to make the hero believe that 2 + 2 = 5. It is said that the Truth will set you Free, and when truth loses all meaning, it becomes just another method of Orwellian Mind Control.
Perception is Truth. Black is White. Wrong is Right. Right is Left. Up is Down. Everything you know is wrong.
Often occurs in a society where Big Brother Is Watching. A good way of procuring a Manchurian Agent or otherwise Brainwashed drone; if you can break someone down so much that they end up believing this, then you can put them back together however you want.
Advertisement:propertag.cmd.push(function() { proper_display('tvtropes_mobile_ad_2'); })Fortunately, This is a case of Artistic License – Medicine and it's use in 1984 itself is a case of Science Marches On, as it turns out that you quite simply cannot torture someone into believing something, and if anything they're going wind up ''far less' receptive to whatever beliefs you were trying to instill on them, since they'll associate it with torturers.
See also Appeal to Force. Can also be accomplished with Gaslighting or The Ludovico Technique.
Note: This trope has nothing to do with actual math or equations.
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DBTropes
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In the first episode of The Thick of It, Malcolm tries to "persuade" journalists that minister Hugh Abbott did make an important announcement at an earlier press conference (though he did no such thing) - it's just that journalists missed it.
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 The Thick of It
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In Night Watch Discworld, the utterly mad Captain Findthee Swing uses craniometrics to determine whether someone was a criminal or not. And funnily enough, "after a short stay in the care of his much more direct underlings, he would inevitably be proven right".
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 Night Watch (Discworld)
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Land of the Blind: The new regime apparently mandates vegetarianism, and forces dissidents in the re-education camps to recite: "A dry crust of bread is better than nothing, but nothing is better than a big juicy steak. Therefore, dry crust of bread is better than a big juicy steak." Plus of course "The nail that sticks up gets hammered down."
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 Land of the Blind
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Alias: Some of the bad guys attempt this with Sydney but as she can't be brainwashed she merely pretends to be broken.
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Metal Gear Solid V: The Phantom Pain: Interestingly, if you shoot Ocelot with a tranquilizer round, he claims he has drug resssistannce trrraiiinnninnng. Repeated shots eventually make him insist "Two plus two equals five. TWO plus two equals FIVE..." without any outside assistance. As it turns out, he's intentionally torturing himself with reinforced contradictory beliefs because Venom Snake is on the verge of accidentally breaking his hypnosis, and like in Metal Gear Solid 4, he kind of needs to semi-forget that Venom Snake isn't Big Boss to pull this insurrection off.
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 Metal Gear Solid V: The Phantom Pain (Video Game)
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The Outpost: After Garret is nearly killed by Dred, he's taken to the Prime Order capital, where the healer Sana nurses him back to health and strikes up a romance with him. Then the Tormentor comes and takes him to the dungeons to be beaten until he renounces Gwyn/Rosmund as a false queen, before Sana stops him and heals him back to health again. Turns out this is a ploy by both Sana and The Tormentor, who are husband and wife, and are using a combination of brutal torture, gentle healing, and carefully crafted lies to break Garret's spirit to get him to serve the Prime Order.
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 The Outpost
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In the children's book Jim Button and Luke the Engine Driver (Jim Knopf und Lukas der Lokomotivführer) by Michael Ende, the dragon Mrs. Grindtooth (Frau Mahlzahn) tries to use this technique on her pupil/slave Li Si. Li Si, being both very intelligent and very brave, refuses to fold.
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 Jim Button
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George Orwell used this for Nineteen Eighty Four. Winston Smith writes that freedom is the ability to say "two plus two is four," then later tries to make himself believe in Doublethink by changing it to five. During his torture, the torturer forces him to see five fingers when there are only four. After Winston is released, he at one point subconsciously writes "2 + 2 = 5" on a coffee table's dust layer. Interestingly, several editions of the book list "2 + 2 = " instead. Alas, it's actually a typo: Winston really did write "2 + 2 = 5".
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 Nineteen Eighty Four
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Though it involves no torture, in the Red Dwarf episode "Camille", Lister tries to break Kryten's Cannot Tell a Lie programming by showing him an apple and getting him to say it's an orange. He doesn't want to make him believe it — just to get him to say something he knows to be untrue.
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 Red Dwarf
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Inverted in the American Dad! episode where Deputy Director Bullock is sleeping with Hayley and Stan tries to make her ex-boyfriend Jeff more assertive. Stan states a blatant falsehood (that the orange he's holding is a banana), which Jeff agrees to because he's that much of a wimp. Stan then electrifies Jeff until he stops agreeing with Stan and sticks up for himself (and once more time by accident).
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 American Dad!
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On The X-Files, this is pretty much the objective of the military guards torturing Mulder in "The Truth." After breaking into a government facility and finding "the truth", as well as several other things the government was hiding, Mulder is captured and denied food, water, clothes, and sleep. Whenever the guards come in, they ask him what he's thinking, and beat him for answering truthfully. What is the correct answer? They want Mulder to admit that he illegally entered the facility to obtain non-existent information and killed a man, even though none of those things are true. Why? They're holding a Kangaroo Court and are hoping to get rid of him once and for all. It appears to work, as Mulder repeats the words back. Turns out he's just saying it to get them to leave him alone.
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 The X-Files
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Part of what happened to Tycho Celchu at the beginning/in the backstory of the X-Wing Series. He was bent pretty terribly by Isard but didn't actually break. When she overlaid Rebel and Imperial insignia and tried to transfer his loyalty to one over to the other, the contradiction sent him into a catatonic state. She later tried it on Corran Horn with even less success.
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Lampshaded/spoofed in The Invisibles when Sir Miles is using the drug Key 17 to mess with King Mob's mind. He causes King Mob to see, among other things, five fingers where there are four. The illustration is subtly creepy. At the end, when King Mob escapes, he returns the favor: "How many fingers am I holding up, Sir Miles? Just two."
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 The Invisibles (Comic Book)
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Lampshaded by Nice Guy Eddie, in Reservoir Dogs:
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 Reservoir Dogs
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In an episode of ChalkZone a horrible counselor sets out to make sure that Rudy understands what is "real" and what isn't. She straps him to a chair that shows him two pictures (generally a photo and a cartoon image) and asks him which is better. Every time he gets it wrong, it honks loudly at him. Later in the episode, we see him feebly trying to answer and getting honk after honk after honk until he says "whatever you say", which is the answer she was looking for. She even uses the word "ungood" instead of "bad," straight of 1984's Newspeak dictionary.
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A Song of Ice and Fire: In the fifth book, Ramsay Bolton tortures Theon Greyjoy and conditions him to accept a completely different identity.
Also pops up in the backstory novel Fire & Blood. The conspiracy against King Aegon III (and more specifically, against his Lyseni in-laws who have gained massive influence in the court) sets up his regent Lord Thaddeus Rowan as a scapegoat, torturing him to the point where he'll give a seemingly honest confession to being accused of trying to assassinate the king on behalf of the aforementioned in-laws. This ends up backfiring on the conspirators, as Aegon's brother Viserys quickly realizes that Rowan will just as earnestly confess to anything, from contradictory accusations about aspects of the conspiracy all the way up to being responsible for the Doom of Valyria. This exposes the false nature of his "confession" and brings down the conspiracy.
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 A Song of Ice and Fire
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In One Piece, Kaido uses torture to break down people he sees as potential and makes them join his crew.
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 One Piece (Manga)
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Also pops up in the backstory novel Fire & Blood. The conspiracy against King Aegon III (and more specifically, against his Lyseni in-laws who have gained massive influence in the court) sets up his regent Lord Thaddeus Rowan as a scapegoat, torturing him to the point where he'll give a seemingly honest confession to being accused of trying to assassinate the king on behalf of the aforementioned in-laws. This ends up backfiring on the conspirators, as Aegon's brother Viserys quickly realizes that Rowan will just as earnestly confess to anything, from contradictory accusations about aspects of the conspiracy all the way up to being responsible for the Doom of Valyria. This exposes the false nature of his "confession" and brings down the conspiracy.
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 Fire & Blood
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During the Salem witch trials, as dramatised in The Crucible, Giles Corey was one of the few who withstood the torture till the end. If he had confessed, he would've been excommunicated from the church and his property would've been lost; if he'd denied the accusation, he'd have been persecuted anyway and his property would've still been lost. To ensure that his family would inherit his property, he remained Defiant to the End as his interrogators slowly crushed his body under heavyweights. His Famous Last Words when asked if he'd confess? "More weight." Clearly, this man had stones.
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 The Crucible (Theatre)
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This is part of the treatment Petruchio gives Katharine in order to "tame" her in The Taming of the Shrew, when he insists that the food is bad and the clothes are ugly and refuse to allow her to eat or keep them. He also obstinately claims that it is 7 o'clock, when it is only 2. "...it shall be what o'clock I say it is." She later gives in to his game, agreeing with Petruchio that, in spite of it being broad daylight, that the moon is shining, and shortly after agrees with him that it is not the moon after all, but in fact the sun. This is potentially Shakespeare's ode to Gaslighting.
According to some interpretations, though, this is a subversion; Katharine takes Petruchio's lies and stretches them even further, coming up with speeches so patently ridiculous it's hard to think she's not making fun of him. And this may be where they reach an understanding with each other - from this point forward, they start teaming up to terrorize other people instead of each other.
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 The Taming of the Shrew (Theatre)
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In Game of Thrones, after Ramsay Bolton hears Theon Greyjoy begging him to kill him after being tortured for a long time, Ramsay comes up with the idea that Theon is not Theon anymore, but "Reek." Ramsay slaps him until he admits his name is now "Reek."
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 Game of Thrones
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The Green Goblin attempted this in an issue of Spider-Man. Having captured Spidey and held him hostage for several days, to the point where he was dying of thirst, Goblin presented two glasses of water. One was underneath a beam of light while the other was kept in shadow. Every time Spidey reached for the lit-up glass, he was electrocuted, but was told the glass in the darkness would be perfectly safe. In other words, Gobby was trying to goad him into literally choosing the dark side.
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 Spider-Man (Comic Book)
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Robot Chicken does the Enhanced Interrogation Techniques version with the nerd, who's being questioned as to the location of Mordor. He finally tells them what they want him to say.note  "Pakistan."
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 Robot Chicken
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Private Plato in Beetle Bailey creates an instant demonstration by giving Lt. Sonny Fuzz a black piece of paper and expressing confusion over the alleged fact that the general said it was white.
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 Beetle Bailey (Comic Strip)
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In one of The Stainless Steel Rat books, "the grey men" mess with Jim's mind using hypnosis to make him think they've chopped off his hands and reattached them.
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 The Stainless Steel Rat
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They did this to Baltar in Battlestar Galactica (2003) to the point that his mind was so mixed up and he was talking so much gibberish that when he confessed to having done some terrible crimes, no one believed him.
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 Battlestar Galactica (2003)
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Michael Westen in Burn Notice invokes this trope to state why he never uses torture. To get reliable information, Michael and his friends tend to rely on straight-up disinformation, misinformation, deception and a repertoire of gambits.
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In the Babylon 5 episode "Intersections in Real Time", John Sheridan's torture and interrogation of is based around manipulating perspective and convincing Sheridan to accept the fact that the truth is fluid, and therefore he's a mutineer, a conspirator, a terrorist, and a victim of alien influence. They needs him to sincerely believe his confession in order to fool telepathic scans. However, he manages to rather effectively turn the logic around against his interrogator by saying that, essentially, just as their truth is valid to them, so is his to himself.
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 Babylon 5
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In the Star Trek: The Next Generation episode "The Chain of Command, Part II," Picard is captured during a black op and taken to Gul Madred, who thinks that Picard knows Federation defense plans. Madred tries to force Picard to tell him that there are five lights on the wall when there are really only four. Every time Picard insists that there are four, Madred zaps him with an Agony Beam. When Picard is finally released, due to a deal being struck between the Federation and the Cardassians, he defiantly proclaims "THERE! ARE! FOUR! LIGHTS!" to Madred as he is leaving, but it's not as triumphant as it seems — later, Picard admits to Troi that not only would he have readily said there were five lights just to make the pain stop if he hadn't been released at that exact moment, he was so much at his wits' end that he for a moment actually saw five lights.
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 Star Trek: The Next Generation
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The following is a list of statements referring to the current page from other pages.

 2 + Torture = 5
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Help! Help! This Index Is Being Repressed!
 2 + Torture = 5
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Logic Tropes
 Pages of Harmony / Fan Fic / int_dfdcd12d
type
2 + Torture = 5
 Persona 5 Rebellion (Fanfic) / int_dfdcd12d
type
2 + Torture = 5
 Blind Chance / int_dfdcd12d
type
2 + Torture = 5
 Memories of Murder / int_dfdcd12d
type
2 + Torture = 5
 Reservoir Dogs / int_dfdcd12d
type
2 + Torture = 5
 Bloodlines / int_dfdcd12d
type
2 + Torture = 5
 Fire & Blood / int_dfdcd12d
type
2 + Torture = 5
 Going Clear / int_dfdcd12d
type
2 + Torture = 5
 Jim Button / int_dfdcd12d
type
2 + Torture = 5
 Nineteen Eighty Four / int_dfdcd12d
type
2 + Torture = 5
 The Plague / int_dfdcd12d
type
2 + Torture = 5
 Red vs. Blue: The Project Freelancer Saga (Machinima) / int_dfdcd12d
type
2 + Torture = 5
 Mario4812LikedTropes3
seeAlso
2 + Torture = 5
 AJCO (Roleplay) / int_dfdcd12d
type
2 + Torture = 5
 Esquarium (Roleplay) / int_dfdcd12d
type
2 + Torture = 5
 Kitchen Nightmares / int_dfdcd12d
type
2 + Torture = 5
 Roots (1977) / int_dfdcd12d
type
2 + Torture = 5
 Roots (2016) / int_dfdcd12d
type
2 + Torture = 5
 Star Trek: The Next Generation / int_dfdcd12d
type
2 + Torture = 5
 The Outpost / int_dfdcd12d
type
2 + Torture = 5
 The Thick of It / int_dfdcd12d
type
2 + Torture = 5
 Ultra Fast Pony (Web Video) / int_dfdcd12d
type
2 + Torture = 5
 Legostar Galactica (Webcomic) / int_dfdcd12d
type
2 + Torture = 5