Editing 1033: Formal Logic

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| title    = Formal Logic
 
| title    = Formal Logic
 
| image    = formal_logic.png
 
| image    = formal_logic.png
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| imagesize =
 
| titletext = Note that this implies you should NOT honk solely because I stopped for a pedestrian and you're behind me.
 
| titletext = Note that this implies you should NOT honk solely because I stopped for a pedestrian and you're behind me.
 
}}
 
}}
  
 
==Explanation==
 
==Explanation==
This comic is a riff on bumper stickers that say "honk if you love ____". Here, the subject is {{w|Mathematical logic|formal logic}}, but the word "if" is replaced with a formal logic term "{{w|If and only if|iff}}," which means "if and only if".
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This comic is a riff on bumper stickers that say "honk if you love ____". Here, the subject is {{w|formal logic}}, but the word "if" is replaced with a formal logic term "{{w|iff}}," which means "if and only if".
  
The term "If and only if" sets two separate requirements, both of which must be met. In this case, you must love formal logic in order to be allowed to honk, and you must honk if you love formal logic. (Conversely, someone who does not love formal logic is prohibited from honking, and someone who loves formal logic cannot refuse to honk.) The title text further elaborates on this, saying in essence: "Don't honk at me just because you're impatient that I stopped for a pedestrian."
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"If and only if" connects two statements, saying that either both statements are true, or both are false. In this case, either someone likes formal logic and honks, or doesn't like formal logic and doesn't honk. The title text further elaborates on this, describing a practical situation (that is, stopping for pedestrians) and dissecting it with formal logic terms.
  
The joke is the contained self-reference: you have to love formal logic to take the sticker seriously and honk for exclusively that reason. The title text reveals the sticker is actually there to stop people from honking at him altogether, because Randall understandably hates it when he yields for pedestrians only to get honked at by some impatient driver behind him; the ONLY reason you're allowed to honk is to declare your love for formal logic. So by extension, if someone DOES honk while he is stopped for a pedestrian, he can simply enjoy the idea that the other driver loves formal logic rather than being impatient, transforming what might otherwise be an irritant into pleasure.
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The joke is the contained self-reference. You have to love formal logic to take the sticker serious and honk for exclusively that reason.
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But if you don’t love formal logic you would dislike the sticker at all and try to do something contradictory. And now the problem begins: If you don’t honk to contradict the sticker completely you automatically follow its instruction. So, there is nothing you can do except starting to love formal logic.
  
 
==Transcript==
 
==Transcript==
:[The rear end of a car (with an unreadable license plate), with a bumper sticker above the tailpipe to the right:]
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:[Vehicle with a bumper sticker:"Honk iff you love formal logic"]
:Honk iff you love  
 
:<big>formal logic</big>
 
 
 
==Trivia==
 
This comic used to be [https://web.archive.org/web/20211215032158/https://store.xkcd.com/products/formal-logic-bumper-sticker available as a sticker] in the xkcd store before it was [[Store|shut down]].
 
  
 
{{comic discussion}}
 
{{comic discussion}}
 
[[Category:Logic]]
 
[[Category:Math]]
 
[[Category:Comics with xkcd store products]]
 

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