Researching on the topic of Satire can be quite entertaining because satire can have a humorist approach to it as well. I found a book called, On the Discourse of Satire. Towards a Stylistic Model of Satirical Humour, and highlighted what intrigued me and had to do on the matter of Satire through humor. Which can be classified as horatian type satire.
In this chapter that I highlighted in the book called Linguistic Approaches to Humor it discusses how humor can be deliberate or accidental. It says there are four set scenarios that people can be categorized under...
"I. You mean to be funny and you are funny.
II. You mean to be funny but you are not funny.
III. You don't mean to be funny but you are funny.
IV. You don't mean to be funny and you are not funny." (Simpson 17)
I and III can be categorized under accidental humor and I, II, and IV can be categorized under deliberate humor. Another category as the book talked about what "the slip of the tongue" which is accidental humor or even a Freudian slip where one speaks the truth but doesn't realize it because it's their subconscious controlling the thought process during that time. Some writers have tried to make these scenarios for humor evident in writing through Satire because it sends out an ironic message that makes the reader think twice about what exactly they're reading which is pretty neat, if you ask me.
Simpson, Paul. On the Discourse of Satire. Towards a Stylistic Model of Satirical Humour. Philadelphia: John Benjamins Publishing Company, 2003.