The slippery slope argument is a fallacy that a small step will or must lead to a certain chain of events. The hypothetical chain of events leads to a significant (usually negative) result. So unintended consequences follow the first step in the chain of events.
An example of this is the domino effect theory. During the Vietnam War, many people in the United States believed that if Vietnam were to unite and become communist, then the rest of Southeast Asia would eventually become communist too, unless the United States got involved in actively stopping communism.
Fallacies are statements that sound reasonable but are actually logically flawed or sometimes even dishonest. Whether or not a slippery slope argument is a fallacy depends on whether it becomes true necessarily or just in practice. In many cases it just acts as a warning, and readers have to use common sense as to its truth value. So, strictly speaking, these are fallacies only in the sense that they pretend certain consequences will follow, when in reality the consequences merely may follow.
A more specific example is the argument that:
- If I do not not pass the the exam, then I will not pass the class.
- If I do not pass the class, then I will not graduate college.
- If I do not graduate college, then I will not get a good job.
- If I do not get a good job, then I will live on the streets.
- If I live on the streets, then I will die young.
If any of the steps is unsound, then the whole argument is unsound. Step number 3 may or may not be true, but since the argument says step number 3 will happen, the whole argument is not sound.
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