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As an argument, it takes the form
Argument
The argument is that by making a move in a particular direction, we are starting down a "slippery slope" in which it is likely that we will continue in the same direction (usually deemed by the arguer to be a negative one; hence the "sliding downwards" metaphor). One example is the argument by many civil libertarians that even minor increases in government authority make future increases more likely, by making them seem less noteworthy: what would once have been considered a huge power grab, the argument goes, is now seen as just another incremental increase, and thus is more palatable (see, e.g. [1]).
Eugene Volokh's Mechanisms of the Slippery Slope (PDF) analyzes various types of such slippage. Volokh uses the example "gun registration may lead to gun confiscation" to describe five types of slippage:
As a logical fallacy the argument takes the form
The fallacy is that such a claim requires an argument connecting the inevitability of B to A.
The slippery slope fallacy is often connected to the straw man fallacy to attack the initial position:
Contemporary examples of the slippery slope fallacy in use: