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 I told a demoncrat their policy was a slippery slope, and she said that was the slippery slope fallacy. Basically, "Just because you say it's a slippery slope doesn't mean it is." 

It should instead be called the "nuh-uhh" fallacy, or the "let me slide down this slope, damnit" fallacy. This is what they're teaching kids in debate class now-days.  
 To be fair, it's bad form to name fallacies in arguments. Unless they're funny ones like argumentum ad Hitlerum.