Review the slippery slope fallacy at https://www.logicallyfallacious.com/tools/lp/Bo/LogicalFallacies/162/Slippery-Slope
. I would say that your example does not qualify for a fallacious slippery slope. If it is a slippery slope (there is just one "level" to the slope so not much of a slope).
These are not clear arguments either. Fallacies are generally applied to arguments, and arguments use reasons to support a conclusion. However, many claims are implied arguments, but the key point is to see if one committing an error in reasoning, even if not technically a named fallacy.
There are actually two "questions" here:
if we allow it in our entertainment, why not in the media or in other places?
At this point, I would want to know if the person is asking why shouldn't it be allowed in other places, or claiming that it is likely to show up in other places. If the former, it is a reasonable question that would make for a good discussion. If the latter, the person is saying:If we allow hate speech in our entertainment, then it is likely to show up in the media and other places.
My question would then be, what evidence does the person have to support this claim? They could be Jumping To Conclusions
here (see https://www.logicallyfallacious.com/tools/lp/Bo/LogicalFallacies/114/Jumping-to-Conclusions
), but we don't know because no reasons were given.
If you allow hate speech to be directed at Christians, why not allow it on Muslims?
Unless I missed part of your argument, I see this as Begging the Question
or a possible Strawman. Who said anything about hate speech directed at Christians? Your initial comment was simply "if you don't like it, don't watch it." But let's assume that you are okay with the term "hate speech" (i.e., you agree that you are both talking about the same thing labeled "hate speech") and let's assume that this hate speech is directed towards Christians. Then I think this question is legitimate and worthy of discussion.
Again, no clear arguments are being made and not enough information is given to even infer a clear argument, so I would just take these as questions for discussion (good questions, in my opinion).
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