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What is a logical fallacy?

What is a logical fallacy? Here are some definitions.

Noun
  1. A fallacy; a clearly defined error in reasoning used to support or refute an argument, excluding simple unintended mistakes.
  2. A formal fallacy.
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Examples
It turns out to be a technical term in the study of logic and describes a specific type of logical fallacy, a form of circular reasoning.
If anything, it's a pointing indictment of the logical fallacy in our society's way of thinking.
Surely, they do not mean to do that, because such an argument is a logical fallacy.
The little logical fallacy that bugged me the most was the scene where the earthquake followed the Amtrak train.
Predictably, the appeal to personal experience is another well-known logical fallacy.
It sounded like a logical fallacy, but it seemed pleasantly futuristic nonetheless.

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