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There are many, and they are fascinating. Start with the link below. This is not necessarily an exhaustive list.

Some fallacious arguments are subtle and strong, and it can take some effort to see through them. The 'false dilemma' fallacy at the link is particularly interesting. Sometimes for the sake of simplicity examples of fallacies are brought down to terms that are so simple it is hard to see them 'in action' in real-life arguments.

For examples, see "An example of false dilemma?" link below.

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