What logical fallacy does the statement "I wouldn't take the examination if I were you. Remember, today is Friday the 13th!" exemplify?

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The statement illustrates the non sequitur logical fallacy because the conclusion drawn does not logically follow from the premise presented. In this case, the speaker suggests avoiding the examination based on the superstition associated with Friday the 13th. This assertion is disconnected from any real evidence that links the day to the performance on the examination. The reasoning lacks coherence, as the day’s significance does not impact one's ability to take or succeed in an exam. Thus, this disjunction between the premise and conclusion clearly exemplifies the non sequitur fallacy, where the argument presented fails to establish a meaningful relationship between its components.

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