Final answer:
The statement "You are despicable" is an example of an ad hominem logical fallacy, where the argument is dismissed by attacking the person's character instead of addressing the argument itself.
Step-by-step explanation:
The logical fallacy exemplified by the statement "You are despicable" is best identified as an ad hominem attack. This is a fallacy where an argument is rebutted by attacking the character, motive, or other attribute of the person making the argument, rather than addressing the substance of the argument itself. The phrase "against the man" locates the focus of the discourse on the person, not on the argument or evidence. It is an example of poor reasoning or rhetoric where the individual presenting a position is discredited to invalidate their argument, without engaging with the actual issues raised.
In essence, an ad hominem is a diversionary tactic used to shift attention away from the argument and onto the speaker. This can often be emotionally charged, leveraging the audience's negative feelings towards the speaker to dismiss their argument without proper consideration. It is an unethical persuasive technique as it relies on prejudice or dislike rather than logical reasoning.