So if you think someone isn't being logical, just walk away. No sense in deigning them with a response. Better to stay silent at the end and let your argument defend itself, than call names at the end and shoot a hole through your credibility.
There's a saying that goes "better to remain silent and be assumed an idiot, than to open your mouth and relieve all doubt." If someone disagrees with you, that is fine. But let them disagree with you on the subject. First one to take it beyond that is the first one to lose.
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GO SPURS.