Overliteral Argument
One person refuses to 'agree to disagree' because it's logically self-contradictory.
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Cartoon by Ben Orlin, Math with Bad Drawings. https://cartoons.mathwithbaddrawings.com/2018-04-25-overliteral-argument/ (CC BY-NC 4.0)Transcript
A: "Look, let's agree to disagree." B: "Impossible. Oxymoronic. That's like signing a treaty to keep fighting."
A: "No, what I mean is..." B: "Like making a blood pact that we're done with blood pacts."
A: "If you'd just quit being so overliteral for a second..." B: "How dare you. 'Overliteral' isn't a mask I can take off. It's who I am."