The 'silent premise' move in reconstructing arguments (per Toulmin's critique of syllogistic models) smuggles in logical form that need not reflect the speaker's actual commitments.

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Critique of syllogistic models(history of logic): A challenge to the old-fashioned logical system where you combine two statements to reach a conclusion (like 'all men are mortal; Socrates is a man; therefore Socrates is mortal')—Toulmin said this doesn't capture real-world reasoning.
Reconstructing arguments(logical analysis): Taking apart someone's reasoning to see all the pieces: what they claimed, what evidence they used, and what they assumed.
Silent premise(argument reconstruction): An assumption that someone makes in an argument but doesn't actually state out loud—it's hidden in the background.
Speaker's actual commitments(argumentation): What someone truly believes or is willing to stand behind, based on what they explicitly say and genuinely mean.
Toulmin(philosophy of logic): Stephen Toulmin was a 20th-century philosopher who criticized traditional logic for being too rigid and not matching how real people actually argue.
logical form(Used to characterize logical consequence): The way that a sentence is built up from the logical particles.

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