Restricted and Unrestricted Modus Ponens

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Abstract
In a typical modus ponens the reasoner will (a) assert that a premise materially implies a conclusion in a given world; (b) assert this premise and (c) infer the conclusion. But this restricted modus ponens has little in common with the unrestricted textbook modus ponens, since the latter claims that there are no possible worlds where: (a’) a premise materially implies a conclusion, (b’) that premise is true and (c’) the conclusion is false. It is clear that this textbook modus ponens cannot be a real argumentative form since the same inference cannot be repeated across all possible worlds by one reasoner. What is wrong?
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First archival date: 2020-09-02
Latest version: 8 (2021-01-18)
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2020-09-02

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