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  1. Modus ponens - Wikipedia

    From these two premises it can be logically concluded that Q, the consequent of the conditional claim, must be the case as well. An example of an argument that fits the form modus ponens: If today is …

  2. If A then B: Modus Ponens, Modus Tollens, Affirming the ...

    May 28, 2023 · In this example, modus ponens demonstrates that if it is raining (affirming the antecedent), it logically follows that the ground will be wet. The validity of modus ponens ensures …

  3. What Is Modus Ponens? | Definition & Examples - QuillBot

    Nov 25, 2025 · Modus ponens is a type of conditional syllogism that takes the following form: Arguments that correctly apply this form are valid, meaning that the conclusion follows logically from the …

  4. Logic - Good and Bad - SMU

    There are two consistent logical argument constructions: modus ponens ("the way that affirms by affirming") and modus tollens ("the way that denies by denying").

  5. Rules of Inference - GeeksforGeeks

    Aug 12, 2025 · Modus Ponens (Law of Detachment) If a conditional statement ("if-then" statement) is true, and its antecedent (the "if" part) is true, then its consequent (the "then" part) must also be true. …

  6. 1.8: Patterns of Valid Arguments - Humanities LibreTexts

    Example: Either the government brings about more sensible educational reforms, or the only good schools left will be private ones for rich kids. The government is not going to carry out sensible …

  7. Modus ponens and modus tollens | Syllogism, Conditional ...

    Modus ponens and modus tollens, in propositional logic, two types of inference that can be drawn from a hypothetical proposition—i.e., from a proposition of the form “If A, then B” (symbolically A ⊃ B, in …