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  1. logic - What is the difference between a sound argument and a valid ...

    In my notes, these are the definitions of a valid argument An argument form is valid if and only if whenever the premises are all true, then conclusion is true. An argument is valid if its argu...

  2. Discrete Math - Determine if the argument is valid

    An argument is valid if and only if its conclusion can never be false while its premises are true. In your example, notice that the premises are not $p$/$q$, but $p\to q$ and $\neg q$.

  3. discrete mathematics - Show that the argument form with premises

    Jan 25, 2019 · I want to use the rules of inference to show that the argument form with premises $ (p∧t)→ (r∨s)$, $q→ (u∧t),u→p$, and $¬s$ and conclusion $q→r$ is valid.

  4. Is every argument with false premises and conclusion valid?

    Jan 4, 2021 · An argument with a false premise and true conclusion could be valid or invalid. Consider the argument some squared number is negative; therefore, every squared number is nonnegative.

  5. Question About The Validity of An Argument - Mathematics Stack …

    Apr 26, 2022 · This can be translated as: "For a valid argument, if all the premises are true, then the conclusion must be true." The contra-positive of the statement is: "For a valid argument, if the …

  6. logic - Modus Ponens Proof - Mathematics Stack Exchange

    Sep 24, 2014 · @HenningMakholm Valid means if you consider the premises to be true, then the conclusion must be true.However, I don't know any other definition of a valid argument and I …

  7. Using a truth table to determine if valid or invalid

    Apr 14, 2014 · This doesn't make the argument valid, as you could have an invalid argument with such a row. What you should check for is the PRESENCE or ABSENCE of a row in which the premises are …

  8. Invalid Argument vs. Contradiction? - Mathematics Stack Exchange

    An argument is valid when the statement "all of it's hypothesis are true implies the conclusion" is a tautology. When we show an argument is invalid we are showing the above quoted implication …

  9. logic - Why does my valid argument with true premises have a false ...

    Aug 16, 2024 · Why does my valid argument have a false conclusion even though its premises are all true?

  10. What is a vacuously valid argument? - Mathematics Stack Exchange

    Oct 23, 2020 · A valid argument is an argument where it is impossible that all the premise are true and the conclusion is false. Your example above has a set of premise that is inconsistent (or unsatisfiable).