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Math

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(a) translate the argument into symbolic form and (b) determine if the argument is valid or invalid. You may compare the argument to a standard form or use a truth table.

If Nicholas Thompson teaches this course, then I will get a passing grade.

I did not get a passing grade.

∴ Nicholas Thompson did not teach the course.

  • Math - ,

    If a cow, then mammal - hypothesis

    If a mammal then a cow - converse, invalid

    If not a cow , then not a mammal - inverse, invalid

    If not a mammal, then not a cow - contrapositive - true

    Here:
    If NT teaches, then pass - hypothesis

    If pass, then NT - converse, invalid

    If not NT, then not pass - inverse, invalid

    If not pass, then not NT - contrapositive, true (this is your case)

  • Math - ,

    (a) translate the argument into symbolic form and (b) determine if the argument is valid or invalid. You may compare the argument to a standard form or use a truth table.
    If I can get my child to preschool by 9:45AM, then I can take the 9:00AM class.
    If I can take the 9AM class, then I can be done by 2PM
    If I can get my child to preschool by 8:45AM then I can be done by 2PM

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