Homework Help: Math

Posted by Jen on Wednesday, July 13, 2011 at 8:06pm.

(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 - Damon, Wednesday, July 13, 2011 at 9:27pm
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 - Damon, Wednesday, July 13, 2011 at 9:28pm
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)

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