Verify that the proposition (p V q) V ~ (p ^ q) is a tautology using the truth table.
Verify that the proposition p ^ ~ (p V q) is a contradiction using the truth table.
Determine whether or not the following argument is valid using the truth table.
If I like mathematics, then I will study it
Either I study mathematics or fail the course
If I fail the course, then I do not like mathematics
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In general, to determine validity, go through every row of the truth-table to find a row where ALL the premises are true AND the conclusion is false. ... If not, the argument is valid. If there is one or more rows, then the argument is not valid.
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