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For each of the following determine whether the information given is sufficient to decide the truth value of the statement. If the information is enough, state the truth value. If it is insufficient, show that both truth values are possible.
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Abstract systems of logic have been constructed that employ three truth-values (e.g., true, false, and indeterminate) or even many, as in fuzzy logic, in which propositions have values between 0 and 1.When two statements have identical truth table columns, the statements are equivalent. To determine if two statements are equivalent, make a truth table having a column for each statement. If the columns are identical, then the statements are equivalent.
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