In effect, an

**argument is valid if**the truth of the premises logically guarantees the truth of the conclusion. The following**argument is valid**, because it is impossible for the premises to be true and the conclusion nevertheless to be false: Elizabeth owns either a Honda or a Saturn.Moreover, what does a truth table show?

A

**truth table**is a breakdown of a logic function by listing all possible values the function can attain. Such a**table**typically contains several rows and columns, with the top row representing the logical variables and combinations, in increasing complexity leading up to the final function.Why are truth tables important?

A

**truth table**is a mathematical**table**used in logic—specifically in connection with Boolean algebra, boolean functions, and propositional calculus—which sets out the functional values of logical expressions on each of their functional arguments, that is, for each combination of values taken by their logical variables (What is critical row in truth table?

examining the

**critical rows**in the**truth table**of the premises and the conclusion. The conclusion must be true in all**rows**where all the premises are true. showing that the expression "If premises then conclusion" is a tautology: by constructing its**truth table**.