Exam 10: Deductive Arguments Ii Truth-Functional Logic

Using the letters provided below,symbolize this claim:"The continued use of pesticides is necessary for increased agricultural production." A = Agricultural production is increased. P = The use of pesticides is continued.

Determine whether the following is valid or invalid: If he doesn't think he'll pass the class,then either he'll be talking to someone,or he won't be paying attention,or both.Well,look at him.He's talking to someone.And he's not paying the least bit of attention.Clearly he doesn't think he'll pass the class.

Determine which of the lettered claims below is equivalent to the following:The gun can be sold even though it has no trigger lock.(This can be easy to do if you symbolize the claims first and have some familiarity either with truth tables or with the Group II rules for derivations-the truth-functional equivalences. )

Using the letters provided below,symbolize this claim:"Either we will plant from cuttings,or,if we don't plant perennials,we can plant from seed." P = We plant perennials. S = We plant from seed. C = We plant from cuttings.

Determine whether the following symbolized argument is valid or invalid.If invalid,provide a counterexample;if valid,construct a deduction. P v (Q & K) (P v Q) $\rarr$ [(L $\rarr$ ~X)& (~X $\rarr$ L)] (L $\rarr$ ~X) $\rarr$ (X & ~Y) (Y $\rarr$ Z)& (Z $\rarr$ M) (Q $\rarr$ K) $\rarr$ Z/ $\therefore$ Z