Part iv: logical concepts. put t for true and f for false as points each) appropriate in the spaces provided. (2 9. any argument with a v a for its conclusion is valid. any argument with a a among its premises is valid. if a valid argument has a tautology as its only premise, its conclusion is a contradiction. if p is a tautology and p is logically equivalent to q, then q must be a tautology. ifp is contradictory to q, then p v q must be a tautology if p and q are inconsistent, then p /: . q must be a valid argument the negation of any contingent statement is a tautology. the negation of any self-contradictory statement is a tautology if p and q are contingent, then it is impossible for them to be logically equivalent. if p is contingent, then -p must also be contingent. 10. 11. 12 13. 14. 15. 16. 17. 18. part v: extra credit (optional). the following may be completed for optional extra credit (10 points possible). consider the following argument: if marcia goes to the store, chips will be bought. if barb goes to the store, then chips will be bought. marsha or barb goes to the store. therefore, chips will be bought. using the symbols below, give a full symbolization of the argument in the spaces provided. (a) m: marcia goes to the store b: barb goes to the store c: chips will be bought symbolization: premise: premise: conclusion: in the space below, build a truth table to prove that this is, indeed, a valid argument. (b)