(a) given each of the following bits of information and without making any extra assumptions, for each item, circle "t" if it logically follows, "f" if its negation logically follows, and "i" if there is insufficient information to decide. (hint: use simple truth value computations and proof rule conversions. it may to symbolize the sentences.) (i) info: either the trains don't run, or the workers accept the deal. the workers don't accept the deal. (a) the trains run (b) the trains run if the workers accept the deal. (c) the trains don't run or the workers don't accept the deal. i f i te i iei (ii) info: some wombats are not vicious. wally is a wombat. ie i iei iei iei i fi (a) wally is not vicious. (b) not all wombats are vicious. (c) some wombats are vicious. (d) not all wombats are not vicious. (e) all wombats are vicious. (b) answer true (t) or false (f): (a) if a conjunction is a contradiction, then each of its conjuncts must also be contradictions. i f (b) a valid argument with true premises and a true conclusion is sound (c) if two statement forms are consistent, then they must logically imply each other. (d) if (ex)(fx v gx)' is true, then 'ax)fx' must be true. i e i e i e