Review the following inferences and tell me if you consider them valid conclusions one can draw from the give information. i. if the moon is made of green cheese, then cows jump over it. the moon is made of green cheese, therefore, cows jump over the moon. ii. if socrates was a philosopher then he wasn't a historian. socrates wasn't a historian. so, socrates was a philosopher. note: i may not grade this question. the only reason you are asked to solve them is for me to get a feel for the mathematical maturity of the members of this class.