files/folder/Homework?preview-5230026 LPS 30/PHIL 30/LING 43 Due in Section Week 3 Homework 1 1. Translate the following from English into SL (write what the propositional letters stand for e.g. S "Sandy will go" and J - "Juan will go," etc.: a) Either Sandy will go or Juan will not go, but Lauren won't make it. b) Martina will give me a loan only if I sign a contract and I py interest. c) If I go to Beijing, I'll visit the hutongs; but if I go to Kyoto, I'll visit the shrines. d) The firm will pay Devon's tuition if he gets into Santa Clara Law; and Devon crushed the LSAT e) I'll pick Nivedita up from the airport unless her flight is delayed; although we'll get brunch if and only if I wake up early on Saturday. 2. Decide whether or not the following are well formed formulas or not (using our strict definition) b) (PQ) d) (P&-Q&R) Ps-Q 3. Produce a complete truth table (i.e. list the subformulas) for each of the following formulas, and decide if each is a contingency, contradiction, or tautology. a) ((P &Q)P) b) ((P & Q) v (P v Q) c) (P(-P & Q)) d) ((Q & R) (QP)) 4. Use the truth table method to determine whether or not the following arguments are 46/files/folder/Homework?preview 5230026 b) (PQ) c) ((PVQ)&R d) (P&-Q&R) 3. Produce a complete truth table (i.e. list the subformulas) for each of the following formulas, and decide if each is a contingency, contradiction, or tautology b) ((P & Q) v(P v Q)) d) (Q & R) (QP)) 4. Use semantically valid or not. (You may use any shortcuts we learned in class, but don't have to): the truth table method to determine whether or not the following arguments are a) -R, (P v Q)((P&-R) v(Q & -R) b) (P & Q), (-P v -Q).R