[31-1] Do the following 3 things to do a Proof for the following argument: 1. Assign P, Q, and R to the atomic sentences in the order of appearance in the argu

   [31-1]   Do the following 3 things to do a Proof for the            following argument:            1. Assign P, Q, and R to the atomic sentences in the               order of appearance in the argument.            2. Formalize the argument.            3. Derive the conclusion from the premises by               using the rules of inference.         P1:  If things are caused to exist,              then the infinite regress of existence is not possible.         P2:  God is not the ultimate cause of existence,              only if the infinite regress of existence is possible.         P3:  By the way, things are caused to exist.         C:   Therefore, God is the ultimate cause of existence.   --------------------------------------------------------------   [31-2]   "Derive" the conclusion (C) from the 3 premises            (1 to 3) in a formalized argument below by            employing rules of inference (i.e., proof, where            you need to come up with additional steps beyond            3 below to lead you to the conclusion):               C.  ~T               -----------------------------               1.  (R V S)  ->  (T -> K)               2.  ~K               3.  R V S               -----------------------------

Exercise 33 ... (For-Credit of 5 points)   [33-1]   Come up with an instance of argument that conforms to HS.   -------------------------------------------------------------   [33-2]   Derive the conclusion from the given premises in            the argument below by utilizing the rules of            inference (hint: use HS, MT, DS, or some other            combination, as an alternative is available            here).               C:   B               -------------------               1:   A  V  B               2:   C ->  D               3:   A ->  C               4:  ~D               -------------------