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[31-1] Do the following 3 things to do a Proof for the following argument: NB: This is the same argument that you worked on in Exercise 27 to use TT for testing validity. Follow the three steps: 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 ——————-

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