Do the following 3 things to a Proof for the following argument: Assign P, Q, and R to the atomic sentences in the order of appearance in the...

Do the following 3 things to 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.

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  [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

              -----------------------------

  [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