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[31-1] Do the following 3 things to a Proof for the following argument:
[31-1] Do the following 3 things to 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.
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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
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[33-1] Come up with an instance of argument that conforms to HS.
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[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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