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Exercise 26 … (For-Credit: 6 points)
(partially adopted from textbook exercise 3-8)
Determine whether the following argument is valid or not
by showing how truth tables are utilized and interpreted:
[26-1] P1: P -> Q
P2: Q -> R
P3: ~R
—————-
C: ~P
[26-2] P1: ~D V ~F
P2: G -> (D & F)
——————-
C: ~G
Exercise 27 … (For-Credit: 6 points)
Do the three things with the argument given below:
1. (a) Identify atomic sentences employed in the argument; and
(b) assign the sentence constants (P, Q, R) to those atomic
sentences (in their order of appearance in the argument).
2. Symbolize the whole argument by employing those sentence
constants and the proper connectives.
3. Determine whether the following argument is valid or not by
demonstrating how Truth Tables can be employed and interpreted:
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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