Come up with an instance of argument that conforms to HS.
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).
P1: A V B
P2: C ⊃ D
P3: A ⊃ C
Do a Proof for the following argument: 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):
1. (R V S) ⊃ (T ⊃ K)
3. R V S
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
[26-2] P1: ~D V ~F
P2: G -> (D & F)