Come up with an instance of argument that conforms to HS

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zbetunawreel

Humanities

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Question# 1

Part A:

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).

C: B

==================

P1: A V B

P2: C ⊃ D

P3: A ⊃ C

P4: ~D

========================================================================

Part B:

Exercise 31

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):

C. ~T

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

1. (R V S) ⊃ (T ⊃ K)

2. ~K

3. R V S

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

Part C:

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

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Explanation & Answer

Attached.

step
p1

premise

justification

p -> ~q

p2

~r -> q

p3

Modus Tollens M.T

p

conclusion

r

If things are caused to exist, regress of existence is not possible.
If God is not the ultimate cause of existence, then infinite regress of existence is possible.
But things are caus...


Anonymous
This is great! Exactly what I wanted.

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