The Logic Book 6th Edition: Sentential Logic: Semantics, p. 104, q. 3 Construct
ID: 3420740 • Letter: T
Question
The Logic Book 6th Edition: Sentential Logic: Semantics, p. 104, q. 3
Construct the corresponding material conditional for each of the following arguments. For each of the arguments, either show that the argument is truth-functionally invalid by constructing an appropriate shortened truth-table for the corresponding material conditional or show that the argument is truth-functionally valid by constructing a full truth-table for the corresponding material conditional.
(A v C) & ~ H
___________
~ C
Explanation / Answer
A C AVC H not H (AVC)& not H not C
T T T T F F F
T T T F T T F
T F T T F F T
T F T F T T T
F T T T F F F
F T T F T T F
F F F T F F T
F F F F T F T
Now notice that last two columns are not same.therefore the argument is truth-functionally invalid.
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.