Critical thinking,short table

2010-04-14 5:07 pm
Can anyone please determine me the following argument is valid or not in SHORT TRUTH TABLE method (indirect truth table method) of critical thinking?

1. (A v B) -> ( C & D )
2. ( X v Y ) -> ( ~C & ~W)
3. ( X v Z ) -> ( A & E )
Therefore, ~X

If the argument is invalid, please also indicate truth values of the simple propositions that demonstrate the invalidity.

VERY URGENT!!!! 15 POINTS!!! THANKS

回答 (1)

2010-04-15 3:54 am
✔ 最佳答案
Suppose AvB→CΛD/ XvY→~CΛ~W/ XvZ→AΛE / ~X
T T T FT
So AvB→CΛD/ XvY→~CΛ~W/ XvZ→AΛE / ~X
TF T TFF /TT T TF T TF / TT T TTT/ FT

Contradiction. The argument is valid.

2010-04-14 19:56:13 補充:
咁難得度住位黎寫,最後一Submit都係移哂位添。。。你自己試下就番黎睇


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