Proof 6.20 Language Proof and Logic
Premises: AvB, AvC
Conclusion Av(B^C)
I don't even know where to start with this one. I need some guidance. On an overall structure.
The only line I have is (AvB)^(AvC) ^ intro but after that I am completely lost.
Any guidance would be appreciated.
This is a fitch-style formal logic proof. Only can use things like contradiction elim/intro, v intro/elim, ^ intro/elim, and negation elim/intro.
Homework Answers
Premises Given: (A V B), (A V C)
Conclusion: A V (B ^ C)
Lets take (A V B) means A or B. So if A is true the result is True. If B is True, the result is true.
(A V C) means A or C. So if A is true the result is True. If C is True, the result is true.
| A V C | If A V C is True (Say A is True) |
| A V B | If A V B is True (A is True, but B can be True or False) |
| A V (B ^ C) | May/May not be True as A is True and depending upon B the final result can be True/False. Hence the Premise considered is wrong. |
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