SOLUTION: Write the argument belowin symbols to determine whether it is valid or invalid. State a reason for your conclusion. Specify the p and q you used. If the koi are swimming in the

Algebra ->  Conjunction -> SOLUTION: Write the argument belowin symbols to determine whether it is valid or invalid. State a reason for your conclusion. Specify the p and q you used. If the koi are swimming in the      Log On


   

Question 261272: Write the argument belowin symbols to determine whether it is valid or invalid. State a reason for your conclusion. Specify the p and q you used.
If the koi are swimming in the pond, then the birds are chirping.
The koi are not swimming in the pond.
The birds are not chirping.

I am so confused and need help please.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent "The koi are swimming in the pond"

Let represent "The birds are chirping"

Then "If the koi are swimming in the pond, then the birds are chirping" can be represented by either:

If then

or



"The koi are not swimming in the pond" is the negation of statement , or

But Material Implication says that



is equivalent to



But since we are given , is true regardless of the value of . Therefore knowing implies nothing regarding the value of and the argument is invalid.

John