Truth value in math

[aburchett]

Let p represent a true statement, while q and r represent false statements. Find the truth value of the compound statement.

(p?~q)?r

so far I have T?T?F then I'm not sure where to go from there to find out if this statement if true or false.

 

[tkhunny]

"^F" on the outside is a pretty good sign. Does it matter what's inside the parentheses?

 

[aburchett]

I'm really not sure how to determine if this is a true of false statement.

 

[tkhunny]

r is false. Why do you need to know more.

For regular multiplication of real numbers
(something) * 0 = 0 -- Do you really need to know what "something" is?

 

[aburchett]

Are you saying that anytime "r" is false the statement is false? Because I had a problem last week that was like this:

Determine the truth value of the statement (~p<-->q)-->(~q<-->r) when p is false, q is true, and r is false and the solution was:

(~p<-->q)-->(~q<-->r)
(T<-->T)-->(F<-->F)
T-->T
T

For this specific case the statement is true.

 

[tkhunny]

T^F is F
F^F is F