Test your understanding of basic logic
1 / 7
The following argument Valid: June is younger than Pete. Pete is over 60. So, June must be younger than 60
This argument has the right form so it's valid even though the truth value of one of the premises is false (June can be 60 and still be younger than Pete). Remember that validity has to do with the form while soundness includes truth value.
2 / 7
The proper symbolization of "It is not the case that Ann and Bob will both swim" is:
Since both Ann and Bob will swim, you want to use the conjunction (ampersand symbol) as the operator. And you're negating the entire conjunction so you need the parentheses to indicate this. Putting the tilde in front of A, would only negate "Ann will swim" and not the conjunction symbol.
3 / 7
The proper symbolization of "Both Ann and Bob will not swim" is
4 / 7
Valid or Invalid?
Neither Ann nor Bob is home. So, Bob is surely not home.
5 / 7
The negation operator is dyadic.
6 / 7
Suppose ~P v ~ Q is a sentence form. Is the following sentence an instance of this form?
~[~A v ~(B v C)]
7 / 7
Suppose A is True, B is False, and the values of P and Q are unknown. Nevertheless, what is the truth value of the following:
(P v A) v (Q v P)
Your score is
The average score is 29%