Question

Are the following word sequences statements? Justify your answer.A) I swear to tell the truthB) good ideas sleep furiouslyC) Go away, you're getting on my nerves.B- Build the truth table containing the following compound propositions:> P <=> (Q V R)

Answer 1

Looking at the sentences presented in A, B and C,

A is not a statement because it cannot be proven to be true or false

B is a statement because it can be proven to be true or false

C is not a statement because it cannot be proven to be true or false

So we will be building a truth table for B

Now we will build a table for (Q V R) first. This means Q or R.

We have

And next is P <=> (Q V R), this means P is true or false if and only if Q or R is true/false.

We have