Match the following well-formed formulas with their main connective

Question

-(A&B)

A

(A&-B) → B)

(BvC)

(A&-B)

Answer 1

So the main connective is the one that determines the truth-value for the sentence as a whole.

In the first example, ~(A & B), the main connective is negation. This is easy to see because it's outside the parentheses and so it clearly applies to the whole conjunction.

In the third example, (A & ~B) --> B), which I think is missing a parenthesis and that might affect which is the main connective!, let's just assume the whole thing is in parens. If so, that material conditional is the main connective because it links the conjunction in parentheses with that other B. The material conditional is the "outermost" connective.

Hope that helps!