Practice question · Sort into groups
Sort each sentence by whether the main connective is a conjunction, a disjunction or a conditional.
Groups: Main connective is conjunction · Main connective is disjunction · Main connective is conditional
- P and (Q or R)
- not-P and Q
- if (P and Q) then R
- not-P or not-Q
- (P and Q) or R
Hints
- The main connective is the one applied last, outside all the brackets.
- Bracketing decides which connective is outermost.
Show the answer
Main connective is conjunction: not-P and Q, P and (Q or R)
Main connective is disjunction: (P and Q) or R, not-P or not-Q
Main connective is conditional: if (P and Q) then R
Why
The main connective is whichever is applied last. "P and (Q or R)" is a conjunction while "(P and Q) or R" is a disjunction, even though both contain the same three letters and the same two connectives.
Practise The Language of Propositional Logic
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