Practice question · True or false
In logic, "P or Q" is true when both P and Q are true.
Hints
- Logical disjunction is inclusive rather than exclusive.
- It is true when at least one disjunct holds, which includes the case where both do.
Show the answer
True
Why
True, logical disjunction is inclusive. Ordinary English often means the exclusive sense ("tea or coffee" usually excludes both), which is why translations need care, but the symbol is always inclusive.
Practise The Language of Propositional Logic
The app has 4 more questions on this lesson, and keeps your place in the course. Philosophy I is free to start.
More questions on The Language of Propositional Logic
- A conditional fails only when it promises something and does not deliver. In how many of the four assignments…
- Logical connectives are truth-functional, meaning the truth value of a compound depends solely on the truth…
- Arrange these compounds so that each is true in strictly more of the four assignments than the one before it.
- Which translations are correct?
- Sort each sentence by whether the main connective is a conjunction, a disjunction or a conditional.
- Complete the account of the material conditional.