Practice question · Multiple choice
Logical connectives are truth-functional, meaning the truth value of a compound depends solely on the truth values of its parts. What follows from this principle when assessing an argument framed in natural language?
Hints
- What does truth-functionality leave out when evaluating compound statements?
- Does a connective's mechanical rule require knowledge of why a proposition holds?
Show the answer
B. We can ignore context and meaning once truth values are fixed
Why
Truth-functionality abstracts away semantic nuance, causation, and context once inputs are set. Treating natural language this way enables rigorous formal deduction, though it deliberately excludes non-truth-functional aspects like temporal order.
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…
- In logic, "P or Q" is true when both P and Q are true.
- 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.