Practice question · True or false
The possibility operator means that a sentence is probably true.
Hints
- Ask what the semantics actually requires for possibility.
- It requires truth in at least one accessible world, which says nothing about likelihood.
Show the answer
False
Why
False, possibility is not probability. says merely that some accessible world makes true, however improbable. Confusing the two turns a claim about what could be into a claim about what is likely.
Practise Modal Logic: Necessity and Possibility
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More questions on Modal Logic: Necessity and Possibility
- Why must deontic logic reject the principle that whatever is necessary is actually true?
- Arrange these modal systems in order of increasing strength, from the weakest constraints on accessibility to…
- Modal logic models necessity across possible worlds rather than degrees of belief. What follows from treating…
- Match each accessibility constraint to the principle it validates.
- Sort each claim by whether it concerns necessity or possibility.