Let me define the following predicates:

O(x,y) means: "x owns y"

C(x) mean: "x is a car"

I want to translate these two sentences from English to FOL:

1) It isn't true that everyone owns a car

2) Either someone owns a car or no one owns a car

These are my proposed translations to FOL:


2) ∃x∃y(O(x,y)∧C(y)) ∨ ∀x¬∃y(O(x,y)∧C(y)

  • These seem like a series of homework questions, which aren't technically off-topic, but are somewhat frowned upon, since our goal here isn't to get people out of homework. Can you give a little more context for your interest in FOL, and your difficulty with these problems? – Chris Sunami supports Monica Feb 15 '16 at 16:11

These look correct to me, although the second is missing a close parenthesis. By the way, I believe the second one is a tautology.

| improve this answer | |

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.