Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

What does the following mean in terms of sets? Can someone explain this in words?

$$\{x \mid I \vDash \varphi(x)\}$$

where $I$ is an interpretation

share|improve this question

2 Answers 2

$\{x \mid I \vDash \varphi(x)\}\;\;$ is the set of all $\;x\;$ such that $\;\varphi(x)\;$ is true in the given interpretation $I$.

share|improve this answer

All $x$ such that $\varphi(x)$ is true in this interpretation.

share|improve this answer

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

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