In the following English sentence it is not the case is meant to say that the re

Question

In the following English sentence it is not the case is meant to say that the rest of the sentence should be negated: It is not the case that I was not late to class or I missed a quiz Such sentences are difficult to interpret, but we can apply principles of logic to improve them. Identify the simple propositions and logical operators in that sentence, express the sentence as a logical expression, apply double negation and the appropriate DeMorgan law to simplify the expression, and finally express the simplified expression in conversational English.

Explanation / Answer

Consider the given statement " It is not the case that I was not late to class or I missed a quiz. "

Let us denote

P : I was late to class

Q : I missed a quiz

Then the given statement in symbolic form is

¬ ( ¬ P V Q ) ¬ ( ¬ P ) ¬ Q      Demorgan law

                   ( P ¬ Q )

So that the symbolic form can be written in statement form as follows :

" I was late to class and I did not miss a quiz. "

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.