Rewrite these implications using symbols. What is the truth value of each? For e

Question

Rewrite these implications using symbols. What is the truth value of
each? For example, If the sun is shining (P) then the sun is shining (P)
or it is snowing (Q). P ! (P _ Q)
(a) If it snows the schools will be closed. It is snowing therefore the
schools are closed.
(b) If I work all night I can fnish this project. I did not fnish the project
therefore I did not work all night.
(c) Tom is healthy and Tom is happy. Therefore Tom is happy.
(d) Mary is clever or lucky. But she is not lucky. Therefore she is not
clever.
(e) If it rains Bob does not take a walk. Bob took a walk. Therefore, it
did not rain.
(f) If the wind blows hard the beach erodes. If it rains heavily the streets
get fooded. Therefore if the wind blows hard and it rains heavily
then the beach erodes and the roads get fooded.

Explanation / Answer

a: P -> Q P Q true b: P -> Q ~Q ~P true c: P ^ Q Q true d: P v Q ~Q ~P false e: P -> Q ~Q ~P true f: (P -> Q) (R -> S) (P ^ R) -> (Q ^ S) true

Related Questions

Navigate

• Browse (All)
• Browse R
• Subjects

---

---

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