How Do We Review Logic?

Review Of Logic!

One of the goals of studying mathematics is to develop the ability to think critically. The study of critical thinking, or reasoning, is called logic.

1. "A square has 4 equal sides." What is the truth value of the negation of this sentence? Explanation Sentence: A square has 4 = sides. (T) Negation: A square does not have 4 = sides. (F) Answer False

2. What is the truth value of the statement "2 + 4 = 6 and 9 is a prime number."? Explanation 2+4=6 is true 9 is a prime number is false T and F is F Remember, BOTH must be T for AND to be T. Answer False

3. What is the truth value of the statement "Triangles have 3 sides or squares have 3 sides."? Answer True Under OR only one fact needs to be true.

4. What is the truth value of the statement "2 is even and 4 is odd."? Answer False For AND to be true, both facts must be true.

5. What is the truth value of the statement "If dogs bark, then horses quack."? Answer False -- T implies F is F.

Sentences, or statements, that have the same truth value are said to be logically equivalent. ("equivalent" means "equal")

In logic, a conjunction is a compound sentence formed by combining two sentences (or facts) using the word "and." A conjunction is true only when BOTH sentences (or facts) are true.

In logic, a conditional is a compound statement formed by combining two sentences (or facts) using the words "if ... then." A conditional can also be called an implication.

Source: RegentsPrep.Org