Logic and Reasoning Quiz Review

Complete the truth table

• T

  T

  F

• F

  T

  F

• T

  F

  T

Complete the truth table.

• F

  F

  T

• T

  T

  T

• F

  T

  T

What is a counterexample?

• used to prove that a conjecture is false

• an "if....then" statement

• a negative of a statement represented with this symbol ~

What is inductive reasoning?

• unproven statement based on observations

• reasoning based on specific examples and patters used to form conjectures

• states "If not Q, then not P."

What is negation?

• states If Q, then P

• 
  

  a negative of a statement represented with ~

  
  

• statement believed to be true based on observations

If your dog plays fetch, then he will be happy.

Which part of this statement is the conclusion?

• if your dog plays fetch

• he will be happy

What is the inverse of the following conditional?

If it is not snowing, then Brittany is wearing sneakers.

• A

• B

• C

What is the contrapositive of the following conditional?

If Vince is not at the zoo, then he will see a singer.

• A

• B

• C

Using deductive reasoning, which of the following completes the statement to form a valid conclusion?

If if it raining, we will not go outside.

If we will not go outside, we will not play basketball.

If it is raining, then.......

• we will stay inside

• we will stay dry

• we will go outside

• we will not play basketball

Is the following conditional true?

• yes

• no