Logic in Everyday Life

Which of the following are propositions?

1. Pigs can fly.

2. What?

3. I don't know.

4. I like tofu.

Which of the following are propositions?

1. How far?

2. Portland is not in Oregon.

3. Portland Community College.

4. It is raining.

Write the negation of each proposition.

1. I ride my bike to campus.

2. Portland is not in Oregon.

Write the negation of each proposition.

1. You should see this movie.

2. Lashonda is wearing blue.

Write the negation of each proposition.

1. Nobody rides their bike to campus.

2. All cities named Portland are in Oregon.

Write the negation of each proposition.

1. Everyone should see this movie.

2. Lashonda never wears blue.

Write a proposition that contains a double negative.

Write a proposition that contains a triple negative.

For each situation, decide whether the “or” is most likely exclusive or inclusive.

1. An entrée at a restaurant includes soup or salad.

2. You should bring an umbrella or a raincoat with you.

For each situation, decide whether the “or” is most likely exclusive or inclusive.

1. We can keep driving on I-5 or get on I-405 at the next exit.

2. You should save this document on your computer or a flash drive.

For each situation, decide whether the “or” is most likely exclusive or inclusive.

1. I will wear a sweater or a jacket.

2. My next vacation will be on the Oregon Coast or Mount Hood.

For each situation, decide whether the “or” is most likely exclusive or inclusive.

1. While in California I will go to the beach or Disneyland.

2. The insurance agent offers car or boat insurance.

Rewrite the statement in the conditional form if p, then q.

1. Whenever it is sunny, I go swimming.

2. I go see a movie on Fridays.

Rewrite the statement in the conditional form if p, then q.

1. I always carry an umbrella when it rains.

2. On the weekend I like to hang out with friends.

Determine whether the compound statement is true or false.

1. An apple is a vegetable or an apple is a fruit.

2. Portland is not a city in Oregon.

3. Fish can walk and birds can swim.

4. If $2 + 5 = 10$, then $2 + 7 = 12$.

Determine whether the compound statement is true or false.

1. A horse is not a mammal.

2. If a horse is a mammal, then fish are mammals.

3. A triangle has three sides or four angles.

4. The Eiffel Tower is in London and the Taj Mahal is in India.

Determine whether the compound statement is true or false.

1. A square has four sides and all sides are equal.

2. A square is not a triangle.

3. Six is an odd number or a multiple of 5.

4. If dogs have wings, then seven is an even number.

Determine whether the compound statement is true or false.

1. An octogon has 8 sides or a rectangle has 5 sides.

2. An octogon does not have 8 sides.

3. If an octogon has 8 sides, then a triangle has three angles.

4. Whales are not mammals and cats are mammals.

Write the converse, inverse and contrapositive of the statement: “If you go to the store, then you will have food for dinner.”

Write the converse, inverse and contrapositive of the statement: “If you do your homework, then you will do well on the test.”

Identify which pairs of statements are logically equivalent.

1. If you do not use your credit well, then you will not have a good credit rating.

2. If you use your credit well, then you will have a good credit rating.

3. If you have a good credit rating, then you use your credit well.

4. If you do not have a good credit rating then you do not use your credit well.

Identify which pairs of statements are logically equivalent.

1. If you are not wearing shorts, then it is not hot outside.

2. If you are wearing shorts, then it is hot outside.

3. If it is not hot ouside, then you are not wearing shorts.

4. If it is hot outside, then you will wear shorts.