Syllogism and Detachment

If there is lightening, then it is not safe to be out in the open. Mary sees lightening from her home.

• It is not safe for the lightening

• No conclusion can be made.

• It is not safe for Mary to be out in the open.

• There is lightening.

If we see John on Monday, then we can ask him over for lunch. We see John on Monday.

• John may eat with us.

• John saw us on Monday

• No conclusion can be made since the hypothesis did not occur.

• We asked John to have lunch with us.

Tags

CCSS.HSS.CP.A.3

If it rains on Tuesday we will not go to the park on Tuesday.

If we do not go to the park on Tuesday we will go on Wednesday.

• If it rains on Tuesday, we will go Wednesday.

• If we go to the park on Wednesday, then it rained on Tuesday.

• No conclusion can be made.

• If we go to the park on Tuesday, then it rained on Tuesday.

Tags

CCSS.RL.9-10.1

CCSS.RI.11-12.2

CCSS.RI.9-10.1

CCSS.RL.11-12.1

CCSS.RL.8.1

If you go to the swimming pool, then you will enjoy yourself. If you enjoy yourself, you will want to return.

• If you return to the pool you will enjoy yourself.

• If you enjoy yourself, then you went to the pool.

• If you go to the pool, you will want to return.

• No conclusion can be made.

Tags

CCSS.L.8.1C

CCSS.L.8.3A

CCSS.L.2.1F

Draw a conclusion from the statement.
If you live in Orlando, then you live in Florida.
You live in Orlando.

• You live in Disney Land
• You are an old person.
• You live in Florida
• You live in Orlando

Tags

CCSS.L.8.1C

CCSS.L.8.3A

CCSS.L.2.1F

Use the law of syllogism to draw a conclusion from the two given statements:
Statement 1: If you exercise regularly, then you have a healthy body
Statement 2: If you have a healthy body, then you have more energy

• You have more energy
• If you exercise regularly, then you have more energy
• You have a healthy body
• If you do not have a healthy body, then you do not exercise regularly

Draw a conclusion from the statement.
If can rent a car, then you are at least 25 year old.
You are at least 25 years old.

• You are at least 25 years old
• You can rent a car
• You can go on a road trip
• Invalid

Determine whether the stated conclusion is valid.
Given: If an animal is a dog, then they like biscuits.
Sammy is a dog.
Conclusion: Sammy likes biscuits.

• Invalid
• Valid
• Sammy is a Great Dane
• Sammy is really a cat.

Using the Law of Syllogism, which of the following completes the statement to form a valid conclusion?
If it is snowing heavily, then school will be canceled.
If school is canceled, the big test will not be given today.
It is snowing heavily, therefore

• look out for the snowplows while driving to school.
• the big test will not be given today.
• the roads will be hard to drive on.
• you should call the school to see if school is canceled.

If the binding of the book is broken, then the student will have to pay for a new one. Michael has to pay for a new book, so he concludes the binding on his book is broken. Is he correct?

• Yes
• No

Tags

CCSS.HSS.CP.A.5