Law of Detachment and Syllogism

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

• Invalid
• Valid
• Julie is a Great Dane

• Julie is really a cat.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Draw a conclusion from the statement.
If a whole number is even, then its square is divisible by 4.
The number I am thinking of is an even number.

• Then it's not odd.
• Then it's a whole number.
• Then its square is divisible by 4
• Then it's even.

Draw a conclusion from the statement. If a parasite lives on a host organism, then it harms its host. A virus is a parasite.

• A virus will harm the host.

• I have a cold.
• A virus lives on a host

• Invalid

Tags

CCSS.L.4.1C

CCSS.L.9-10.1B

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

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

Tags

CCSS.HSA.SSE.A.1

Draw a conclusion from the statement.
If you go fishing, then you will need to bring your fishing rod.
You go fishing.

• You will need to bring your fishing rod.
• Invalid
• You are a boring person.
• You are going to catch a fish.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

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
• No valid conclusion

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write nov valid conclusion

Statement 1: If I study for one hour each day, then I will score well on the exam Statement 2: I will score well on the exam

•  I study for 1 hour each day.
• I do not study for 1 hour each day
• If I do well on the exam, I studied for 1 hour each day.
• no valid conclusion

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.

Tags

CCSS.L.4.1C

CCSS.L.9-10.1B

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 you can conclude the binding on his book is broken. Is this a valid conclusion?

• Yes
• No

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

If a mineral is gypsum, it has a hardness of 2.
If a mineral has a hardness of 2, it can be scratched with a fingernail.
Using the Law of Syllogism, what logically comes next?

• If a mineral can be scratched with a fingernail, then it is gypsum.
• If a mineral is gypsum, it can be scratched with a fingernail.
• If a mineral has a hardness of 2, then it can't be scratched with anything.
• It can be scratched with a fingernail.