Syllogism & Detachment

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.

Tags

CCSS.RL.9-10.1

CCSS.RI.8.8

CCSS.RI.8.1

CCSS.RL.8.1

CCSS.RL.11-12.1

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.RI.9-10.1

CCSS.RL.9-10.1

CCSS.RI.8.1

CCSS.RI.11-12.2

CCSS.RL.8.1

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 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.RI.9-10.1

CCSS.RL.9-10.1

CCSS.RL.8.1

CCSS.RL.11-12.1

CCSS.RI.8.1

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

• not possible

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.8.1C

CCSS.L.8.3A

CCSS.L.2.1F

If the sun is shining it is a beautiful day. If it is a beautiful day then we will go go hiking.

• If the sun is not shining, we will not go hiking.

• If the sun is shining then we will go hiking.

• No conclusion can be made.

• If we go hiking, then it is a beautiful day.

Tags

CCSS.8.F.A.3

Which law of logic is this?

If I clean the bathroom, then I don't have to do the dishes.

I cleaned the bathroom.

Therefore, I don't have to do the dishes.

• Law of Detachment

• Law of Syllogism

• Law of Contrapositive

• None

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

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

Statement 2: I will study from 6pm to 7pm tonite.

• I study for several hours each day.

• I will do well on the exam

• If I do well on the exam, I studied for hours.

• not possible

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, then...

• 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.RL.9-10.1

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.8.1

CCSS.RL.11-12.1